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14017982784 = 2631313074297
BaseRepresentation
bin11010000111000100…
…10111000101000000
31100011221022022022120
431003202113011000
5212202100422114
610234554004240
71004243613321
oct150342270500
940157268276
1014017982784
115a43870a43
122872716680
131425267090
1496da38448
155709d65a9
hex343897140

14017982784 has 112 divisors (see below), whose sum is σ = 39982127808. Its totient is φ = 4308922368.

The previous prime is 14017982749. The next prime is 14017982801. The reversal of 14017982784 is 48728971041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3260124 + ... + 3264420.

It is an arithmetic number, because the mean of its divisors is an integer number (356983284).

Almost surely, 214017982784 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 14017982784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19991063904).

14017982784 is an abundant number, since it is smaller than the sum of its proper divisors (25964145024).

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

14017982784 is a wasteful number, since it uses less digits than its factorization.

14017982784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5622 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 14017982784 in words is "fourteen billion, seventeen million, nine hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1307 2496 2614 3921 4297 5228 7842 8594 10456 12891 15684 16991 17188 20912 25782 31368 33982 34376 41824 50973 51564 55861 62736 67964 68752 83648 101946 103128 111722 125472 135928 137504 167583 203892 206256 223444 250944 271856 275008 335166 407784 412512 446888 543712 670332 815568 825024 893776 1087424 1340664 1631136 1787552 2681328 3262272 3575104 5362656 5616179 10725312 11232358 16848537 22464716 33697074 44929432 67394148 73010327 89858864 134788296 146020654 179717728 219030981 269576592 292041308 359435456 438061962 539153184 584082616 876123924 1078306368 1168165232 1752247848 2336330464 3504495696 4672660928 7008991392 14017982784