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14434059888 = 2432836191951
BaseRepresentation
bin11010111000101011…
…00100011001110000
31101020221020012210200
431130111210121300
5214030104404023
610344135555200
71020455325153
oct153425443160
941227205720
1014434059888
116137717916
122969b2bb00
131490517351
149acdc5c9a
155972c3743
hex35c564670

14434059888 has 120 divisors (see below), whose sum is σ = 40969044480. Its totient is φ = 4743273600.

The previous prime is 14434059869. The next prime is 14434059889. The reversal of 14434059888 is 88895043441.

It is a happy number.

14434059888 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 40 + 598 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14434059889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7397313 + ... + 7399263.

It is an arithmetic number, because the mean of its divisors is an integer number (341408704).

Almost surely, 214434059888 is an apocalyptic number.

14434059888 is a gapful number since it is divisible by the number (18) 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 14434059888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20484522240).

14434059888 is an abundant number, since it is smaller than the sum of its proper divisors (26534984592).

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

14434059888 is a wasteful number, since it uses less digits than its factorization.

14434059888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 14434059888 in words is "fourteen billion, four hundred thirty-four million, fifty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 619 664 747 996 1238 1328 1494 1857 1951 1992 2476 2988 3714 3902 3984 4952 5571 5853 5976 7428 7804 9904 11142 11706 11952 14856 15608 17559 22284 23412 29712 31216 35118 44568 46824 51377 70236 89136 93648 102754 140472 154131 161933 205508 280944 308262 323866 411016 462393 485799 616524 647732 822032 924786 971598 1207669 1233048 1295464 1457397 1849572 1943196 2415338 2466096 2590928 2914794 3623007 3699144 3886392 4830676 5829588 7246014 7398288 7772784 9661352 10869021 11659176 14492028 19322704 21738042 23318352 28984056 43476084 57968112 86952168 100236527 173904336 200473054 300709581 400946108 601419162 801892216 902128743 1202838324 1603784432 1804257486 2405676648 3608514972 4811353296 7217029944 14434059888