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14389474272 = 253299715323
BaseRepresentation
bin11010110011010110…
…11111001111100000
31101010211100000211120
431121223133033200
5213432201134042
610335504212240
71016404341015
oct153153371740
941124300746
1014389474272
116114534aa8
12295700a080
131484206524
149a70db70c
15593417dec
hex359adf3e0

14389474272 has 96 divisors (see below), whose sum is σ = 39122455680. Its totient is φ = 4625456640.

The previous prime is 14389474241. The next prime is 14389474273. The reversal of 14389474272 is 27247498341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14389474273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2700603 + ... + 2705925.

It is an arithmetic number, because the mean of its divisors is an integer number (407525580).

Almost surely, 214389474272 is an apocalyptic number.

14389474272 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 14389474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561227840).

14389474272 is an abundant number, since it is smaller than the sum of its proper divisors (24732981408).

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

14389474272 is a wasteful number, since it uses less digits than its factorization.

14389474272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 6328 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The spelling of 14389474272 in words is "fourteen billion, three hundred eighty-nine million, four hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 971 1392 1942 2784 2913 3884 5323 5826 7768 10646 11652 15536 15969 21292 23304 28159 31072 31938 42584 46608 56318 63876 84477 85168 93216 112636 127752 154367 168954 170336 225272 255504 308734 337908 450544 463101 511008 617468 675816 901088 926202 1234936 1351632 1852404 2469872 2703264 3704808 4939744 5168633 7409616 10337266 14819232 15505899 20674532 31011798 41349064 62023596 82698128 124047192 149890357 165396256 248094384 299780714 449671071 496188768 599561428 899342142 1199122856 1798684284 2398245712 3597368568 4796491424 7194737136 14389474272