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14004911520 = 253259725633
BaseRepresentation
bin11010000101100000…
…11111110110100000
31100011000201012220200
431002300133312200
5212140224132040
610233405505200
71004024532555
oct150260376640
940130635820
1014004911520
115a37453346
12286a272200
13142263b5c2
1496bdd4a2c
1556e7a3630
hex342c1fda0

14004911520 has 72 divisors (see below), whose sum is σ = 47791765476. Its totient is φ = 3734642688.

The previous prime is 14004911441. The next prime is 14004911539. The reversal of 14004911520 is 2511940041.

14004911520 is a `hidden beast` number, since 140 + 0 + 491 + 15 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12409068816 + 1595842704 = 111396^2 + 39948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×140049115202 (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 11 ways as a sum of consecutive naturals, for example, 4861377 + ... + 4864256.

Almost surely, 214004911520 is an apocalyptic number.

14004911520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14004911520 is an abundant number, since it is smaller than the sum of its proper divisors (33786853956).

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

14004911520 is a wasteful number, since it uses less digits than its factorization.

14004911520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9725654 (or 9725643 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 14004911520 in words is "fourteen billion, four million, nine hundred eleven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9725633 19451266 29176899 38902532 48628165 58353798 77805064 87530697 97256330 116707596 145884495 155610128 175061394 194512660 233415192 291768990 311220256 350122788 389025320 437653485 466830384 583537980 700245576 778050640 875306970 933660768 1167075960 1400491152 1556101280 1750613940 2334151920 2800982304 3501227880 4668303840 7002455760 14004911520