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14463946992 = 24311219131071
BaseRepresentation
bin11010111100001111…
…00101000011110000
31101100000110122012110
431132013211003300
5214110232300432
610351124325320
71021300343445
oct153607450360
941300418173
1014463946992
116152580500
122977b43840
13149677cb21
149b2d659cc
15599c28dcc
hex35e1e50f0

14463946992 has 120 divisors (see below), whose sum is σ = 43232788480. Its totient is φ = 4152297600.

The previous prime is 14463946951. The next prime is 14463946999. The reversal of 14463946992 is 29964936441.

14463946992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14463946999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44817 + ... + 175887.

Almost surely, 214463946992 is an apocalyptic number.

14463946992 is a gapful number since it is divisible by the number (12) 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 14463946992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21616394240).

14463946992 is an abundant number, since it is smaller than the sum of its proper divisors (28768841488).

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

14463946992 is a wasteful number, since it uses less digits than its factorization.

14463946992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131123 (or 131106 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 57.

The spelling of 14463946992 in words is "fourteen billion, four hundred sixty-three million, nine hundred forty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1452 1672 1936 2299 2508 2904 3344 4598 5016 5808 6897 9196 10032 13794 18392 27588 36784 55176 110352 131071 262142 393213 524284 786426 1048568 1441781 1572852 2097136 2490349 2883562 3145704 4325343 4980698 5767124 6291408 7471047 8650686 9961396 11534248 14942094 15859591 17301372 19922792 23068496 27393839 29884188 31719182 34602744 39845584 47578773 54787678 59768376 63438364 69205488 82181517 95157546 109575356 119536752 126876728 164363034 190315092 219150712 253753456 301332229 328726068 380630184 438301424 602664458 657452136 761260368 903996687 1205328916 1314904272 1807993374 2410657832 3615986748 4821315664 7231973496 14463946992