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130560234841440 = 25325307295331693
BaseRepresentation
bin11101101011111001101100…
…011010110110010101100000
3122010021102210020200222122200
4131223321230122312111200
5114103044330104411230
61141402313250533200
736333444221244555
oct3553715432662540
9563242706628580
10130560234841440
1138667314962618
1212787546597200
1357b0a149c5c71
142435213126a2c
15101628836c160
hex76be6c6b6560

130560234841440 has 144 divisors (see below), whose sum is σ = 446988062849328. Its totient is φ = 34702655136768.

The previous prime is 130560234841409. The next prime is 130560234841447. The reversal of 130560234841440 is 44148432065031.

130560234841440 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 6 + 0 + 23 + 484 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130560234841447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147223767 + ... + 148107926.

It is an arithmetic number, because the mean of its divisors is an integer number (3104083769787).

Almost surely, 2130560234841440 is an apocalyptic number.

130560234841440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130560234841440 is an abundant number, since it is smaller than the sum of its proper divisors (316427828007888).

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

130560234841440 is a wasteful number, since it uses less digits than its factorization.

130560234841440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295332021 (or 295332010 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 130560234841440 in words is "one hundred thirty trillion, five hundred sixty billion, two hundred thirty-four million, eight hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 307 360 480 614 720 921 1228 1440 1535 1842 2456 2763 3070 3684 4605 4912 5526 6140 7368 9210 9824 11052 12280 13815 14736 18420 22104 24560 27630 29472 36840 44208 49120 55260 73680 88416 110520 147360 221040 442080 295331693 590663386 885995079 1181326772 1476658465 1771990158 2362653544 2657985237 2953316930 3543980316 4429975395 4725307088 5315970474 5906633860 7087960632 8859950790 9450614176 10631940948 11813267720 13289926185 14175921264 17719901580 21263881896 23626535440 26579852370 28351842528 35439803160 42527763792 47253070880 53159704740 70879606320 85055527584 90666829751 106319409480 141759212640 181333659502 212638818960 272000489253 362667319004 425277637920 453334148755 544000978506 725334638008 816001467759 906668297510 1088001957012 1360002446265 1450669276016 1632002935518 1813336595020 2176003914024 2720004892530 2901338552032 3264005871036 3626673190040 4080007338795 4352007828048 5440009785060 6528011742072 7253346380080 8160014677590 8704015656096 10880019570120 13056023484144 14506692760160 16320029355180 21760039140240 26112046968288 32640058710360 43520078280480 65280117420720 130560234841440