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13310310440 = 2357372116089
BaseRepresentation
bin11000110010101101…
…10011100000101000
31021100121200211100202
430121112303200220
5204224414413230
610040434051332
7650561525540
oct143126634050
937317624322
1013310310440
115710361269
1226b5719b48
13134176c74b
14903a64320
1552d7eaa45
hex3195b3828

13310310440 has 128 divisors (see below), whose sum is σ = 35323948800. Its totient is φ = 4418426880.

The previous prime is 13310310421. The next prime is 13310310491. The reversal of 13310310440 is 4401301331.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2182916 + ... + 2189004.

It is an arithmetic number, because the mean of its divisors is an integer number (275968350).

Almost surely, 213310310440 is an apocalyptic number.

13310310440 is a gapful number since it is divisible by the number (10) 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 13310310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17661974400).

13310310440 is an abundant number, since it is smaller than the sum of its proper divisors (22013638360).

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

13310310440 is a wasteful number, since it uses less digits than its factorization.

13310310440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6355 (or 6351 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13310310440 its reverse (4401301331), we get a palindrome (17711611771).

The spelling of 13310310440 in words is "thirteen billion, three hundred ten million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 211 259 280 296 370 422 518 740 844 1036 1055 1295 1477 1480 1688 2072 2110 2590 2954 4220 5180 5908 6089 7385 7807 8440 10360 11816 12178 14770 15614 24356 29540 30445 31228 39035 42623 48712 54649 59080 60890 62456 78070 85246 109298 121780 156140 170492 213115 218596 225293 243560 273245 312280 340984 426230 437192 450586 546490 852460 901172 1092980 1126465 1284779 1577051 1704920 1802344 2185960 2252930 2569558 3154102 4505860 5139116 6308204 6423895 7885255 8993453 9011720 10278232 12616408 12847790 15770510 17986906 25695580 31541020 35973812 44967265 47536823 51391160 63082040 71947624 89934530 95073646 179869060 190147292 237684115 332757761 359738120 380294584 475368230 665515522 950736460 1331031044 1663788805 1901472920 2662062088 3327577610 6655155220 13310310440