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10344604016240 = 2451319523512349
BaseRepresentation
bin1001011010001000101001…
…1100101001111001110000
31100121221020020111002000222
42112202022130221321300
52323441222112004430
634000125005032212
72115241634221424
oct226421234517160
940557206432028
1010344604016240
11332913831395a
1211b0a2ab55668
135a0651b31a40
1427a9780a2b84
1512e1483c19e5
hex9688a729e70

10344604016240 has 80 divisors (see below), whose sum is σ = 27264523188000. Its totient is φ = 3618517349376.

The previous prime is 10344604016167. The next prime is 10344604016291. The reversal of 10344604016240 is 4261040644301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 10344604016240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261736415 + ... + 261775934.

It is an arithmetic number, because the mean of its divisors is an integer number (340806539850).

Almost surely, 210344604016240 is an apocalyptic number.

10344604016240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344604016240 is an abundant number, since it is smaller than the sum of its proper divisors (16919919171760).

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

10344604016240 is a wasteful number, since it uses less digits than its factorization.

10344604016240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523512394 (or 523512388 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 10344604016240 in words is "ten trillion, three hundred forty-four billion, six hundred four million, sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 523512349 1047024698 2094049396 2617561745 4188098792 5235123490 6805660537 8376197584 9946734631 10470246980 13611321074 19893469262 20940493960 27222642148 34028302685 39786938524 41880987920 49733673155 54445284296 68056605370 79573877048 99467346310 108890568592 129307550203 136113210740 159147754096 198934692620 258615100406 272226421480 397869385240 517230200812 544452842960 646537751015 795738770480 1034460401624 1293075502030 2068920803248 2586151004060 5172302008120 10344604016240