Search a number
-
+
14012233000344 = 233216091094911047
BaseRepresentation
bin1100101111100111101000…
…1010111010010110011000
31211121120000121110202111100
43023321322022322112120
53314034023122002334
645445044142431400
72644231124214435
oct313717212722630
954546017422440
1014012233000344
114512611259927
1216a37b8592560
137a846a4585a7
143662a4dbcb8c
15194754d45c99
hexcbe7a2ba598

14012233000344 has 96 divisors (see below), whose sum is σ = 37980289620000. Its totient is φ = 4666992615936.

The previous prime is 14012233000343. The next prime is 14012233000369. The reversal of 14012233000344 is 44300033221041.

14012233000344 is a `hidden beast` number, since 1 + 4 + 0 + 12 + 2 + 3 + 300 + 0 + 344 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14012233000343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1268414229 + ... + 1268425275.

It is an arithmetic number, because the mean of its divisors is an integer number (395628016875).

Almost surely, 214012233000344 is an apocalyptic number.

It is an amenable number.

14012233000344 is an abundant number, since it is smaller than the sum of its proper divisors (23968056619656).

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

14012233000344 is a wasteful number, since it uses less digits than its factorization.

14012233000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23617 (or 23610 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14012233000344 its reverse (44300033221041), we get a palindrome (58312266221385).

The spelling of 14012233000344 in words is "fourteen trillion, twelve billion, two hundred thirty-three million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1609 3218 4827 6436 9654 10949 11047 12872 14481 19308 21898 22094 28962 32847 33141 38616 43796 44188 57924 65694 66282 87592 88376 98541 99423 115848 131388 132564 197082 198846 262776 265128 394164 397692 788328 795384 17616941 17774623 35233882 35549246 52850823 53323869 70467764 71098492 105701646 106647738 120953603 140935528 142196984 158552469 159971607 211403292 213295476 241907206 317104938 319943214 362860809 422806584 426590952 483814412 634209876 639886428 725721618 967628824 1088582427 1268419752 1279772856 1451443236 2177164854 2902886472 4354329708 8708659416 194614347227 389228694454 583843041681 778457388908 1167686083362 1556914777816 1751529125043 2335372166724 3503058250086 4670744333448 7006116500172 14012233000344