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130414044240 = 24325181130617
BaseRepresentation
bin111100101110101001…
…0000110010001010000
3110110121210000212112200
41321131102012101100
54114041443403430
6135524505323200
712264532041264
oct1713522062120
9413553025480
10130414044240
1150343367757
1221337496500
13c3b48c271c
1464524880a4
1535d439d460
hex1e5d486450

130414044240 has 60 divisors (see below), whose sum is σ = 437973834324. Its totient is φ = 34777078272.

The previous prime is 130414044221. The next prime is 130414044287. The reversal of 130414044240 is 42440414031.

130414044240 is a `hidden beast` number, since 1 + 3 + 0 + 414 + 0 + 4 + 4 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21062136384 + 109351907856 = 145128^2 + 330684^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90564589 + ... + 90566028.

Almost surely, 2130414044240 is an apocalyptic number.

130414044240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130414044240 is an abundant number, since it is smaller than the sum of its proper divisors (307559790084).

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

130414044240 is a wasteful number, since it uses less digits than its factorization.

130414044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181130636 (or 181130627 counting only the distinct ones).

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

Adding to 130414044240 its reverse (42440414031), we get a palindrome (172854458271).

The spelling of 130414044240 in words is "one hundred thirty billion, four hundred fourteen million, forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 181130617 362261234 543391851 724522468 905653085 1086783702 1449044936 1630175553 1811306170 2173567404 2716959255 2898089872 3260351106 3622612340 4347134808 5433918510 6520702212 7245224680 8150877765 8694269616 10867837020 13041404424 14490449360 16301755530 21735674040 26082808848 32603511060 43471348080 65207022120 130414044240