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1369714380132 = 2237827125915661
BaseRepresentation
bin10011111011101001010…
…101101100110101100100
311211221110202020220022010
4103323221111230311210
5134420133340131012
62525123232434220
7200646541063140
oct23735125546544
94757422226263
101369714380132
1148899007188a
121a15626a8970
139c21830a447
144a41a292220
1525969417c3c
hex13ee956cd64

1369714380132 has 96 divisors (see below), whose sum is σ = 3660126704640. Its totient is φ = 390538350720.

The previous prime is 1369714380131. The next prime is 1369714380149. The reversal of 1369714380132 is 2310834179631.

It is a happy number.

It is a super-3 number, since 3×13697143801323 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1369714380131) by changing a digit.

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, 87452382 + ... + 87468042.

It is an arithmetic number, because the mean of its divisors is an integer number (38126319840).

Almost surely, 21369714380132 is an apocalyptic number.

1369714380132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1369714380132 is an abundant number, since it is smaller than the sum of its proper divisors (2290412324508).

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

1369714380132 is a wasteful number, since it uses less digits than its factorization.

1369714380132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17761 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1369714380132 in words is "one trillion, three hundred sixty-nine billion, seven hundred fourteen million, three hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 827 1259 1654 2481 2518 3308 3777 4962 5036 5789 7554 8813 9924 11578 15108 15661 17367 17626 23156 26439 31322 34734 35252 46983 52878 62644 69468 93966 105756 109627 187932 219254 328881 438508 657762 1041193 1315524 2082386 3123579 4164772 6247158 7288351 12494316 12951647 14576702 19717199 21865053 25903294 29153404 38854941 39434398 43730106 51806588 59151597 77709882 78868796 87460212 90661529 118303194 138020393 155419764 181323058 236606388 271984587 276040786 362646116 414061179 543969174 552081572 828122358 1087938348 1656244716 16306123573 32612247146 48918370719 65224494292 97836741438 114142865011 195673482876 228285730022 342428595033 456571460044 684857190066 1369714380132