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131480242440 = 233519232507251
BaseRepresentation
bin111101001110011010…
…1010100100100001000
3110120101002021100111220
41322130311110210020
54123232420224230
6140222353522040
712333126422661
oct1723465244410
9416332240456
10131480242440
1150840195198
1221594573320
13c524769b31
146513d08368
153647ca8d10
hex1e9cd54908

131480242440 has 128 divisors (see below), whose sum is σ = 433253145600. Its totient is φ = 31771872000.

The previous prime is 131480242429. The next prime is 131480242441. The reversal of 131480242440 is 44242084131.

It is not an unprimeable number, because it can be changed into a prime (131480242441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201186 + ... + 1306065.

It is an arithmetic number, because the mean of its divisors is an integer number (3384790200).

Almost surely, 2131480242440 is an apocalyptic number.

131480242440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131480242440 is an abundant number, since it is smaller than the sum of its proper divisors (301772903160).

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

131480242440 is a wasteful number, since it uses less digits than its factorization.

131480242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507307 (or 2507303 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 131480242440 in words is "one hundred thirty-one billion, four hundred eighty million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1748 2185 2280 2622 2760 3496 4370 5244 6555 8740 10488 13110 17480 26220 52440 2507251 5014502 7521753 10029004 12536255 15043506 20058008 25072510 30087012 37608765 47637769 50145020 57666773 60174024 75217530 95275538 100290040 115333546 142913307 150435060 173000319 190551076 230667092 238188845 285826614 288333865 300870120 346000638 381102152 461334184 476377690 571653228 576667730 692001276 714566535 865001595 952755380 1095668687 1143306456 1153335460 1384002552 1429133070 1730003190 1905510760 2191337374 2306670920 2858266140 3287006061 3460006380 4382674748 5478343435 5716532280 6574012122 6920012760 8765349496 10956686870 13148024244 16435030305 21913373740 26296048488 32870060610 43826747480 65740121220 131480242440