Search a number
-
+
130015245024 = 25327251256939
BaseRepresentation
bin111100100010110000…
…0110011001011100000
3110102120222121202212100
41321011200303023200
54112232400320044
6135421141530400
712251620230330
oct1710540631340
9412528552770
10130015245024
1150159241a25
1221245a13a00
13c3500b1862
1464155170c0
1535ae375869
hex1e458332e0

130015245024 has 144 divisors (see below), whose sum is σ = 424234661760. Its totient is φ = 36999072000.

The previous prime is 130015244977. The next prime is 130015245083. The reversal of 130015245024 is 420542510031.

130015245024 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 152 + 4 + 502 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377547 + ... + 634485.

It is an arithmetic number, because the mean of its divisors is an integer number (2946074040).

Almost surely, 2130015245024 is an apocalyptic number.

130015245024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130015245024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212117330880).

130015245024 is an abundant number, since it is smaller than the sum of its proper divisors (294219416736).

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

130015245024 is a wasteful number, since it uses less digits than its factorization.

130015245024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257213 (or 257202 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 130015245024 its reverse (420542510031), we get a palindrome (550557755055).

The spelling of 130015245024 in words is "one hundred thirty billion, fifteen million, two hundred forty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 251 252 288 336 502 504 672 753 1004 1008 1506 1757 2008 2016 2259 3012 3514 4016 4518 5271 6024 7028 8032 9036 10542 12048 14056 15813 18072 21084 24096 28112 31626 36144 42168 56224 63252 72288 84336 126504 168672 253008 256939 506016 513878 770817 1027756 1541634 1798573 2055512 2312451 3083268 3597146 4111024 4624902 5395719 6166536 7194292 8222048 9249804 10791438 12333072 14388584 16187157 18499608 21582876 24666144 28777168 32374314 36999216 43165752 57554336 64491689 64748628 73998432 86331504 128983378 129497256 172663008 193475067 257966756 258994512 386950134 451441823 515933512 517989024 580425201 773900268 902883646 1031867024 1160850402 1354325469 1547800536 1805767292 2063734048 2321700804 2708650938 3095601072 3611534584 4062976407 4643401608 5417301876 6191202144 7223069168 8125952814 9286803216 10834603752 14446138336 16251905628 18573606432 21669207504 32503811256 43338415008 65007622512 130015245024