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15401075324238 = 2341941122038981
BaseRepresentation
bin1110000000011101011110…
…0111111011010101001110
32000112022212102022212210000
43200013113213323111032
54004312400240333423
652431053433425130
73146456001201522
oct340072747732516
960468772285700
1015401075324238
1149a861757399a
1218889b8b6b1a6
1387941357c046
143b35b77d1d82
151ba93d66c843
hexe01d79fb54e

15401075324238 has 80 divisors (see below), whose sum is σ = 37212126391440. Its totient is φ = 4744875542400.

The previous prime is 15401075324231. The next prime is 15401075324263. The reversal of 15401075324238 is 83242357010451.

15401075324238 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 107 + 532 + 4 + 2 + 3 + 8 = 666.

It is a super-2 number, since 2×154010753242382 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15401075324193 and 15401075324202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15401075324231) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60893293 + ... + 61145688.

It is an arithmetic number, because the mean of its divisors is an integer number (465151579893).

Almost surely, 215401075324238 is an apocalyptic number.

15401075324238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

15401075324238 is an abundant number, since it is smaller than the sum of its proper divisors (21811051067202).

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

15401075324238 is a wasteful number, since it uses less digits than its factorization.

15401075324238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122039055 (or 122039046 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 15401075324238 in words is "fifteen trillion, four hundred one billion, seventy-five million, three hundred twenty-four thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 41 54 57 81 82 114 123 162 171 246 342 369 513 738 779 1026 1107 1539 1558 2214 2337 3078 3321 4674 6642 7011 14022 21033 42066 63099 126198 122038981 244077962 366116943 732233886 1098350829 2196701658 2318740639 3295052487 4637481278 5003598221 6590104974 6956221917 9885157461 10007196442 13912443834 15010794663 19770314922 20868665751 30021589326 41737331502 45032383989 62605997253 90064767978 95068366199 125211994506 135097151967 187817991759 190136732398 270194303934 285205098597 375635983518 405291455901 570410197194 810582911802 855615295791 1711230591582 2566845887373 5133691774746 7700537662119 15401075324238