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14155353320 = 2354116575209
BaseRepresentation
bin11010010111011100…
…11000110011101000
31100112111210110021012
431023232120303220
5212442232301240
610300342203052
71010532342443
oct151356306350
940474713235
1014155353320
116004367509
1228b0723488
131447863614
14983d9665a
1557cabdb65
hex34bb98ce8

14155353320 has 64 divisors (see below), whose sum is σ = 32652320400. Its totient is φ = 5519646720.

The previous prime is 14155353271. The next prime is 14155353347. The reversal of 14155353320 is 2335355141.

It can be written as a sum of positive squares in 8 ways, for example, as 5360289796 + 8795063524 = 73214^2 + 93782^2 .

It is a super-2 number, since 2×141553533202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2714876 + ... + 2720084.

Almost surely, 214155353320 is an apocalyptic number.

14155353320 is a gapful number since it is divisible by the number (10) 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 14155353320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16326160200).

14155353320 is an abundant number, since it is smaller than the sum of its proper divisors (18496967080).

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

14155353320 is a wasteful number, since it uses less digits than its factorization.

14155353320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6918 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 14155353320 in words is "fourteen billion, one hundred fifty-five million, three hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 1657 3314 5209 6628 8285 10418 13256 16570 20836 26045 33140 41672 52090 66280 67937 104180 135874 208360 213569 271748 339685 427138 543496 679370 854276 1067845 1358740 1708552 2135690 2717480 4271380 8542760 8631313 17262626 34525252 43156565 69050504 86313130 172626260 345252520 353883833 707767666 1415535332 1769419165 2831070664 3538838330 7077676660 14155353320