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14200236729690 = 23511192339968273
BaseRepresentation
bin1100111010100100000000…
…0100001110010101011010
31212021112021220122202100020
43032221000010032111122
53330124041100322230
650111255415051310
72663635050436434
oct316510004162532
955245256582306
1014200236729690
114585317486360
121714126670b36
137c00cc31a55b
1437141bb73654
151995aa034810
hexcea4010e55a

14200236729690 has 128 divisors (see below), whose sum is σ = 39152352844800. Its totient is φ = 3259900707840.

The previous prime is 14200236729649. The next prime is 14200236729697. The reversal of 14200236729690 is 9692763200241.

It is a super-2 number, since 2×142002367296902 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14200236729697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14181394 + ... + 15149666.

It is an arithmetic number, because the mean of its divisors is an integer number (305877756600).

Almost surely, 214200236729690 is an apocalyptic number.

14200236729690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14200236729690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19576176422400).

14200236729690 is an abundant number, since it is smaller than the sum of its proper divisors (24952116115110).

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

14200236729690 is a wasteful number, since it uses less digits than its factorization.

14200236729690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970652.

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 14200236729690 in words is "fourteen trillion, two hundred billion, two hundred thirty-six million, seven hundred twenty-nine thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1254 2090 2339 3135 4678 6270 7017 11695 14034 23390 25729 35085 44441 51458 70170 77187 88882 128645 133323 154374 222205 257290 266646 385935 444410 488851 666615 771870 968273 977702 1333230 1466553 1936546 2444255 2904819 2933106 4841365 4888510 5809638 7332765 9682730 10651003 14524095 14665530 18397187 21302006 29048190 31953009 36794374 53255015 55191561 63906018 91985935 106510030 110383122 159765045 183971870 202369057 275957805 319530090 404738114 551915610 607107171 1011845285 1214214342 2023690570 2264790547 3035535855 4529581094 6071071710 6794371641 11323952735 13588743282 22647905470 24912696017 33971858205 43031020393 49825392034 67943716410 74738088051 86062040786 124563480085 129093061179 149476176102 215155101965 249126960170 258186122358 373690440255 430310203930 473341224323 645465305895 747380880510 946682448646 1290930611790 1420023672969 2366706121615 2840047345938 4733412243230 7100118364845 14200236729690