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14155424064 = 2632127193507
BaseRepresentation
bin11010010111011101…
…01010000101000000
31100112111221001022100
431023232222011000
5212442242032224
610300343510400
71010533055625
oct151356520500
940474831270
1014155424064
116004405681
1228b0758400
131447889892
14983db434c
1557cad4ac9
hex34bbaa140

14155424064 has 84 divisors (see below), whose sum is σ = 40893658624. Its totient is φ = 4681297152.

The previous prime is 14155424053. The next prime is 14155424071. The reversal of 14155424064 is 46042455141.

14155424064 is a `hidden beast` number, since 1 + 4 + 1 + 554 + 2 + 40 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 23602 + ... + 169905.

Almost surely, 214155424064 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 14155424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20446829312).

14155424064 is an abundant number, since it is smaller than the sum of its proper divisors (26738234560).

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

14155424064 is a wasteful number, since it uses less digits than its factorization.

14155424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193652 (or 193639 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 14155424064 in words is "fourteen billion, one hundred fifty-five million, four hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 18288 24384 36576 73152 193507 387014 580521 774028 1161042 1548056 1741563 2322084 3096112 3483126 4644168 6192224 6966252 9288336 12384448 13932504 18576672 24575389 27865008 37153344 49150778 55730016 73726167 98301556 111460032 147452334 196603112 221178501 294904668 393206224 442357002 589809336 786412448 884714004 1179618672 1572824896 1769428008 2359237344 3538856016 4718474688 7077712032 14155424064