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140704144 = 24759107199
BaseRepresentation
bin10000110001011…
…11100110010000
3100210202111210121
420120233212100
5242010013034
621543440024
73325652110
oct1030574620
9323674717
10140704144
1172473119
123b156014
13231c59b9
1414989040
15c5451b4
hex862f990

140704144 has 80 divisors (see below), whose sum is σ = 321408000. Its totient is φ = 58430592.

The previous prime is 140704117. The next prime is 140704153. The reversal of 140704144 is 441407041.

It is a super-2 number, since 2×1407041442 = 39595312277545472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 706957 + ... + 707155.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2140704144 is an apocalyptic number.

140704144 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 140704144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160704000).

140704144 is an abundant number, since it is smaller than the sum of its proper divisors (180703856).

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

140704144 is a wasteful number, since it uses less digits than its factorization.

140704144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 140704144 is about 11861.8777602874. The cubic root of 140704144 is about 520.1184937065.

The spelling of 140704144 in words is "one hundred forty million, seven hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 59 107 112 118 199 214 236 398 413 428 472 749 796 826 856 944 1393 1498 1592 1652 1712 2786 2996 3184 3304 5572 5992 6313 6608 11144 11741 11984 12626 21293 22288 23482 25252 42586 44191 46964 50504 82187 85172 88382 93928 101008 149051 164374 170344 176764 187856 298102 328748 340688 353528 596204 657496 707056 1192408 1256287 1314992 2384816 2512574 5025148 8794009 10050296 17588018 20100592 35176036 70352072 140704144