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15140139264 = 28327390017
BaseRepresentation
bin11100001100110110…
…00011000100000000
31110002010211202121200
432012123003010000
5222001333424024
610542201421200
71044121026465
oct160633030400
943063752550
1015140139264
11646a239798
122b2649a800
1315738a48b3
14a38aa366c
155d92972c9
hex3866c3100

15140139264 has 108 divisors (see below), whose sum is σ = 44251228476. Its totient is φ = 4977524736.

The previous prime is 15140139253. The next prime is 15140139271. The reversal of 15140139264 is 46293104151.

It is a happy number.

15140139264 is a `hidden beast` number, since 1 + 514 + 0 + 139 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11365265664 + 3774873600 = 106608^2 + 61440^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123184 + ... + 213200.

It is an arithmetic number, because the mean of its divisors is an integer number (409733597).

Almost surely, 215140139264 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 15140139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22125614238).

15140139264 is an abundant number, since it is smaller than the sum of its proper divisors (29111089212).

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

15140139264 is an equidigital number, since it uses as much as digits as its factorization.

15140139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90112 (or 90095 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 15140139264 in words is "fifteen billion, one hundred forty million, one hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 576 584 657 768 876 1152 1168 1314 1752 2304 2336 2628 3504 4672 5256 7008 9344 10512 14016 18688 21024 28032 42048 56064 84096 90017 168192 180034 270051 360068 540102 720136 810153 1080204 1440272 1620306 2160408 2880544 3240612 4320816 5761088 6481224 6571241 8641632 11522176 12962448 13142482 17283264 19713723 23044352 25924896 26284964 34566528 39427446 51849792 52569928 59141169 69133056 78854892 103699584 105139856 118282338 157709784 207399168 210279712 236564676 315419568 420559424 473129352 630839136 841118848 946258704 1261678272 1682237696 1892517408 2523356544 3785034816 5046713088 7570069632 15140139264