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3430525133505 = 3519219721115241
BaseRepresentation
bin110001111010111011001…
…110110110001011000001
3110010221210012021002120010
4301322323032312023001
5422201203413233010
611143543403135133
7502563416340321
oct61727316661301
913127705232503
103430525133505
111102972005738
12474a37b144a9
131bb660278302
14bc07715d281
155e380de6620
hex31ebb3b62c1

3430525133505 has 96 divisors (see below), whose sum is σ = 5850314667648. Its totient is φ = 1716233702400.

The previous prime is 3430525133447. The next prime is 3430525133531. The reversal of 3430525133505 is 5053315250343.

It is not a de Polignac number, because 3430525133505 - 222 = 3430520939201 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225077685 + ... + 225092925.

It is an arithmetic number, because the mean of its divisors is an integer number (60940777788).

Almost surely, 23430525133505 is an apocalyptic number.

It is an amenable number.

3430525133505 is a deficient number, since it is larger than the sum of its proper divisors (2419789534143).

3430525133505 is a wasteful number, since it uses less digits than its factorization.

3430525133505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15695 (or 15676 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 39.

The spelling of 3430525133505 in words is "three trillion, four hundred thirty billion, five hundred twenty-five million, one hundred thirty-three thousand, five hundred five".

Divisors: 1 3 5 15 19 57 95 197 211 285 361 591 633 985 1055 1083 1805 2955 3165 3743 4009 5415 11229 12027 15241 18715 20045 41567 45723 56145 60135 71117 76171 76205 124701 207835 213351 228513 228615 289579 355585 380855 623505 789773 868737 1066755 1142565 1447895 2369319 3002477 3215851 3948865 4343685 5502001 9007431 9647553 11846595 15005687 15012385 16079255 16506003 27510005 45017061 45037155 48237765 57047063 61101169 75028435 82530015 171141189 183303507 225085305 285235315 305505845 633522647 855705945 916517535 1083894197 1160922211 1900567941 3167613235 3251682591 3482766633 5419470985 5804611055 9502839705 12036930293 16258412955 17413833165 36110790879 60184651465 180553954395 228701675567 686105026701 1143508377835 3430525133505