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14448054972 = 22313712515197
BaseRepresentation
bin11010111010010101…
…11101001010111100
31101021220120020110010
431131022331022330
5214042200224342
610345355543220
71021015304151
oct153512751274
941256506403
1014448054972
1161446065aa
12297275ab10
1314933a7470
149b0bca228
1559863a29c
hex35d2bd2bc

14448054972 has 96 divisors (see below), whose sum is σ = 36970504704. Its totient is φ = 4364640000.

The previous prime is 14448054941. The next prime is 14448055009. The reversal of 14448054972 is 27945084441.

It is a congruent 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, 2777478 + ... + 2782674.

It is an arithmetic number, because the mean of its divisors is an integer number (385109424).

Almost surely, 214448054972 is an apocalyptic number.

14448054972 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 14448054972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18485252352).

14448054972 is an abundant number, since it is smaller than the sum of its proper divisors (22522449732).

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

14448054972 is a wasteful number, since it uses less digits than its factorization.

14448054972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5537 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 14448054972 in words is "fourteen billion, four hundred forty-eight million, fifty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 251 284 426 502 753 852 923 1004 1506 1846 2769 3012 3263 3692 5197 5538 6526 9789 10394 11076 13052 15591 17821 19578 20788 31182 35642 39156 53463 62364 67561 71284 106926 135122 202683 213852 231673 270244 368987 405366 463346 695019 737974 810732 926692 1106961 1304447 1390038 1475948 2213922 2608894 2780076 3913341 4427844 4796831 5217788 7826682 9593662 14390493 15653364 16957811 19187324 28780986 33915622 50873433 57561972 67831244 92615737 101746866 185231474 203493732 277847211 370462948 555694422 1111388844 1204004581 2408009162 3612013743 4816018324 7224027486 14448054972