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14010551424 = 273337109567
BaseRepresentation
bin11010000110001100…
…00000110010000000
31100011102022202102000
431003012000302000
5212143200121144
610234130424000
71004123502462
oct150306006200
940142282360
1014010551424
115a3a655721
122870132000
13142386471c
1496ca62132
15570019769
hex343180c80

14010551424 has 128 divisors (see below), whose sum is σ = 42468556800. Its totient is φ = 4543921152.

The previous prime is 14010551383. The next prime is 14010551441. The reversal of 14010551424 is 42415501041.

14010551424 is a `hidden beast` number, since 1 + 40 + 105 + 514 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73089 + ... + 182655.

It is an arithmetic number, because the mean of its divisors is an integer number (331785600).

Almost surely, 214010551424 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 14010551424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234278400).

14010551424 is an abundant number, since it is smaller than the sum of its proper divisors (28458005376).

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

14010551424 is a wasteful number, since it uses less digits than its factorization.

14010551424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109627 (or 109609 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 14010551424 in words is "fourteen billion, ten million, five hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 3456 3552 3996 4736 5328 7104 7992 10656 14208 15984 21312 31968 42624 63936 109567 127872 219134 328701 438268 657402 876536 986103 1314804 1753072 1972206 2629608 2958309 3506144 3944412 4053979 5259216 5916618 7012288 7888824 8107958 10518432 11833236 12161937 14024576 15777648 16215916 21036864 23666472 24323874 31555296 32431832 36485811 42073728 47332944 48647748 63110592 64863664 72971622 94665888 97295496 109457433 126221184 129727328 145943244 189331776 194590992 218914866 259454656 291886488 378663552 389181984 437829732 518909312 583772976 778363968 875659464 1167545952 1556727936 1751318928 2335091904 3502637856 4670183808 7005275712 14010551424