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139705507984 = 247419072
BaseRepresentation
bin1000001000011100011…
…0001110000010010000
3111100121022120010122111
42002013012032002100
54242104102223414
6144102501515104
713044014140000
oct2020706160220
9440538503574
10139705507984
1154281131a09
12230ab112a94
1310235872273
146a94490000
153979e4e8c4
hex208718e090

139705507984 has 75 divisors (see below), whose sum is σ = 315939542867. Its totient is φ = 59842392288.

The previous prime is 139705507957. The next prime is 139705508009. The reversal of 139705507984 is 489705507931.

The square root of 139705507984 is 373772.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×1397055079842 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 73258359 + ... + 73260265.

Almost surely, 2139705507984 is an apocalyptic number.

139705507984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

139705507984 is the 373772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139705507984

139705507984 is an abundant number, since it is smaller than the sum of its proper divisors (176234034883).

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

139705507984 is an frugal number, since it uses more digits than its factorization.

139705507984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3850 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 139705507984 in words is "one hundred thirty-nine billion, seven hundred five million, five hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 1907 2401 2744 3814 4802 5488 7628 9604 13349 15256 19208 26698 30512 38416 53396 93443 106792 186886 213584 373772 654101 747544 1308202 1495088 2616404 3636649 4578707 5232808 7273298 9157414 10465616 14546596 18314828 25456543 29093192 36629656 50913086 58186384 73259312 101826172 178195801 203652344 356391602 407304688 712783204 1247370607 1425566408 2494741214 2851132816 4989482428 8731594249 9978964856 17463188498 19957929712 34926376996 69852753992 139705507984