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14189026272 = 2532947108439
BaseRepresentation
bin11010011011011101…
…10101101111100000
31100121212011012212120
431031232311233200
5213024342320042
610303544024240
71011421506351
oct151556655740
940555135776
1014189026272
1160213764a3
1228bba62080
131451823345
1498863dd28
15580a20dec
hex34dbb5be0

14189026272 has 96 divisors (see below), whose sum is σ = 39350707200. Its totient is φ = 4469380608.

The previous prime is 14189026259. The next prime is 14189026273. The reversal of 14189026272 is 27262098141.

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 (14189026273) 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, 76629 + ... + 185067.

It is an arithmetic number, because the mean of its divisors is an integer number (409903200).

Almost surely, 214189026272 is an apocalyptic number.

14189026272 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 14189026272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19675353600).

14189026272 is an abundant number, since it is smaller than the sum of its proper divisors (25161680928).

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

14189026272 is a wasteful number, since it uses less digits than its factorization.

14189026272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108528 (or 108520 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 14189026272 in words is "fourteen billion, one hundred eighty-nine million, twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 87 94 96 116 141 174 188 232 282 348 376 464 564 696 752 928 1128 1363 1392 1504 2256 2726 2784 4089 4512 5452 8178 10904 16356 21808 32712 43616 65424 108439 130848 216878 325317 433756 650634 867512 1301268 1735024 2602536 3144731 3470048 5096633 5205072 6289462 9434193 10193266 10410144 12578924 15289899 18868386 20386532 25157848 30579798 37736772 40773064 50315696 61159596 75473544 81546128 100631392 122319192 147802357 150947088 163092256 244638384 295604714 301894176 443407071 489276768 591209428 886814142 1182418856 1773628284 2364837712 3547256568 4729675424 7094513136 14189026272