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140615431264 = 25711208327397
BaseRepresentation
bin1000001011110101010…
…1010011010001100000
3111102221201202000201201
42002331111103101200
54300440022300024
6144333044410544
713105403305360
oct2027525232140
9442851660651
10140615431264
11546a8821820
12233039a6a54
131034c2315c9
146b3d2709a0
1539cec8b744
hex20bd553460

140615431264 has 96 divisors (see below), whose sum is σ = 345325268736. Its totient is φ = 54756933120.

The previous prime is 140615431261. The next prime is 140615431283. The reversal of 140615431264 is 462134516041.

140615431264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140615431261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5118814 + ... + 5146210.

It is an arithmetic number, because the mean of its divisors is an integer number (3597138216).

Almost surely, 2140615431264 is an apocalyptic number.

140615431264 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 140615431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172662634368).

140615431264 is an abundant number, since it is smaller than the sum of its proper divisors (204709837472).

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

140615431264 is a wasteful number, since it uses less digits than its factorization.

140615431264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29508 (or 29500 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 140615431264 in words is "one hundred forty billion, six hundred fifteen million, four hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2083 2464 4166 8332 14581 16664 22913 27397 29162 33328 45826 54794 58324 66656 91652 109588 116648 160391 183304 191779 219176 233296 301367 320782 366608 383558 438352 466592 602734 641564 733216 767116 876704 1205468 1283128 1534232 2109569 2410936 2566256 3068464 4219138 4821872 5132512 6136928 8438276 9643744 16876552 33753104 57067951 67506208 114135902 228271804 399475657 456543608 627747461 798951314 913087216 1255494922 1597902628 1826174432 2510989844 3195805256 4394232227 5021979688 6391610512 8788464454 10043959376 12783221024 17576928908 20087918752 35153857816 70307715632 140615431264