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131141425552440 = 23357316789643607
BaseRepresentation
bin11101110100010110111110…
…000101011101110000111000
3122012022222221102120011022120
4131310112332011131300320
5114142110114420134230
61142525312244521240
736423440530625412
oct3564267605356070
9565288842504276
10131141425552440
1138870847968976
12128601060b0220
135823777869c64
1424553c92b79b2
151026451c72310
hex7745be15dc38

131141425552440 has 128 divisors (see below), whose sum is σ = 401201760476160. Its totient is φ = 34285452125184.

The previous prime is 131141425552369. The next prime is 131141425552441. The reversal of 131141425552440 is 44255524141131.

It is a super-3 number, since 3×1311414255524403 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131141425552392 and 131141425552401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141425552441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43358884 + ... + 46284723.

It is an arithmetic number, because the mean of its divisors is an integer number (3134388753720).

Almost surely, 2131141425552440 is an apocalyptic number.

131141425552440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141425552440 is an abundant number, since it is smaller than the sum of its proper divisors (270060334923720).

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

131141425552440 is a wasteful number, since it uses less digits than its factorization.

131141425552440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89643861 (or 89643857 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

Adding to 131141425552440 its reverse (44255524141131), we get a palindrome (175396949693571).

The spelling of 131141425552440 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred twenty-five million, five hundred fifty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 167 219 292 334 365 438 501 584 668 730 835 876 1002 1095 1336 1460 1670 1752 2004 2190 2505 2920 3340 4008 4380 5010 6680 8760 10020 12191 20040 24382 36573 48764 60955 73146 97528 121910 146292 182865 243820 292584 365730 487640 731460 1462920 89643607 179287214 268930821 358574428 448218035 537861642 717148856 896436070 1075723284 1344654105 1792872140 2151446568 2689308210 3585744280 5378616420 6543983311 10757232840 13087966622 14970482369 19631949933 26175933244 29940964738 32719916555 39263899866 44911447107 52351866488 59881929476 65439833110 74852411845 78527799732 89822894214 98159749665 119763858952 130879666220 149704823690 157055599464 179645788428 196319499330 224557235535 261759332440 299409647380 359291576856 392638998660 449114471070 598819294760 785277997320 898228942140 1092845212937 1796457884280 2185690425874 3278535638811 4371380851748 5464226064685 6557071277622 8742761703496 10928452129370 13114142555244 16392678194055 21856904258740 26228285110488 32785356388110 43713808517480 65570712776220 131141425552440