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14005101330 = 23251117832151
BaseRepresentation
bin11010000101100010…
…01110001100010010
31100011001001212021200
431002301032030102
5212140301220310
610233413532030
71004026253133
oct150261161422
940131055250
1014005101330
115a37572a10
12286a344016
1314226a6b0c
1496c043c8a
1556e7de9c0
hex342c4e312

14005101330 has 96 divisors (see below), whose sum is σ = 42060290688. Its totient is φ = 3195456000.

The previous prime is 14005101311. The next prime is 14005101349. The reversal of 14005101330 is 3310150041.

14005101330 is a `hidden beast` number, since 140 + 0 + 510 + 13 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14005101311) and next prime (14005101349).

It is a super-2 number, since 2×140051013302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 399246 + ... + 432905.

It is an arithmetic number, because the mean of its divisors is an integer number (438128028).

Almost surely, 214005101330 is an apocalyptic number.

14005101330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14005101330 is an abundant number, since it is smaller than the sum of its proper divisors (28055189358).

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

14005101330 is a wasteful number, since it uses less digits than its factorization.

14005101330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832192 (or 832189 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 14005101330 its reverse (3310150041), we get a palindrome (17315251371).

The spelling of 14005101330 in words is "fourteen billion, five million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 17 18 22 30 33 34 45 51 55 66 85 90 99 102 110 153 165 170 187 198 255 306 330 374 495 510 561 765 935 990 1122 1530 1683 1870 2805 3366 5610 8415 16830 832151 1664302 2496453 4160755 4992906 7489359 8321510 9153661 12482265 14146567 14978718 18307322 24964530 27460983 28293134 37446795 42439701 45768305 54921966 70732835 74893590 82382949 84879402 91536610 127319103 137304915 141465670 155612237 164765898 212198505 254638206 274609830 311224474 411914745 424397010 466836711 636595515 778061185 823829490 933673422 1273191030 1400510133 1556122370 2334183555 2801020266 4668367110 7002550665 14005101330