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42130203220320 = 2535471867473547
BaseRepresentation
bin10011001010001001100111…
…10011000001100101100000
312112011121102022002202202220
421211010303303001211200
521010230124011022240
6225334203112111040
711605543465465155
oct1145046363014540
9175147368082686
1042130203220320
1112473356427466
124885147995480
131a67b26b47667
14a5918141422c
154d0d838015d0
hex265133cc1960

42130203220320 has 96 divisors (see below), whose sum is σ = 135533760219648. Its totient is φ = 10995684238848.

The previous prime is 42130203220249. The next prime is 42130203220447. The reversal of 42130203220320 is 2302230203124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933714214 + ... + 933759333.

It is an arithmetic number, because the mean of its divisors is an integer number (1411810002288).

Almost surely, 242130203220320 is an apocalyptic number.

42130203220320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42130203220320 is an abundant number, since it is smaller than the sum of its proper divisors (93403556999328).

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

42130203220320 is a wasteful number, since it uses less digits than its factorization.

42130203220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867473612 (or 1867473604 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42130203220320 its reverse (2302230203124), we get a palindrome (44432433423444).

The spelling of 42130203220320 in words is "forty-two trillion, one hundred thirty billion, two hundred three million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 11280 22560 1867473547 3734947094 5602420641 7469894188 9337367735 11204841282 14939788376 18674735470 22409682564 28012103205 29879576752 37349470940 44819365128 56024206410 59759153504 74698941880 87771256709 89638730256 112048412820 149397883760 175542513418 179277460512 224096825640 263313770127 298795767520 351085026836 438856283545 448193651280 526627540254 702170053672 877712567090 896387302560 1053255080508 1316568850635 1404340107344 1755425134180 2106510161016 2633137701270 2808680214688 3510850268360 4213020322032 5266275402540 7021700536720 8426040644064 10532550805080 14043401073440 21065101610160 42130203220320