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140546451240 = 233351310010431
BaseRepresentation
bin1000001011100100111…
…0001010011100101000
3111102202220221110221000
42002321032022130220
54300314342414430
6144322142115000
713103605060416
oct2027116123450
9442686843830
10140546451240
1154672898038
12232a487ba60
131033ab5c120
146b340362b6
1539c8bb2e60
hex20b938a728

140546451240 has 128 divisors (see below), whose sum is σ = 504525772800. Its totient is φ = 34596046080.

The previous prime is 140546451181. The next prime is 140546451281. The reversal of 140546451240 is 42154645041.

140546451240 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 4 + 645 + 1 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140546451195 and 140546451204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4991176 + ... + 5019255.

It is an arithmetic number, because the mean of its divisors is an integer number (3941607600).

Almost surely, 2140546451240 is an apocalyptic number.

140546451240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140546451240 is an abundant number, since it is smaller than the sum of its proper divisors (363979321560).

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

140546451240 is a wasteful number, since it uses less digits than its factorization.

140546451240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010464 (or 10010454 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 140546451240 in words is "one hundred forty billion, five hundred forty-six million, four hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 14040 10010431 20020862 30031293 40041724 50052155 60062586 80083448 90093879 100104310 120125172 130135603 150156465 180187758 200208620 240250344 260271206 270281637 300312930 360375516 390406809 400417240 450469395 520542412 540563274 600625860 650678015 720751032 780813618 900938790 1041084824 1081126548 1171220427 1201251720 1301356030 1351408185 1561627236 1801877580 1952034045 2162253096 2342440854 2602712060 2702816370 3123254472 3513661281 3603755160 3904068090 4684881708 5205424120 5405632740 5856102135 7027322562 7808136180 9369763416 10811265480 11712204270 14054645124 15616272360 17568306405 23424408540 28109290248 35136612810 46848817080 70273225620 140546451240