Search a number
-
+
243033130105040 = 245112392707426871
BaseRepresentation
bin110111010000100110001111…
…011000110111100011010000
31011212111201222200222001121102
4313100212033120313203100
5223323323322301330130
62220515513442243532
7102122364345026102
oct6720461730674320
91155451880861542
10243033130105040
117048a8540a13a0
12233115476565a8
13a57bc06087392
144402c1b033572
151d16cb1d1c645
hexdd098f6378d0

243033130105040 has 160 divisors (see below), whose sum is σ = 619229675335680. Its totient is φ = 87973194355200.

The previous prime is 243033130104997. The next prime is 243033130105091. The reversal of 243033130105040 is 40501031330342.

243033130105040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2430331301050402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 243033130104994 and 243033130105012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569122805 + ... + 569549675.

It is an arithmetic number, because the mean of its divisors is an integer number (3870185470848).

Almost surely, 2243033130105040 is an apocalyptic number.

243033130105040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243033130105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309614837667840).

243033130105040 is an abundant number, since it is smaller than the sum of its proper divisors (376196545230640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243033130105040 is a wasteful number, since it uses less digits than its factorization.

243033130105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429841 (or 429835 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 243033130105040 its reverse (40501031330342), we get a palindrome (283534161435382).

The spelling of 243033130105040 in words is "two hundred forty-three trillion, thirty-three billion, one hundred thirty million, one hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 239 440 478 880 956 1195 1912 2390 2629 2707 3824 4780 5258 5414 9560 10516 10828 13145 13535 19120 21032 21656 26290 27070 29777 42064 43312 52580 54140 59554 105160 108280 119108 148885 210320 216560 238216 297770 426871 476432 595540 646973 853742 1191080 1293946 1707484 2134355 2382160 2587892 3234865 3414968 4268710 4695581 5175784 6469730 6829936 7116703 8537420 9391162 10351568 12939460 14233406 17074840 18782324 23477905 25878920 28466812 34149680 35583515 37564648 46955810 51757840 56933624 71167030 75129296 93911620 102022169 113867248 142334060 187823240 204044338 284668120 375646480 408088676 510110845 569336240 816177352 1020221690 1122243859 1155539797 1632354704 2040443380 2244487718 2311079594 4080886760 4488975436 4622159188 5611219295 5777698985 8161773520 8977950872 9244318376 11222438590 11555397970 12710937767 17955901744 18488636752 22444877180 23110795940 25421875534 44889754360 46221591880 50843751068 63554688835 89779508720 92443183760 101687502136 127109377670 203375004272 254218755340 276174011483 508437510680 552348022966 1016875021360 1104696045932 1380870057415 2209392091864 2761740114830 3037914126313 4418784183728 5523480229660 6075828252626 11046960459320 12151656505252 15189570631565 22093920918640 24303313010504 30379141263130 48606626021008 60758282526260 121516565052520 243033130105040