Search a number
-
+
14396059536 = 24319236111251
BaseRepresentation
bin11010110100001001…
…00110111110010000
31101011021201121010020
431122010212332100
5213440342401121
610340301303440
71016514326025
oct153204467620
941137647106
1014396059536
116118222671
122959264b80
1314856a0a31
149a7d3354c
15593cb91c6
hex35a126f90

14396059536 has 160 divisors (see below), whose sum is σ = 41522580480. Its totient is φ = 4276800000.

The previous prime is 14396059499. The next prime is 14396059553. The reversal of 14396059536 is 63595069341.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273911 + ... + 1285161.

It is an arithmetic number, because the mean of its divisors is an integer number (259516128).

Almost surely, 214396059536 is an apocalyptic number.

14396059536 is a gapful number since it is divisible by the number (16) 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 14396059536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20761290240).

14396059536 is an abundant number, since it is smaller than the sum of its proper divisors (27126520944).

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

14396059536 is a wasteful number, since it uses less digits than its factorization.

14396059536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11365 (or 11359 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 51.

The spelling of 14396059536 in words is "fourteen billion, three hundred ninety-six million, fifty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 38 46 48 57 61 69 76 92 114 122 138 152 183 184 228 244 276 304 366 368 437 456 488 552 732 874 912 976 1104 1159 1311 1403 1464 1748 2318 2622 2806 2928 3477 3496 4209 4636 5244 5612 6954 6992 8418 9272 10488 11224 11251 13908 16836 18544 20976 22448 22502 26657 27816 33672 33753 45004 53314 55632 67344 67506 79971 90008 106628 135012 159942 180016 213256 213769 258773 270024 319884 426512 427538 517546 540048 639768 641307 686311 776319 855076 1035092 1279536 1282614 1372622 1552638 1710152 2058933 2070184 2565228 2745244 3105276 3420304 4117866 4140368 4916687 5130456 5490488 6210552 8235732 9833374 10260912 10980976 12421104 13039909 14750061 15785153 16471464 19666748 26079818 29500122 31570306 32942928 39119727 39333496 47355459 52159636 59000244 63140612 78239454 78666992 94710918 104319272 118000488 126281224 156478908 189421836 208638544 236000976 252562448 299917907 312957816 378843672 599835814 625915632 757687344 899753721 1199671628 1799507442 2399343256 3599014884 4798686512 7198029768 14396059536