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14005759152 = 24371113128927
BaseRepresentation
bin11010000101100111…
…01110110010110000
31100011002022021122110
431002303232302300
5212140433243102
610233440005320
71004034663030
oct150263566260
940132267573
1014005759152
115a37982170
12286a600840
131422877368
1496c1758c0
1556e8be86c
hex342ceecb0

14005759152 has 160 divisors (see below), whose sum is σ = 45455376384. Its totient is φ = 3609964800.

The previous prime is 14005759151. The next prime is 14005759153. The reversal of 14005759152 is 25195750041.

14005759152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14005759151) and next prime (14005759153).

It is a super-2 number, since 2×140057591522 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14005759152.

It is not an unprimeable number, because it can be changed into a prime (14005759151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469713 + ... + 498639.

Almost surely, 214005759152 is an apocalyptic number.

14005759152 is a gapful number since it is divisible by the number (12) 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 14005759152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22727688192).

14005759152 is an abundant number, since it is smaller than the sum of its proper divisors (31449617232).

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

14005759152 is a wasteful number, since it uses less digits than its factorization.

14005759152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29087 (or 29081 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 14005759152 in words is "fourteen billion, five million, seven hundred fifty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 131 132 154 168 176 231 262 264 308 336 393 462 524 528 616 786 917 924 1048 1232 1441 1572 1834 1848 2096 2751 2882 3144 3668 3696 4323 5502 5764 6288 7336 8646 10087 11004 11528 14672 17292 20174 22008 23056 28927 30261 34584 40348 44016 57854 60522 69168 80696 86781 115708 121044 161392 173562 202489 231416 242088 318197 347124 404978 462832 484176 607467 636394 694248 809956 954591 1214934 1272788 1388496 1619912 1909182 2227379 2429868 2545576 3239824 3789437 3818364 4454758 4859736 5091152 6682137 7578874 7636728 8909516 9719472 11368311 13364274 15157748 15273456 17819032 22736622 26526059 26728548 30315496 35638064 41683807 45473244 53052118 53457096 60630992 79578177 83367614 90946488 106104236 106914192 125051421 159156354 166735228 181892976 212208472 250102842 291786649 318312708 333470456 424416944 500205684 583573298 636625416 666940912 875359947 1000411368 1167146596 1273250832 1750719894 2000822736 2334293192 3501439788 4668586384 7002879576 14005759152