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130225503461504 = 2711413473964937
BaseRepresentation
bin11101100111000001111100…
…110111111110000010000000
3122002002102210020120001102112
4131213001330313332002000
5114032103312341232004
61140544434223434452
736300324242411603
oct3547017467760200
9562072706501375
10130225503461504
1138548364806540
12127326a9755a28
13578829b505389
142422d3b44033a
15100c6e69dde6e
hex76707cdfe080

130225503461504 has 128 divisors (see below), whose sum is σ = 289934195342400. Its totient is φ = 57747117260800.

The previous prime is 130225503461483. The next prime is 130225503461513. The reversal of 130225503461504 is 405164305522031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2005380524 + ... + 2005445460.

Almost surely, 2130225503461504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130225503461504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144967097671200).

130225503461504 is an abundant number, since it is smaller than the sum of its proper divisors (159708691880896).

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

130225503461504 is a wasteful number, since it uses less digits than its factorization.

130225503461504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99742 (or 99730 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 130225503461504 its reverse (405164305522031), we get a palindrome (535389808983535).

The spelling of 130225503461504 in words is "one hundred thirty trillion, two hundred twenty-five billion, five hundred three million, four hundred sixty-one thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 328 352 451 656 704 902 1312 1408 1804 2624 3608 5248 7216 14432 28864 34739 57728 64937 69478 129874 138956 259748 277912 382129 519496 555824 714307 764258 1038992 1111648 1424299 1428614 1528516 2077984 2223296 2662417 2848598 2857228 3057032 4155968 4446592 5324834 5697196 5714456 6114064 8311936 10649668 11394392 11428912 12228128 15667289 21299336 22788784 22857824 24456256 29286587 31334578 42598672 45577568 45715648 48912512 58573174 62669156 85197344 91155136 91431296 117146348 125338312 170394688 182310272 234292696 250676624 340789376 468585392 501353248 937170784 1002706496 1874341568 2005412992 2255846443 3748683136 4511692886 9023385772 18046771544 24814310873 36093543088 49628621746 72187086176 92489704163 99257243492 144374172352 184979408326 198514486984 288748344704 369958816652 397028973968 739917633304 794057947936 1017386745793 1479835266608 1588115895872 2034773491586 2959670533216 3176231791744 4069546983172 5919341066432 8139093966344 11838682132864 16278187932688 32556375865376 65112751730752 130225503461504