Search a number
-
+
40160666541006 = 23211533827012249
BaseRepresentation
bin10010010000110101000100…
…10000110101101111001110
312021012022200220100221200100
421020122202100311233032
520230443021113303011
6221225315553511530
711313340520105124
oct1110324220655716
9167168626327610
1040160666541006
1111884052304370
1246074a5b725a6
13195419995a23b
149cbb02737914
15499a0ee6cd56
hex2486a2435bce

40160666541006 has 48 divisors (see below), whose sum is σ = 96716253582000. Its totient is φ = 11940278213760.

The previous prime is 40160666541001. The next prime is 40160666541011. The reversal of 40160666541006 is 60014566606104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40160666541001) and next prime (40160666541011).

It is a super-2 number, since 2×401606665410062 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40160666541001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1913495631 + ... + 1913516618.

It is an arithmetic number, because the mean of its divisors is an integer number (2014921949625).

Almost surely, 240160666541006 is an apocalyptic number.

40160666541006 is an abundant number, since it is smaller than the sum of its proper divisors (56555587040994).

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

40160666541006 is a wasteful number, since it uses less digits than its factorization.

40160666541006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827012321 (or 3827012318 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 40160666541006 in words is "forty trillion, one hundred sixty billion, six hundred sixty-six million, five hundred forty-one thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 10494 3827012249 7654024498 11481036747 22962073494 34443110241 42097134739 68886220482 84194269478 126291404217 202831649197 252582808434 378874212651 405663298394 608494947591 757748425302 1216989895182 1825484842773 2231148141167 3650969685546 4462296282334 6693444423501 13386888847002 20080333270503 40160666541006