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131332314240 = 2732522800749
BaseRepresentation
bin111101001010000000…
…1000001010010000000
3110112222202220211011200
41322110001001102000
54122432033023430
6140155551141200
712326352152301
oct1722401012200
9415882824150
10131332314240
1150774738586
1221552b14800
13c4ccc14c5a
1464dc3dc7a8
153639cd8460
hex1e94041480

131332314240 has 96 divisors (see below), whose sum is σ = 453506917500. Its totient is φ = 35021948928.

The previous prime is 131332314209. The next prime is 131332314241. The reversal of 131332314240 is 42413233131.

It is a happy number.

131332314240 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 231 + 424 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117144645696 + 14187668544 = 342264^2 + 119112^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (131332314241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11394615 + ... + 11406134.

Almost surely, 2131332314240 is an apocalyptic number.

131332314240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131332314240 is an abundant number, since it is smaller than the sum of its proper divisors (322174603260).

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

131332314240 is a wasteful number, since it uses less digits than its factorization.

131332314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22800774 (or 22800759 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131332314240 its reverse (42413233131), we get a palindrome (173745547371).

The spelling of 131332314240 in words is "one hundred thirty-one billion, three hundred thirty-two million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 22800749 45601498 68402247 91202996 114003745 136804494 182405992 205206741 228007490 273608988 342011235 364811984 410413482 456014980 547217976 684022470 729623968 820826964 912029960 1026033705 1094435952 1368044940 1459247936 1641653928 1824059920 2052067410 2188871904 2736089880 2918495872 3283307856 3648119840 4104134820 4377743808 5472179760 6566615712 7296239680 8208269640 8755487616 10944359520 13133231424 14592479360 16416539280 21888719040 26266462848 32833078560 43777438080 65666157120 131332314240