Search a number
-
+
13301104140240 = 2435735922053827
BaseRepresentation
bin1100000110001110011110…
…0101100101111111010000
31202002120110211001200200120
43001203213211211333100
53220411130124441430
644142235355150240
72541654521512560
oct301434745457720
952076424050616
1013301104140240
114268a6a589994
1215a9a14a45380
1375639a487337
1433dac3a62da0
15180ed3c48610
hexc18e7965fd0

13301104140240 has 160 divisors (see below), whose sum is σ = 47255178332160. Its totient is φ = 3031783567872.

The previous prime is 13301104140169. The next prime is 13301104140257. The reversal of 13301104140240 is 4204140110331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13301104140240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10423794 + ... + 11630033.

It is an arithmetic number, because the mean of its divisors is an integer number (295344864576).

Almost surely, 213301104140240 is an apocalyptic number.

13301104140240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301104140240 is an abundant number, since it is smaller than the sum of its proper divisors (33954074191920).

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

13301104140240 is a wasteful number, since it uses less digits than its factorization.

13301104140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22054209 (or 22054203 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13301104140240 its reverse (4204140110331), we get a palindrome (17505244250571).

The spelling of 13301104140240 in words is "thirteen trillion, three hundred one billion, one hundred four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 359 420 560 718 840 1077 1436 1680 1795 2154 2513 2872 3590 4308 5026 5385 5744 7180 7539 8616 10052 10770 12565 14360 15078 17232 20104 21540 25130 28720 30156 37695 40208 43080 50260 60312 75390 86160 100520 120624 150780 201040 301560 603120 22053827 44107654 66161481 88215308 110269135 132322962 154376789 176430616 220538270 264645924 308753578 330807405 352861232 441076540 463130367 529291848 617507156 661614810 771883945 882153080 926260734 1058583696 1235014312 1323229620 1543767890 1764306160 1852521468 2315651835 2470028624 2646459240 3087535780 3705042936 4631303670 5292918480 6175071560 7410085872 7917323893 9262607340 12350143120 15834647786 18525214680 23751971679 31669295572 37050429360 39586619465 47503943358 55421267251 63338591144 79173238930 95007886716 110842534502 118759858395 126677182288 158346477860 166263801753 190015773432 221685069004 237519716790 277106336255 316692955720 332527603506 380031546864 443370138008 475039433580 554212672510 633385911440 665055207012 831319008765 886740276016 950078867160 1108425345020 1330110414024 1662638017530 1900157734320 2216850690040 2660220828048 3325276035060 4433701380080 6650552070120 13301104140240