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131404413402 = 233191571914271
BaseRepresentation
bin111101001100001010…
…0000011100111011010
3110120011210120211122000
41322120110003213122
54123104012212102
6140211044341430
712331216041033
oct1723024034732
9416153524560
10131404413402
1150801402769
12215730a4876
13c511b3a092
146507c09a8a
1536412cb01c
hex1e985039da

131404413402 has 128 divisors (see below), whose sum is σ = 311028940800. Its totient is φ = 41006347200.

The previous prime is 131404413337. The next prime is 131404413407. The reversal of 131404413402 is 204314404131.

131404413402 is a `hidden beast` number, since 1 + 314 + 0 + 4 + 4 + 1 + 340 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131404413407) 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, 30764527 + ... + 30768797.

It is an arithmetic number, because the mean of its divisors is an integer number (2429913600).

Almost surely, 2131404413402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404413402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155514470400).

131404413402 is an abundant number, since it is smaller than the sum of its proper divisors (179624527398).

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

131404413402 is a wasteful number, since it uses less digits than its factorization.

131404413402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 131404413402 its reverse (204314404131), we get a palindrome (335718817533).

The spelling of 131404413402 in words is "one hundred thirty-one billion, four hundred four million, four hundred thirteen thousand, four hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 157 171 191 314 342 382 471 513 573 942 1026 1146 1413 1719 2826 2983 3438 3629 4239 4271 5157 5966 7258 8478 8542 8949 10314 10887 12813 17898 21774 25626 26847 29987 32661 38439 53694 59974 65322 76878 80541 81149 89961 97983 115317 161082 162298 179922 195966 230634 243447 269883 486894 539766 569753 670547 730341 809649 815761 1139506 1341094 1460682 1619298 1631522 1709259 2011641 2191023 2447283 3418518 4023282 4382046 4894566 5127777 6034923 7341849 10255554 12069846 12740393 14683698 15383331 15499459 18104769 22025547 25480786 30766662 30998918 36209538 38221179 44051094 46498377 76442358 92996754 114663537 128074477 139495131 229327074 256148954 278990262 343990611 384223431 418485393 687981222 768446862 836970786 1152670293 2305340586 2433415063 3458010879 4866830126 6916021758 7300245189 14600490378 21900735567 43801471134 65702206701 131404413402