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14005352988 = 22321180943717
BaseRepresentation
bin11010000101100100…
…01011101000011100
31100011001112122111100
431002302023220130
5212140332243423
610233423153100
71004031351624
oct150262135034
940131478440
1014005352988
115a37724aa0
12286a445790
131422764523
1496c0ab884
1556e83e343
hex342c8ba1c

14005352988 has 72 divisors (see below), whose sum is σ = 38669445360. Its totient is φ = 4238703360.

The previous prime is 14005352983. The next prime is 14005353067. The reversal of 14005352988 is 88925350041.

14005352988 is a `hidden beast` number, since 1 + 40 + 0 + 5 + 3 + 529 + 88 = 666.

It is a super-2 number, since 2×140053529882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005352983) 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, 298506 + ... + 342222.

It is an arithmetic number, because the mean of its divisors is an integer number (537075630).

Almost surely, 214005352988 is an apocalyptic number.

14005352988 is a gapful number since it is divisible by the number (18) 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 14005352988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334722680).

14005352988 is an abundant number, since it is smaller than the sum of its proper divisors (24664092372).

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

14005352988 is a wasteful number, since it uses less digits than its factorization.

14005352988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44547 (or 44542 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 14005352988 in words is "fourteen billion, five million, three hundred fifty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 809 1618 2427 3236 4854 7281 8899 9708 14562 17798 26697 29124 35596 43717 53394 80091 87434 106788 131151 160182 174868 262302 320364 393453 480887 524604 786906 961774 1442661 1573812 1923548 2885322 4327983 5770644 8655966 17311932 35367053 70734106 106101159 141468212 212202318 318303477 389037583 424404636 636606954 778075166 1167112749 1273213908 1556150332 2334225498 3501338247 4668450996 7002676494 14005352988