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130241022404400 = 24325236178061779
BaseRepresentation
bin11101100111010000011001…
…111000000010011100110000
3122002010220211210012000221100
4131213100121320002130300
5114032332103213420100
61140555522200324400
736301413643302225
oct3547203170023460
9562126753160840
10130241022404400
11385539a8852a86
12127356baa73700
1357898a270971b
1424239b054b94c
15100cd0415e400
hex767419e02730

130241022404400 has 90 divisors (see below), whose sum is σ = 451972525817540. Its totient is φ = 34730939306880.

The previous prime is 130241022404399. The next prime is 130241022404419. The reversal of 130241022404400 is 4404220142031.

130241022404400 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 4 + 10 + 2 + 240 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18089027290 + ... + 18089034489.

Almost surely, 2130241022404400 is an apocalyptic number.

130241022404400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130241022404400 is an abundant number, since it is smaller than the sum of its proper divisors (321731503413140).

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

130241022404400 is a wasteful number, since it uses less digits than its factorization.

130241022404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36178061803 (or 36178061789 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 130241022404400 its reverse (4404220142031), we get a palindrome (134645242546431).

The spelling of 130241022404400 in words is "one hundred thirty trillion, two hundred forty-one billion, twenty-two million, four hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 36178061779 72356123558 108534185337 144712247116 180890308895 217068370674 289424494232 325602556011 361780617790 434136741348 542670926685 578848988464 651205112022 723561235580 868273482696 904451544475 1085341853370 1302410224044 1447122471160 1628012780055 1736546965392 1808903088950 2170683706740 2604820448088 2713354633425 2894244942320 3256025560110 3617806177900 4341367413480 5209640896176 5426709266850 6512051120220 7235612355800 8140063900275 8682734826960 10853418533700 13024102240440 14471224711600 16280127800550 21706837067400 26048204480880 32560255601100 43413674134800 65120511202200 130241022404400