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130214145264 = 2437255363157
BaseRepresentation
bin111100101000101011…
…1100010110011110000
3110110002211212221200220
41321101113202303300
54113134310122024
6135453005013040
712256553654400
oct1712127426360
9413084787626
10130214145264
1150250543695
12212a0554180
13c3823723c8
146433ad0800
1535c1a63e79
hex1e515e2cf0

130214145264 has 60 divisors (see below), whose sum is σ = 391306800744. Its totient is φ = 37204040832.

The previous prime is 130214145253. The next prime is 130214145287. The reversal of 130214145264 is 462541412031.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27679227 + ... + 27683930.

Almost surely, 2130214145264 is an apocalyptic number.

130214145264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130214145264 is an abundant number, since it is smaller than the sum of its proper divisors (261092655480).

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

130214145264 is a wasteful number, since it uses less digits than its factorization.

130214145264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55363182 (or 55363169 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 130214145264 its reverse (462541412031), we get a palindrome (592755557295).

The spelling of 130214145264 in words is "one hundred thirty billion, two hundred fourteen million, one hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 55363157 110726314 166089471 221452628 332178942 387542099 442905256 664357884 775084198 885810512 1162626297 1328715768 1550168396 2325252594 2657431536 2712794693 3100336792 4650505188 5425589386 6200673584 8138384079 9301010376 10851178772 16276768158 18602020752 21702357544 32553536316 43404715088 65107072632 130214145264