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313040034322340 = 2251317197359510341
BaseRepresentation
bin100011100101101010101000…
…0000010111101011110100100
31112001101100001020002102000212
41013023111100002331132210
5312012321442241303330
63025440334555154552
7122636252605412423
oct10713252002753644
91461340036072025
10313040034322340
1190820595490126
122b13930a145a58
131058971929bc60
14574330b8012ba
15262cd52a0c295
hex11cb5500bd7a4

313040034322340 has 96 divisors (see below), whose sum is σ = 753401377026144. Its totient is φ = 108232744919040.

The previous prime is 313040034322283. The next prime is 313040034322361. The reversal of 313040034322340 is 43223430040313.

It can be written as a sum of positive squares in 16 ways, for example, as 66499980181504 + 246540054140836 = 8154752^2 + 15701594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 313040034322297 and 313040034322306.

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, 178884431 + ... + 180625910.

It is an arithmetic number, because the mean of its divisors is an integer number (7847931010689).

Almost surely, 2313040034322340 is an apocalyptic number.

It is an amenable number.

313040034322340 is an abundant number, since it is smaller than the sum of its proper divisors (440361342703804).

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

313040034322340 is a wasteful number, since it uses less digits than its factorization.

313040034322340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359510577 (or 359510575 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 313040034322340 its reverse (43223430040313), we get a palindrome (356263464362653).

The spelling of 313040034322340 in words is "three hundred thirteen trillion, forty billion, thirty-four million, three hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 197 221 260 340 394 442 788 884 985 1105 1970 2210 2561 3349 3940 4420 5122 6698 10244 12805 13396 16745 25610 33490 43537 51220 66980 87074 174148 217685 435370 870740 359510341 719020682 1438041364 1797551705 3595103410 4673634433 6111675797 7190206820 9347268866 12223351594 18694537732 23368172165 24446703188 30558378985 46736344330 61116757970 70823537177 79451785361 93472688660 122233515940 141647074354 158903570722 283294148708 317807141444 354117685885 397258926805 708235371770 794517853610 920705983301 1204000132009 1416470743540 1589035707220 1841411966602 2408000264018 3682823933204 4603529916505 4816000528036 6020000660045 9207059833010 12040001320090 15652001716117 18414119666020 24080002640180 31304003432234 62608006864468 78260008580585 156520017161170 313040034322340