Search a number
-
+
131404024401400 = 23521742191801051
BaseRepresentation
bin11101111000001011100010…
…001100100100110111111000
3122020021002202101121212010101
4131320023202030210313320
5114210410420221321100
61143250101521325144
736451425136205302
oct3570134214446770
9566232671555111
10131404024401400
1138962152095893
12128a2b91a967b4
135842466b7535a
142463dbb070972
15102d1c0b9d86a
hex7782e2324df8

131404024401400 has 96 divisors (see below), whose sum is σ = 324254167811280. Its totient is φ = 49352244480000.

The previous prime is 131404024401347. The next prime is 131404024401401. The reversal of 131404024401400 is 4104420404131.

131404024401400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131404024401401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44469126 + ... + 47331925.

Almost surely, 2131404024401400 is an apocalyptic number.

131404024401400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131404024401400 is an abundant number, since it is smaller than the sum of its proper divisors (192850143409880).

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

131404024401400 is a wasteful number, since it uses less digits than its factorization.

131404024401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91801505 (or 91801496 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 131404024401400 its reverse (4104420404131), we get a palindrome (135508444805531).

The spelling of 131404024401400 in words is "one hundred thirty-one trillion, four hundred four billion, twenty-four million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 421 425 680 842 850 1684 1700 2105 3368 3400 4210 7157 8420 10525 14314 16840 21050 28628 35785 42100 57256 71570 84200 143140 178925 286280 357850 715700 1431400 91801051 183602102 367204204 459005255 734408408 918010510 1560617867 1836021020 2295026275 3121235734 3672042040 4590052550 6242471468 7803089335 9180105100 12484942936 15606178670 18360210200 31212357340 38648242471 39015446675 62424714680 77296484942 78030893350 154592969884 156061786700 193241212355 309185939768 312123573400 386482424710 657020122007 772964849420 966206061775 1314040244014 1545929698840 1932412123550 2628080488028 3285100610035 3864824247100 5256160976056 6570201220070 7729648494200 13140402440140 16425503050175 26280804880280 32851006100350 65702012200700 131404024401400