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14087514420 = 22325719158537
BaseRepresentation
bin11010001111010111…
…00110100100110100
31100100210010212210100
431013223212210310
5212322400430140
610245520154100
71006046616420
oct150753464464
940323125710
1014087514420
115a7a042101
122891a68930
1314367a0665
14978d77b80
15576b6d530
hex347ae6934

14087514420 has 144 divisors (see below), whose sum is σ = 49093244928. Its totient is φ = 3203089920.

The previous prime is 14087514373. The next prime is 14087514439. The reversal of 14087514420 is 2441578041.

It is a happy number.

14087514420 is a `hidden beast` number, since 1 + 40 + 87 + 514 + 4 + 20 = 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 47 ways as a sum of consecutive naturals, for example, 211392 + ... + 269928.

It is an arithmetic number, because the mean of its divisors is an integer number (340925312).

Almost surely, 214087514420 is an apocalyptic number.

14087514420 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 14087514420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24546622464).

14087514420 is an abundant number, since it is smaller than the sum of its proper divisors (35005730508).

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

14087514420 is a wasteful number, since it uses less digits than its factorization.

14087514420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58750 (or 58745 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 14087514420 in words is "fourteen billion, eighty-seven million, five hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 191 210 252 315 382 420 573 630 764 955 1146 1260 1337 1719 1910 2292 2674 2865 3438 3820 4011 5348 5730 6685 6876 8022 8595 11460 12033 13370 16044 17190 20055 24066 26740 34380 40110 48132 58537 60165 80220 117074 120330 175611 234148 240660 292685 351222 409759 526833 585370 702444 819518 878055 1053666 1170740 1229277 1639036 1756110 2048795 2107332 2458554 2634165 3512220 3687831 4097590 4917108 5268330 6146385 7375662 8195180 10536660 11180567 12292770 14751324 18439155 22361134 24585540 33541701 36878310 44722268 55902835 67083402 73756620 78263969 100625103 111805670 134166804 156527938 167708505 201250206 223611340 234791907 313055876 335417010 391319845 402500412 469583814 503125515 670834020 704375721 782639690 939167628 1006251030 1173959535 1408751442 1565279380 2012502060 2347919070 2817502884 3521878605 4695838140 7043757210 14087514420