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131141124033440 = 2553938320811823
BaseRepresentation
bin11101110100010110101100…
…000111010000101110100000
3122012022222011102012102000012
4131310112230013100232200
5114142104010223032230
61142525222314144052
736423430210021313
oct3564265407205640
9565288142172005
10131141124033440
1138870702747214
1212860041122028
13582372a259951
14245539b22a97a
151026435563395
hex7745ac1d0ba0

131141124033440 has 48 divisors (see below), whose sum is σ = 309828787285248. Its totient is φ = 52455115136256.

The previous prime is 131141124033433. The next prime is 131141124033449. The reversal of 131141124033440 is 44330421141131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131141124033397 and 131141124033406.

It is not an unprimeable number, because it can be changed into a prime (131141124033449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4104632 + ... + 16707191.

It is an arithmetic number, because the mean of its divisors is an integer number (6454766401776).

Almost surely, 2131141124033440 is an apocalyptic number.

131141124033440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141124033440 is an abundant number, since it is smaller than the sum of its proper divisors (178687663251808).

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

131141124033440 is a wasteful number, since it uses less digits than its factorization.

131141124033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20851221 (or 20851213 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131141124033440 its reverse (44330421141131), we get a palindrome (175471545174571).

The spelling of 131141124033440 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twenty-four million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 39383 78766 157532 196915 315064 393830 630128 787660 1260256 1575320 3150640 6301280 20811823 41623646 83247292 104059115 166494584 208118230 332989168 416236460 665978336 832472920 1664945840 3329891680 819632025209 1639264050418 3278528100836 4098160126045 6557056201672 8196320252090 13114112403344 16392640504180 26228224806688 32785281008360 65570562016720 131141124033440