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130440024021320 = 23513417186171831
BaseRepresentation
bin11101101010001001101111…
…010010111101100101001000
3122002211221111112211121022122
4131222021233102331211020
5114044112132122140240
61141231153023510412
736321660252161336
oct3552115722754510
9562757445747278
10130440024021320
1138620337aa51a2
1212768198158408
1357a2597c36680
14242d48bbc2b56
15101309eb214b5
hex76a26f4bd948

130440024021320 has 128 divisors (see below), whose sum is σ = 328335361159680. Its totient is φ = 46325975808000.

The previous prime is 130440024021319. The next prime is 130440024021331. The reversal of 130440024021320 is 23120420044031.

It is a super-4 number, since 4×1304400240213204 (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 130440024021320.

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, 41572196 + ... + 44599635.

It is an arithmetic number, because the mean of its divisors is an integer number (2565120009060).

Almost surely, 2130440024021320 is an apocalyptic number.

130440024021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440024021320 is an abundant number, since it is smaller than the sum of its proper divisors (197895337138360).

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

130440024021320 is a wasteful number, since it uses less digits than its factorization.

130440024021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86171967 (or 86171963 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 130440024021320 its reverse (23120420044031), we get a palindrome (153560444065351).

The spelling of 130440024021320 in words is "one hundred thirty trillion, four hundred forty billion, twenty-four million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 71 82 104 130 142 164 205 260 284 328 355 410 520 533 568 710 820 923 1066 1420 1640 1846 2132 2665 2840 2911 3692 4264 4615 5330 5822 7384 9230 10660 11644 14555 18460 21320 23288 29110 36920 37843 58220 75686 116440 151372 189215 302744 378430 756860 1513720 86171831 172343662 344687324 430859155 689374648 861718310 1120233803 1723436620 2240467606 3446873240 3533045071 4480935212 5601169015 6118200001 7066090142 8961870424 11202338030 12236400002 14132180284 17665225355 22404676060 24472800004 28264360568 30591000005 35330450710 44809352120 45929585923 48945600008 61182000010 70660901420 79536600013 91859171846 122364000020 141321802840 159073200026 183718343692 229647929615 244728000040 250846200041 318146400052 367436687384 397683000065 459295859230 501692400082 636292800104 795366000130 918591718460 1003384800164 1254231000205 1590732000260 1837183436920 2006769600328 2508462000410 3181464000520 3261000600533 5016924000820 6522001201066 10033848001640 13044002402132 16305003002665 26088004804264 32610006005330 65220012010660 130440024021320