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14055146840 = 2357433533307
BaseRepresentation
bin11010001011100000…
…01000010101011000
31100021112020102211002
431011300020111120
5212241104144330
610242402324132
71005204530330
oct150560102530
940245212732
1014055146840
115a62844939
122883059648
13142cb79b47
149749500c0
15573dc7e45
hex345c08558

14055146840 has 128 divisors (see below), whose sum is σ = 37098293760. Its totient is φ = 4692086784.

The previous prime is 14055146813. The next prime is 14055146857. The reversal of 14055146840 is 4864155041.

It is a junction number, because it is equal to n+sod(n) for n = 14055146794 and 14055146803.

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 31 ways as a sum of consecutive naturals, for example, 4248467 + ... + 4251773.

It is an arithmetic number, because the mean of its divisors is an integer number (289830420).

Almost surely, 214055146840 is an apocalyptic number.

14055146840 is a gapful number since it is divisible by the number (10) 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 14055146840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549146880).

14055146840 is an abundant number, since it is smaller than the sum of its proper divisors (23043146920).

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

14055146840 is a wasteful number, since it uses less digits than its factorization.

14055146840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3717 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 14055146840 in words is "fourteen billion, fifty-five million, one hundred forty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 353 430 602 706 860 1204 1412 1505 1720 1765 2408 2471 2824 3010 3307 3530 4942 6020 6614 7060 9884 12040 12355 13228 14120 15179 16535 19768 23149 24710 26456 30358 33070 46298 49420 60716 66140 75895 92596 98840 106253 115745 121432 132280 142201 151790 185192 212506 231490 284402 303580 425012 462980 531265 568804 607160 711005 850024 925960 995407 1062530 1137608 1167371 1422010 1990814 2125060 2334742 2844020 3981628 4250120 4669484 4977035 5688040 5836855 7963256 8171597 9338968 9954070 11673710 16343194 19908140 23347420 32686388 39816280 40857985 46694840 50196953 65372776 81715970 100393906 163431940 200787812 250984765 326863880 351378671 401575624 501969530 702757342 1003939060 1405514684 1756893355 2007878120 2811029368 3513786710 7027573420 14055146840