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131214323240 = 235711133277081
BaseRepresentation
bin111101000110011111…
…0111010111000101000
3110112200112220020221122
41322030332322320220
54122211331320430
6140140134154412
712323420226230
oct1721476727050
9415615806848
10131214323240
1150714079160
122151b4b2a08
13c4b16425b0
1464ca886cc0
15362e77cee5
hex1e8cfbae28

131214323240 has 128 divisors (see below), whose sum is σ = 396395838720. Its totient is φ = 37751961600.

The previous prime is 131214323239. The next prime is 131214323267. The reversal of 131214323240 is 42323412131.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1598501 + ... + 1678580.

It is an arithmetic number, because the mean of its divisors is an integer number (3096842490).

Almost surely, 2131214323240 is an apocalyptic number.

131214323240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131214323240 is an abundant number, since it is smaller than the sum of its proper divisors (265181515480).

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

131214323240 is a wasteful number, since it uses less digits than its factorization.

131214323240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3277123 (or 3277119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 131214323240 its reverse (42323412131), we get a palindrome (173537735371).

It can be divided in two parts, 131214 and 323240, that added together give a palindrome (454454).

The spelling of 131214323240 in words is "one hundred thirty-one billion, two hundred fourteen million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 3277081 6554162 13108324 16385405 22939567 26216648 32770810 36047891 42602053 45879134 65541620 72095782 85204106 91758268 114697835 131083240 144191564 170408212 180239455 183516536 213010265 229395670 252335237 288383128 298214371 340816424 360478910 426020530 458791340 468622583 504670474 596428742 720957820 852041060 917582680 937245166 1009340948 1192857484 1261676185 1441915640 1491071855 1704082120 1874490332 2018681896 2343112915 2385714968 2523352370 2982143710 3280358081 3748980664 4686225830 5046704740 5964287420 6560716162 9372451660 10093409480 11928574840 13121432324 16401790405 18744903320 26242864648 32803580810 65607161620 131214323240