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131355551331040 = 25517185392604913
BaseRepresentation
bin11101110111011110011000…
…111110011111001011100000
3122020002110122012222202012011
4131313132120332133023200
5114204112132120043130
61143211523543242304
736445061005000411
oct3567363076371340
9566073565882164
10131355551331040
1138943638326663
1212895704449394
13583aa105661ba
1424618dd453808
15102bcd53c252a
hex777798f9f2e0

131355551331040 has 96 divisors (see below), whose sum is σ = 328599898230240. Its totient is φ = 49448815263744.

The previous prime is 131355551330951. The next prime is 131355551331041. The reversal of 131355551331040 is 40133155553131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 131355551330984 and 131355551331002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131355551331041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49123624 + ... + 51728536.

It is an arithmetic number, because the mean of its divisors is an integer number (3422915606565).

Almost surely, 2131355551331040 is an apocalyptic number.

131355551331040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131355551331040 is an abundant number, since it is smaller than the sum of its proper divisors (197244346899200).

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

131355551331040 is a wasteful number, since it uses less digits than its factorization.

131355551331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623484 (or 2623476 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 131355551331040 in words is "one hundred thirty-one trillion, three hundred fifty-five billion, five hundred fifty-one million, three hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 18539 37078 74156 92695 148312 185390 296624 315163 370780 593248 630326 741560 1260652 1483120 1575815 2521304 2604913 2966240 3151630 5042608 5209826 6303260 10085216 10419652 12606520 13024565 20839304 25213040 26049130 41678608 44283521 50426080 52098260 83357216 88567042 104196520 177134084 208393040 221417605 354268168 416786080 442835210 708536336 885670420 1417072672 1771340840 3542681680 7085363360 48292482107 96584964214 193169928428 241462410535 386339856856 482924821070 772679713712 820972195819 965849642140 1545359427424 1641944391638 1931699284280 3283888783276 3863398568560 4104860979095 6567777566552 7726797137120 8209721958190 13135555133104 16419443916380 26271110266208 32838887832760 65677775665520 131355551331040