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13901388901398 = 2321943945286883
BaseRepresentation
bin1100101001001010101101…
…0110001110110000010110
31211012221220200202010001100
43022102223112032300112
53310230021024321043
645322113201010530
72633225243011215
oct312225326166026
954187820663040
1013901388901398
11447a600698789
121686223023a46
1379ab8410836b
14360b8ba7107c
15191918ab4cd3
hexca4ab58ec16

13901388901398 has 48 divisors (see below), whose sum is σ = 32442245858880. Its totient is φ = 4287821296752.

The previous prime is 13901388901363. The next prime is 13901388901427. The reversal of 13901388901398 is 89310988310931.

13901388901398 is a `hidden beast` number, since 1 + 39 + 0 + 1 + 388 + 90 + 139 + 8 = 666.

It is a super-2 number, since 2×139013889013982 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472628736 + ... + 472658147.

It is an arithmetic number, because the mean of its divisors is an integer number (675880122060).

Almost surely, 213901388901398 is an apocalyptic number.

13901388901398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

13901388901398 is an abundant number, since it is smaller than the sum of its proper divisors (18540856957482).

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

13901388901398 is a wasteful number, since it uses less digits than its factorization.

13901388901398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945286953 (or 945286950 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 13901388901398 in words is "thirteen trillion, nine hundred one billion, three hundred eighty-eight million, nine hundred one thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 18 19 38 43 57 86 114 129 171 258 342 387 774 817 1634 2451 4902 7353 14706 945286883 1890573766 2835860649 5671721298 8507581947 17015163894 17960450777 35920901554 40647335969 53881352331 81294671938 107762704662 121942007907 161644056993 243884015814 323288113986 365826023721 731652047442 772299383411 1544598766822 2316898150233 4633796300466 6950694450699 13901388901398