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41459693130 = 2335436753299
BaseRepresentation
bin100110100111001100…
…001011011001001010
310222000101201122001000
4212213030023121022
51134402140140010
631014001035430
72665260401622
oct464714133112
9128011648030
1041459693130
1116645a090a9
128050925b76
133ba96013cb
1420143bb882
151129c1d7c0
hex9a730b64a

41459693130 has 128 divisors (see below), whose sum is σ = 114820992000. Its totient is φ = 10637428032.

The previous prime is 41459693129. The next prime is 41459693137. The reversal of 41459693130 is 3139695414.

41459693130 is a `hidden beast` number, since 4 + 1 + 459 + 69 + 3 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41459693137) 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 63 ways as a sum of consecutive naturals, for example, 751221 + ... + 804519.

It is an arithmetic number, because the mean of its divisors is an integer number (897039000).

Almost surely, 241459693130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41459693130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57410496000).

41459693130 is an abundant number, since it is smaller than the sum of its proper divisors (73361298870).

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

41459693130 is a wasteful number, since it uses less digits than its factorization.

41459693130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53425 (or 53419 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 41459693130 in words is "forty-one billion, four hundred fifty-nine million, six hundred ninety-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 67 86 90 129 134 135 201 215 258 270 335 387 402 430 603 645 670 774 1005 1161 1206 1290 1809 1935 2010 2322 2881 3015 3618 3870 5762 5805 6030 8643 9045 11610 14405 17286 18090 25929 28810 43215 51858 53299 77787 86430 106598 129645 155574 159897 259290 266495 319794 388935 479691 532990 777870 799485 959382 1439073 1598970 2291857 2398455 2878146 3571033 4583714 4796910 6875571 7142066 7195365 10713099 11459285 13751142 14390730 17855165 20626713 21426198 22918570 32139297 34377855 35710330 41253426 53565495 61880139 64278594 68755710 96417891 103133565 107130990 123760278 153554419 160696485 192835782 206267130 307108838 309400695 321392970 460663257 482089455 618801390 767772095 921326514 964178910 1381989771 1535544190 2303316285 2763979542 4145969313 4606632570 6909948855 8291938626 13819897710 20729846565 41459693130