Search a number
-
+
130421331402040 = 23573075092980811
BaseRepresentation
bin11101101001111000010101…
…001000010001110100111000
3122002210011020211101011021001
4131221320111020101310320
5114043310341314331130
61141214422120054344
736320426113425130
oct3551702510216470
9562704224334231
10130421331402040
1138613415554708
12127646400043b4
1357a08a937c2c3
14242c5d73bdac0
151012858a526ca
hex769e15211d38

130421331402040 has 128 divisors (see below), whose sum is σ = 337122683251200. Its totient is φ = 44482651476480.

The previous prime is 130421331401951. The next prime is 130421331402041. The reversal of 130421331402040 is 40204133124031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130421331402041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42263235 + ... + 45244045.

It is an arithmetic number, because the mean of its divisors is an integer number (2633770962900).

Almost surely, 2130421331402040 is an apocalyptic number.

130421331402040 is a gapful number since it is divisible by the number (10) 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 130421331402040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168561341625600).

130421331402040 is an abundant number, since it is smaller than the sum of its proper divisors (206701351849160).

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

130421331402040 is a wasteful number, since it uses less digits than its factorization.

130421331402040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981645 (or 2981641 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 130421331402040 its reverse (40204133124031), we get a palindrome (170625464526071).

The spelling of 130421331402040 in words is "one hundred thirty trillion, four hundred twenty-one billion, three hundred thirty-one million, four hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 307 509 614 1018 1228 1535 2036 2149 2456 2545 3070 3563 4072 4298 5090 6140 7126 8596 10180 10745 12280 14252 17192 17815 20360 21490 28504 35630 42980 71260 85960 142520 156263 312526 625052 781315 1093841 1250104 1562630 2187682 2980811 3125260 4375364 5469205 5961622 6250520 8750728 10938410 11923244 14904055 20865677 21876820 23846488 29808110 41731354 43753640 59616220 83462708 104328385 119232440 166925416 208656770 417313540 834627080 915108977 1517232799 1830217954 3034465598 3660435908 4575544885 6068931196 6405762839 7320871816 7586163995 9151089770 10620629593 12137862392 12811525678 15172327990 18302179540 21241259186 25623051356 30344655980 32028814195 36604359080 42482518372 51246102712 53103147965 60689311960 64057628390 84965036744 106206295930 128115256780 212412591860 256230513560 424825183720 465790469293 931580938586 1863161877172 2328952346465 3260533285051 3726323754344 4657904692930 6521066570102 9315809385860 13042133140204 16302666425255 18631618771720 26084266280408 32605332850510 65210665701020 130421331402040