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14152027264 = 271723992711
BaseRepresentation
bin11010010111000011…
…01100110010000000
31100112021112110202221
431023201230302000
5212440404333024
610300143020424
71010462150464
oct151341546200
940467473687
1014152027264
1160024a5601
1228ab59a714
131446c6a73b
1498376c4a4
1557c6633e4
hex34b86cc80

14152027264 has 64 divisors (see below), whose sum is σ = 29875392000. Its totient is φ = 6654545920.

The previous prime is 14152027237. The next prime is 14152027283. The reversal of 14152027264 is 46272025141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5218869 + ... + 5221579.

It is an arithmetic number, because the mean of its divisors is an integer number (466803000).

Almost surely, 214152027264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14152027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937696000).

14152027264 is an abundant number, since it is smaller than the sum of its proper divisors (15723364736).

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

14152027264 is a wasteful number, since it uses less digits than its factorization.

14152027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 14152027264 in words is "fourteen billion, one hundred fifty-two million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2399 2711 4798 5422 9596 10844 19192 21688 38384 40783 43376 46087 76768 81566 86752 92174 153536 163132 173504 184348 307072 326264 347008 368696 652528 737392 1305056 1474784 2610112 2949568 5220224 5899136 6503689 13007378 26014756 52029512 104059024 110562713 208118048 221125426 416236096 442250852 832472192 884501704 1769003408 3538006816 7076013632 14152027264