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140445864 = 233213181829
BaseRepresentation
bin10000101111100…
…00100010101000
3100210021101111200
420113300202220
5241423231424
621534124200
73323525106
oct1027604250
9323241450
10140445864
1172307069
123b050660
1323135280
141491cc76
15c4e38c9
hex85f08a8

140445864 has 96 divisors (see below), whose sum is σ = 412393800. Its totient is φ = 42923520.

The previous prime is 140445863. The next prime is 140445931. The reversal of 140445864 is 468544041.

It is a happy number.

140445864 is a `hidden beast` number, since 140 + 4 + 458 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 55621764 + 84824100 = 7458^2 + 9210^2 .

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

It is not an unprimeable number, because it can be changed into a prime (140445863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169002 + ... + 169830.

Almost surely, 2140445864 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 140445864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206196900).

140445864 is an abundant number, since it is smaller than the sum of its proper divisors (271947936).

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

140445864 is a wasteful number, since it uses less digits than its factorization.

140445864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 140445864 is about 11850.9857817820. The cubic root of 140445864 is about 519.8000513314.

The spelling of 140445864 in words is "one hundred forty million, four hundred forty-five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 181 234 312 362 468 543 724 829 936 1086 1448 1629 1658 2172 2353 2487 3258 3316 4344 4706 4974 6516 6632 7059 7461 9412 9948 10777 13032 14118 14922 18824 19896 21177 21554 28236 29844 32331 42354 43108 56472 59688 64662 84708 86216 96993 129324 150049 169416 193986 258648 300098 387972 450147 600196 775944 900294 1200392 1350441 1800588 1950637 2700882 3601176 3901274 5401764 5851911 7802548 10803528 11703822 15605096 17555733 23407644 35111466 46815288 70222932 140445864