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131914293040 = 2454574637793
BaseRepresentation
bin111101011011010110…
…1000101111100110000
3110121111100000102000001
41322312231011330300
54130130024334130
6140333421035344
712346646663425
oct1726655057460
9417440012001
10131914293040
1150a431a78a2
12216959b5b54
13c593670cca
146555813d4c
153670e466ca
hex1eb6b45f30

131914293040 has 80 divisors (see below), whose sum is σ = 308075246208. Its totient is φ = 52529799168.

The previous prime is 131914293037. The next prime is 131914293041. The reversal of 131914293040 is 40392419131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (131914293041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16923384 + ... + 16931176.

Almost surely, 2131914293040 is an apocalyptic number.

131914293040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131914293040 is an abundant number, since it is smaller than the sum of its proper divisors (176160953168).

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

131914293040 is a wasteful number, since it uses less digits than its factorization.

131914293040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 131914293040 in words is "one hundred thirty-one billion, nine hundred fourteen million, two hundred ninety-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 457 463 914 926 1828 1852 2285 2315 3656 3704 4570 4630 7312 7408 7793 9140 9260 15586 18280 18520 31172 36560 37040 38965 62344 77930 124688 155860 211591 311720 423182 623440 846364 1057955 1692728 2115910 3385456 3561401 3608159 4231820 7122802 7216318 8463640 14245604 14432636 16927280 17807005 18040795 28491208 28865272 35614010 36081590 56982416 57730544 71228020 72163180 142456040 144326360 284912080 288652720 1648928663 3297857326 6595714652 8244643315 13191429304 16489286630 26382858608 32978573260 65957146520 131914293040