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243100240640 = 2852347917239
BaseRepresentation
bin1110001001100111100…
…1110100101100000000
3212020111001222202122022
43202121321310230000
512440332130200030
6303402333501012
723364151644155
oct3423171645400
9766431882568
10243100240640
1194109825994
123b145941768
1319c0278214a
14baa230a22c
1564cc200de5
hex3899e74b00

243100240640 has 144 divisors (see below), whose sum is σ = 608922316800. Its totient is φ = 92812701696.

The previous prime is 243100240609. The next prime is 243100240673. The reversal of 243100240640 is 46042001342.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14093141 + ... + 14110379.

It is an arithmetic number, because the mean of its divisors is an integer number (4228627200).

Almost surely, 2243100240640 is an apocalyptic number.

243100240640 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 243100240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304461158400).

243100240640 is an abundant number, since it is smaller than the sum of its proper divisors (365822076160).

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

243100240640 is a wasteful number, since it uses less digits than its factorization.

243100240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17762 (or 17748 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 243100240640 its reverse (46042001342), we get a palindrome (289142241982).

The spelling of 243100240640 in words is "two hundred forty-three billion, one hundred million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 479 640 736 920 958 1280 1472 1840 1916 2395 2944 3680 3832 4790 5888 7360 7664 9580 11017 14720 15328 17239 19160 22034 29440 30656 34478 38320 44068 55085 61312 68956 76640 86195 88136 110170 122624 137912 153280 172390 176272 220340 275824 306560 344780 352544 396497 440680 551648 613120 689560 705088 792994 881360 1103296 1379120 1410176 1585988 1762720 1982485 2206592 2758240 2820352 3171976 3525440 3964970 4413184 5516480 6343952 7050880 7929940 8257481 11032960 12687904 14101760 15859880 16514962 22065920 25375808 31719760 33029924 41287405 50751616 63439520 66059848 82574810 101503232 126879040 132119696 165149620 189922063 253758080 264239392 330299240 379844126 507516160 528478784 660598480 759688252 949610315 1056957568 1321196960 1519376504 1899220630 2113915136 2642393920 3038753008 3798441260 5284787840 6077506016 7596882520 10569575680 12155012032 15193765040 24310024064 30387530080 48620048128 60775060160 121550120320 243100240640