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254442431412 = 223313331547513
BaseRepresentation
bin1110110011110111110…
…0110110001110110100
3220022202112022202101000
43230331330312032310
513132044230301122
6312520024203300
724245214660561
oct3547574661664
9808675282330
10254442431412
11989aa134774
1241390309530
131acbc55a330
14c45a813868
156942d350ac
hex3b3df363b4

254442431412 has 96 divisors (see below), whose sum is σ = 712556620160. Its totient is φ = 78053310720.

The previous prime is 254442431393. The next prime is 254442431413. The reversal of 254442431412 is 214134244452.

254442431412 is a `hidden beast` number, since 2 + 544 + 42 + 4 + 31 + 41 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254442431413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190968 + ... + 738480.

Almost surely, 2254442431412 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 254442431412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356278310080).

254442431412 is an abundant number, since it is smaller than the sum of its proper divisors (458114188748).

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

254442431412 is a wasteful number, since it uses less digits than its factorization.

254442431412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547870 (or 547862 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 254442431412 its reverse (214134244452), we get a palindrome (468576675864).

The spelling of 254442431412 in words is "two hundred fifty-four billion, four hundred forty-two million, four hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 331 351 468 662 702 993 1324 1404 1986 2979 3972 4303 5958 8606 8937 11916 12909 17212 17874 25818 35748 38727 51636 77454 116181 154908 232362 464724 547513 1095026 1642539 2190052 3285078 4927617 6570156 7117669 9855234 14235338 14782851 19710468 21353007 28470676 29565702 42706014 59131404 64059021 85412028 128118042 181226803 192177063 256236084 362453606 384354126 543680409 724907212 768708252 1087360818 1631041227 2174721636 2355948439 3262082454 4711896878 4893123681 6524164908 7067845317 9423793756 9786247362 14135690634 19572494724 21203535951 28271381268 42407071902 63610607853 84814143804 127221215706 254442431412