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14718464040 = 2335728576133
BaseRepresentation
bin11011011010100100…
…11111000000101000
31101222202101102221210
431231102133000220
5220120411322130
610432255433120
71030510610610
oct155522370050
941882342853
1014718464040
116273209975
122a292257a0
131507414527
149d8a99a40
155b22515b0
hex36d49f028

14718464040 has 128 divisors (see below), whose sum is σ = 50489199360. Its totient is φ = 3362494464.

The previous prime is 14718464039. The next prime is 14718464041. The reversal of 14718464040 is 4046481741.

It is an interprime number because it is at equal distance from previous prime (14718464039) and next prime (14718464041).

It is a self number, because there is not a number n which added to its sum of digits gives 14718464040.

It is not an unprimeable number, because it can be changed into a prime (14718464041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2396814 + ... + 2402946.

It is an arithmetic number, because the mean of its divisors is an integer number (394446870).

Almost surely, 214718464040 is an apocalyptic number.

14718464040 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 14718464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25244599680).

14718464040 is an abundant number, since it is smaller than the sum of its proper divisors (35770735320).

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

14718464040 is a wasteful number, since it uses less digits than its factorization.

14718464040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9011 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 14718464040 in words is "fourteen billion, seven hundred eighteen million, four hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2857 5714 6133 8571 11428 12266 14285 17142 18399 19999 22856 24532 28570 30665 34284 36798 39998 42855 42931 49064 57140 59997 61330 68568 73596 79996 85710 85862 91995 99995 114280 119994 122660 128793 147192 159992 171420 171724 183990 199990 214655 239988 245320 257586 299985 342840 343448 367980 399980 429310 479976 515172 599970 643965 735960 799960 858620 1030344 1199940 1287930 1717240 2399880 2575860 5151720 17521981 35043962 52565943 70087924 87609905 105131886 122653867 140175848 175219810 210263772 245307734 262829715 350439620 367961601 420527544 490615468 525659430 613269335 700879240 735923202 981230936 1051318860 1226538670 1471846404 1839808005 2102637720 2453077340 2943692808 3679616010 4906154680 7359232020 14718464040