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40531003145412 = 223135323332101223
BaseRepresentation
bin10010011011100110111000…
…00010110111110011000100
312022111201121022000200201220
421031303130002313303010
520303024443301123122
6222111404044320340
711352161020233213
oct1115633402676304
9168451538020656
1040531003145412
1111a071136a859a
12466721ab430b0
1319800988793a0
14a019d507307a
154a448757c25c
hex24dcdc0b7cc4

40531003145412 has 96 divisors (see below), whose sum is σ = 103813308281088. Its totient is φ = 12230524061184.

The previous prime is 40531003145329. The next prime is 40531003145417. The reversal of 40531003145412 is 21454130013504.

40531003145412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40531003145417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18238633 + ... + 20339855.

It is an arithmetic number, because the mean of its divisors is an integer number (1081388627928).

Almost surely, 240531003145412 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 40531003145412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51906654140544).

40531003145412 is an abundant number, since it is smaller than the sum of its proper divisors (63282305135676).

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

40531003145412 is a wasteful number, since it uses less digits than its factorization.

40531003145412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103629 (or 2103627 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 40531003145412 its reverse (21454130013504), we get a palindrome (61985133158916).

The spelling of 40531003145412 in words is "forty trillion, five hundred thirty-one billion, three million, one hundred forty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2333 2756 4134 4666 6999 8268 9332 13998 27996 30329 60658 90987 121316 123649 181974 247298 363948 370947 494596 741894 1483788 1607437 2101223 3214874 4202446 4822311 6303669 6429748 8404892 9644622 12607338 19289244 25214676 27315899 54631798 81947697 109263596 111364819 163895394 222729638 327790788 334094457 445459276 668188914 1336377828 1447742647 2895485294 4343227941 4902153259 5790970588 8686455882 9804306518 14706459777 17372911764 19608613036 29412919554 58825839108 63727992367 127455984734 191183977101 254911969468 259814122727 382367954202 519628245454 764735908404 779442368181 1039256490908 1558884736362 3117769472724 3377583595451 6755167190902 10132750786353 13510334381804 20265501572706 40531003145412