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41412314130 = 23511271160681
BaseRepresentation
bin100110100100010111…
…011100010000010010
310221220002120112021020
4212210113130100102
51134303023023010
631005145340310
72664143601465
oct464427342022
9127802515236
1041412314130
1116621198600
128038a97696
133b9c852cb5
14200bda72dc
1511259b0470
hex9a45dc412

41412314130 has 96 divisors (see below), whose sum is σ = 110785739904. Its totient is φ = 9897888000.

The previous prime is 41412314093. The next prime is 41412314171. The reversal of 41412314130 is 3141321414.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 41412314130.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177390 + ... + 338070.

It is an arithmetic number, because the mean of its divisors is an integer number (1154018124).

Almost surely, 241412314130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41412314130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55392869952).

41412314130 is an abundant number, since it is smaller than the sum of its proper divisors (69373425774).

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

41412314130 is a wasteful number, since it uses less digits than its factorization.

41412314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160784 (or 160773 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 41412314130 its reverse (3141321414), we get a palindrome (44553635544).

The spelling of 41412314130 in words is "forty-one billion, four hundred twelve million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 121 142 165 213 242 330 355 363 426 605 710 726 781 1065 1210 1562 1815 2130 2343 3630 3905 4686 7810 8591 11715 17182 23430 25773 42955 51546 85910 128865 160681 257730 321362 482043 803405 964086 1606810 1767491 2410215 3534982 4820430 5302473 8837455 10604946 11408351 17674910 19442401 22816702 26512365 34225053 38884802 53024730 57041755 58327203 68450106 97212005 114083510 116654406 125491861 171125265 194424010 250983722 291636015 342250530 376475583 583272030 627459305 752951166 1254918610 1380410471 1882377915 2760820942 3764755830 4141231413 6902052355 8282462826 13804104710 20706157065 41412314130