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140668007472 = 243218126320521
BaseRepresentation
bin1000001100000001110…
…1110111010000110000
3111110002101200011201200
42003000131313100300
54301042002214342
6144342203331200
713106612222646
oct2030035672060
9443071604650
10140668007472
1154725472033
1223319520b00
131035a0ac4a5
146b46239196
1539d46c494c
hex20c0777430

140668007472 has 120 divisors (see below), whose sum is σ = 397374545568. Its totient is φ = 46450713600.

The previous prime is 140668007461. The next prime is 140668007477. The reversal of 140668007472 is 274700866041.

140668007472 is a `hidden beast` number, since 1 + 40 + 66 + 80 + 0 + 7 + 472 = 666.

It is a super-2 number, since 2×1406680074722 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (140668007477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6844572 + ... + 6865092.

Almost surely, 2140668007472 is an apocalyptic number.

140668007472 is a gapful number since it is divisible by the number (12) 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 140668007472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198687272784).

140668007472 is an abundant number, since it is smaller than the sum of its proper divisors (256706538096).

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

140668007472 is a wasteful number, since it uses less digits than its factorization.

140668007472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20979 (or 20970 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 140668007472 in words is "one hundred forty billion, six hundred sixty-eight million, seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 181 263 362 526 543 724 789 1052 1086 1448 1578 1629 2104 2172 2367 2896 3156 3258 4208 4344 4734 6312 6516 8688 9468 12624 13032 18936 20521 26064 37872 41042 47603 61563 82084 95206 123126 142809 164168 184689 190412 246252 285618 328336 369378 380824 428427 492504 571236 738756 761648 856854 985008 1142472 1477512 1713708 2284944 2955024 3427416 3714301 5397023 6854832 7428602 10794046 11142903 14857204 16191069 21588092 22285806 29714408 32382138 33428709 43176184 44571612 48573207 59428816 64764276 66857418 86352368 89143224 97146414 129528552 133714836 178286448 194292828 259057104 267429672 388585656 534859344 777171312 976861163 1953722326 2930583489 3907444652 5861166978 7814889304 8791750467 11722333956 15629778608 17583500934 23444667912 35167001868 46889335824 70334003736 140668007472