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130544301456 = 2433893395347
BaseRepresentation
bin111100110010100001…
…0111111010110010000
3110110221212010121212000
41321211002333112100
54114323320121311
6135545441234000
712301003153032
oct1714502772620
9413855117760
10130544301456
11503aa944948
1221373032900
13c40589b2ba
1464658b3c52
1535e0a2d056
hex1e650bf590

130544301456 has 80 divisors (see below), whose sum is σ = 378920836800. Its totient is φ = 43025824512.

The previous prime is 130544301451. The next prime is 130544301457. The reversal of 130544301456 is 654103445031.

130544301456 is a `hidden beast` number, since 1 + 30 + 54 + 430 + 145 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130544301456.

It is not an unprimeable number, because it can be changed into a prime (130544301451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1659226 + ... + 1736121.

It is an arithmetic number, because the mean of its divisors is an integer number (4736510460).

Almost surely, 2130544301456 is an apocalyptic number.

130544301456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130544301456 is an abundant number, since it is smaller than the sum of its proper divisors (248376535344).

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

130544301456 is a wasteful number, since it uses less digits than its factorization.

130544301456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395453 (or 3395441 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 130544301456 its reverse (654103445031), we get a palindrome (784647746487).

The spelling of 130544301456 in words is "one hundred thirty billion, five hundred forty-four million, three hundred one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 89 108 144 178 216 267 356 432 534 712 801 1068 1424 1602 2136 2403 3204 4272 4806 6408 9612 12816 19224 38448 3395347 6790694 10186041 13581388 20372082 27162776 30558123 40744164 54325552 61116246 81488328 91674369 122232492 162976656 183348738 244464984 302185883 366697476 488929968 604371766 733394952 906557649 1208743532 1466789904 1813115298 2417487064 2719672947 3626230596 4834974128 5439345894 7252461192 8159018841 10878691788 14504922384 16318037682 21757383576 32636075364 43514767152 65272150728 130544301456