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131402313984 = 2831249136987
BaseRepresentation
bin111101001100000110…
…0000011000100000000
3110120011122122011202210
41322120030003010000
54123102443021414
6140210531342120
712331162145214
oct1723014030400
9416148564683
10131402313984
11508001a9407
1221572451940
13c511583616
146507820944
153641013e59
hex1e98303100

131402313984 has 72 divisors (see below), whose sum is σ = 350004340000. Its totient is φ = 43765383168.

The previous prime is 131402313971. The next prime is 131402314009. The reversal of 131402313984 is 489313204131.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890739 + ... + 1027725.

Almost surely, 2131402313984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131402313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175002170000).

131402313984 is an abundant number, since it is smaller than the sum of its proper divisors (218602026016).

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

131402313984 is a wasteful number, since it uses less digits than its factorization.

131402313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138255 (or 138241 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 131402313984 in words is "one hundred thirty-one billion, four hundred two million, three hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1249 2498 3747 4996 7494 9992 14988 19984 29976 39968 59952 79936 119904 136987 159872 239808 273974 319744 410961 479616 547948 821922 959232 1095896 1643844 2191792 3287688 4383584 6575376 8767168 13150752 17534336 26301504 35068672 52603008 105206016 171096763 342193526 513290289 684387052 1026580578 1368774104 2053161156 2737548208 4106322312 5475096416 8212644624 10950192832 16425289248 21900385664 32850578496 43800771328 65701156992 131402313984