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130451514024 = 2331317145316927
BaseRepresentation
bin111100101111110000…
…1000010001010101000
3110110201101112112102110
41321133201002022220
54114131041422044
6135532324402320
712265465400526
oct1713741021250
9413641475373
10130451514024
115036252a317
1221347b463a0
13c3bc5b16b0
14645743d316
1535d78006b9
hex1e5f8422a8

130451514024 has 128 divisors (see below), whose sum is σ = 372153277440. Its totient is φ = 37749583872.

The previous prime is 130451514023. The next prime is 130451514043. The reversal of 130451514024 is 420415154031.

It is a super-2 number, since 2×1304515140242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130451513982 and 130451514000.

It is not an unprimeable number, because it can be changed into a prime (130451514023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7698249 + ... + 7715175.

It is an arithmetic number, because the mean of its divisors is an integer number (2907447480).

Almost surely, 2130451514024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130451514024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186076638720).

130451514024 is an abundant number, since it is smaller than the sum of its proper divisors (241701763416).

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

130451514024 is a wasteful number, since it uses less digits than its factorization.

130451514024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18419 (or 18415 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 130451514024 its reverse (420415154031), we get a palindrome (550866668055).

The spelling of 130451514024 in words is "one hundred thirty billion, four hundred fifty-one million, five hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1453 1768 2652 2906 4359 5304 5812 8718 11624 16927 17436 18889 24701 33854 34872 37778 49402 50781 56667 67708 74103 75556 98804 101562 113334 135416 148206 151112 197608 203124 220051 226668 287759 296412 321113 406248 440102 453336 575518 592824 642226 660153 863277 880204 963339 1151036 1284452 1320306 1726554 1760408 1926678 2302072 2568904 2640612 3453108 3740867 3853356 5281224 6906216 7481734 7706712 11222601 14963468 22445202 24594931 29926936 44890404 49189862 73784793 89780808 98379724 147569586 196759448 295139172 319734103 418113827 590278344 639468206 836227654 959202309 1254341481 1278936412 1672455308 1918404618 2508682962 2557872824 3344910616 3836809236 5017365924 5435479751 7673618472 10034731848 10870959502 16306439253 21741919004 32612878506 43483838008 65225757012 130451514024