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140431895184 = 243716711032269
BaseRepresentation
bin1000001011001001100…
…1001010101010010000
3111102110221101102120010
42002302121022222100
54300101031121214
6144302530514520
713101014261640
oct2026231125220
9442427342503
10140431895184
1154614164409
1223272435a40
13103201c0089
146b22b36520
1539bdad5659
hex20b264aa90

140431895184 has 160 divisors (see below), whose sum is σ = 417653268480. Its totient is φ = 39829418496.

The previous prime is 140431895183. The next prime is 140431895269. The reversal of 140431895184 is 481598134041.

It is a super-2 number, since 2×1404318951842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (140431895183) 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, 61890402 + ... + 61892670.

It is an arithmetic number, because the mean of its divisors is an integer number (2610332928).

Almost surely, 2140431895184 is an apocalyptic number.

140431895184 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140431895184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208826634240).

140431895184 is an abundant number, since it is smaller than the sum of its proper divisors (277221373296).

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

140431895184 is a wasteful number, since it uses less digits than its factorization.

140431895184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 140431895184 in words is "one hundred forty billion, four hundred thirty-one million, eight hundred ninety-five thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 167 168 334 336 501 668 1002 1103 1169 1336 2004 2206 2269 2338 2672 3309 3507 4008 4412 4538 4676 6618 6807 7014 7721 8016 8824 9076 9352 13236 13614 14028 15442 15883 17648 18152 18704 23163 26472 27228 28056 30884 31766 36304 46326 47649 52944 54456 56112 61768 63532 92652 95298 108912 123536 127064 184201 185304 190596 254128 368402 370608 378923 381192 552603 736804 757846 762384 1105206 1136769 1289407 1473608 1515692 2210412 2273538 2502707 2578814 2652461 2947216 3031384 3868221 4420824 4547076 5005414 5157628 5304922 6062768 7508121 7736442 7957383 8841648 9094152 10010828 10315256 10609844 15016242 15472884 15914766 17518949 18188304 20021656 20630512 21219688 30032484 30945768 31829532 35037898 40043312 42439376 52556847 60064968 61891536 63659064 70075796 105113694 120129936 127318128 140151592 210227388 280303184 417952069 420454776 835904138 840909552 1253856207 1671808276 2507712414 2925664483 3343616552 5015424828 5851328966 6687233104 8776993449 10030849656 11702657932 17553986898 20061699312 23405315864 35107973796 46810631728 70215947592 140431895184