Search a number
-
+
126978631344 = 243617362927
BaseRepresentation
bin111011001000010000…
…1000010011010110000
3110010202100200211000000
41312100201002122300
54040023012200334
6134155544430000
712113435362245
oct1662041023260
9403670624000
10126978631344
1149940144144
1220738a78300
13bc87c4ac26
1462080dd5cc
15348299d299
hex1d908426b0

126978631344 has 140 divisors (see below), whose sum is σ = 371000959776. Its totient is φ = 42080881536.

The previous prime is 126978631291. The next prime is 126978631453. The reversal of 126978631344 is 443136879621.

126978631344 is a `hidden beast` number, since 1 + 269 + 7 + 8 + 6 + 31 + 344 = 666.

It is a super-2 number, since 2×1269786313442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1986409 + ... + 2049335.

Almost surely, 2126978631344 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 126978631344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185500479888).

126978631344 is an abundant number, since it is smaller than the sum of its proper divisors (244022328432).

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

126978631344 is an equidigital number, since it uses as much as digits as its factorization.

126978631344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63126 (or 63105 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 126978631344 in words is "one hundred twenty-six billion, nine hundred seventy-eight million, six hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 173 216 243 324 346 432 486 519 648 692 729 972 1038 1296 1384 1458 1557 1944 2076 2768 2916 3114 3888 4152 4671 5832 6228 8304 9342 11664 12456 14013 18684 24912 28026 37368 42039 56052 62927 74736 84078 112104 125854 126117 168156 188781 224208 251708 252234 336312 377562 503416 504468 566343 672624 755124 1006832 1008936 1132686 1510248 1699029 2017872 2265372 3020496 3398058 4530744 5097087 6796116 9061488 10194174 10886371 13592232 15291261 20388348 21772742 27184464 30582522 32659113 40776696 43545484 45873783 61165044 65318226 81553392 87090968 91747566 97977339 122330088 130636452 174181936 183495132 195954678 244660176 261272904 293932017 366990264 391909356 522545808 587864034 733980528 783818712 881796051 1175728068 1567637424 1763592102 2351456136 2645388153 3527184204 4702912272 5290776306 7054368408 7936164459 10581552612 14108736816 15872328918 21163105224 31744657836 42326210448 63489315672 126978631344