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513434345340 = 223575791211097
BaseRepresentation
bin1110111100010110001…
…00100101111101111100
31211002021010022011111110
413132023010211331330
531403003143022330
61031511331522020
752044244633050
oct7361304457574
91732233264443
10513434345340
11188823336a44
1283610159310
13395554c7b47
141abc9533c60
15d55027edb0
hex778b125f7c

513434345340 has 96 divisors (see below), whose sum is σ = 1643281403904. Its totient is φ = 117335600640.

The previous prime is 513434345327. The next prime is 513434345353. The reversal of 513434345340 is 43543434315.

It is an interprime number because it is at equal distance from previous prime (513434345327) and next prime (513434345353).

It is a super-2 number, since 2×5134343453402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2326672 + ... + 2537768.

It is an arithmetic number, because the mean of its divisors is an integer number (17117514624).

Almost surely, 2513434345340 is an apocalyptic number.

It is an amenable number.

513434345340 is an abundant number, since it is smaller than the sum of its proper divisors (1129847058564).

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

513434345340 is a wasteful number, since it uses less digits than its factorization.

513434345340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216907 (or 216905 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 39.

Adding to 513434345340 its reverse (43543434315), we get a palindrome (556977779655).

The spelling of 513434345340 in words is "five hundred thirteen billion, four hundred thirty-four million, three hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5791 11582 17373 23164 28955 34746 40537 57910 69492 81074 86865 115820 121611 162148 173730 202685 211097 243222 347460 405370 422194 486444 608055 633291 810740 844388 1055485 1216110 1266582 1477679 2110970 2432220 2533164 2955358 3166455 4221940 4433037 5910716 6332910 7388395 8866074 12665820 14776790 17732148 22165185 29553580 44330370 88660740 1222462727 2444925454 3667388181 4889850908 6112313635 7334776362 8557239089 12224627270 14669552724 17114478178 18336940905 24449254540 25671717267 34228956356 36673881810 42786195445 51343434534 73347763620 85572390890 102686869068 128358586335 171144781780 256717172670 513434345340