Search a number
-
+
130441240220304 = 243132310338798369
BaseRepresentation
bin11101101010001010110111…
…110010011001001010010000
3122002212001122022022220200110
4131222022313302121022100
5114044122124444022204
61141231513431121320
736322032350535066
oct3552126762311220
9562761568286613
10130441240220304
1138620901565522
1212768477513240
1357a272cbb0140
14242d56552c036
1510131217ab889
hex76a2b7c99290

130441240220304 has 160 divisors (see below), whose sum is σ = 379038847461120. Its totient is φ = 38353564237824.

The previous prime is 130441240220129. The next prime is 130441240220311. The reversal of 130441240220304 is 403022042144031.

It is a super-2 number, since 2×1304412402203042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10426432 + ... + 19224800.

It is an arithmetic number, because the mean of its divisors is an integer number (2368992796632).

Almost surely, 2130441240220304 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 130441240220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189519423730560).

130441240220304 is an abundant number, since it is smaller than the sum of its proper divisors (248597607240816).

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

130441240220304 is a wasteful number, since it uses less digits than its factorization.

130441240220304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799449 (or 8799443 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 130441240220304 its reverse (403022042144031), we get a palindrome (533463282364335).

The spelling of 130441240220304 in words is "one hundred thirty trillion, four hundred forty-one billion, two hundred forty million, two hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1033 1104 1196 1794 2066 2392 3099 3588 4132 4784 6198 7176 8264 12396 13429 14352 16528 23759 24792 26858 40287 47518 49584 53716 71277 80574 95036 107432 142554 161148 190072 214864 285108 308867 322296 380144 570216 617734 644592 926601 1140432 1235468 1853202 2470936 3706404 4941872 7412808 8798369 14825616 17596738 26395107 35193476 52790214 70386952 105580428 114378797 140773904 202362487 211160856 228757594 343136391 404724974 422321712 457515188 607087461 686272782 809449948 915030376 1214174922 1372545564 1618899896 1830060752 2428349844 2630712331 2745091128 3237799792 4856699688 5261424662 5490182256 7892136993 9088715177 9713399376 10522849324 15784273986 18177430354 21045698648 27266145531 31568547972 36354860708 42091397296 54532291062 63137095944 72709721416 109064582124 118153297301 126274191888 145419442832 209040449071 218129164248 236306594602 354459891903 418080898142 436258328496 472613189204 627121347213 708919783806 836161796284 945226378408 1254242694426 1417839567612 1672323592568 1890452756816 2508485388852 2717525837923 2835679135224 3344647185136 5016970777704 5435051675846 5671358270448 8152577513769 10033941555408 10870103351692 16305155027538 21740206703384 32610310055076 43480413406768 65220620110152 130441240220304