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14530154112 = 273310141627
BaseRepresentation
bin11011000100001000…
…01000111010000000
31101111122001022022000
431202010020322000
5214224204412422
610401451344000
71023033162225
oct154204107200
941448038260
1014530154112
116186990931
122996152000
1314a73c1136
149bba7b94c
155a0955cac
hex362108e80

14530154112 has 128 divisors (see below), whose sum is σ = 43309771200. Its totient is φ = 4795315200.

The previous prime is 14530154101. The next prime is 14530154143. The reversal of 14530154112 is 21145103541.

14530154112 is a `hidden beast` number, since 1 + 4 + 530 + 15 + 4 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×145301541122 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328243 + ... + 369869.

Almost surely, 214530154112 is an apocalyptic number.

14530154112 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 14530154112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654885600).

14530154112 is an abundant number, since it is smaller than the sum of its proper divisors (28779617088).

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

14530154112 is a wasteful number, since it uses less digits than its factorization.

14530154112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41751 (or 41733 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 14530154112 its reverse (21145103541), we get a palindrome (35675257653).

The spelling of 14530154112 in words is "fourteen billion, five hundred thirty million, one hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 101 108 128 144 192 202 216 288 303 384 404 432 576 606 808 864 909 1152 1212 1616 1728 1818 2424 2727 3232 3456 3636 4848 5454 6464 7272 9696 10908 12928 14544 19392 21816 29088 38784 41627 43632 58176 83254 87264 116352 124881 166508 174528 249762 333016 349056 374643 499524 666032 749286 999048 1123929 1332064 1498572 1998096 2247858 2664128 2997144 3996192 4204327 4495716 5328256 5994288 7992384 8408654 8991432 11988576 12612981 15984768 16817308 17982864 23977152 25225962 33634616 35965728 37838943 47954304 50451924 67269232 71931456 75677886 100903848 113516829 134538464 143862912 151355772 201807696 227033658 269076928 302711544 403615392 454067316 538153856 605423088 807230784 908134632 1210846176 1614461568 1816269264 2421692352 3632538528 4843384704 7265077056 14530154112