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131404230340 = 225311578391609
BaseRepresentation
bin111101001100001001…
…1010110111011000100
3110120011210020112111221
41322120103112323010
54123103440332330
6140211040410124
712331214346235
oct1723023267304
9416153215457
10131404230340
1150801298179
1221573016944
13c511aa4966
146507b9d08c
153641291b7a
hex1e984d6ec4

131404230340 has 96 divisors (see below), whose sum is σ = 287184844800. Its totient is φ = 50450549760.

The previous prime is 131404230281. The next prime is 131404230367. The reversal of 131404230340 is 43032404131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81667456 + ... + 81669064.

It is an arithmetic number, because the mean of its divisors is an integer number (2991508800).

Almost surely, 2131404230340 is an apocalyptic number.

131404230340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131404230340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143592422400).

131404230340 is an abundant number, since it is smaller than the sum of its proper divisors (155780614460).

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

131404230340 is a wasteful number, since it uses less digits than its factorization.

131404230340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 131404230340 its reverse (43032404131), we get a palindrome (174436634471).

The spelling of 131404230340 in words is "one hundred thirty-one billion, four hundred four million, two hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 157 310 314 620 628 785 839 1570 1609 1678 3140 3218 3356 4195 4867 6436 8045 8390 9734 16090 16780 19468 24335 26009 32180 48670 49879 52018 97340 99758 104036 130045 131723 199516 249395 252613 260090 263446 498790 505226 520180 526892 658615 997580 1010452 1263065 1317230 1349951 2526130 2634460 2699902 4083413 5052260 5399804 6749755 7831003 8166826 13499510 15662006 16333652 20417065 26999020 31324012 39155015 40834130 41848481 78310030 81668260 83696962 156620060 167393924 209242405 211942307 418484810 423884614 836969620 847769228 1059711535 2119423070 4238846140 6570211517 13140423034 26280846068 32851057585 65702115170 131404230340