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151014144 = 283316343
BaseRepresentation
bin10010000000001…
…00101100000000
3101112011022110110
421000010230000
5302124423034
622552431320
73512412321
oct1100045400
9345138413
10151014144
1178275186
12426a8540
13253956a8
14160b0448
15d3cede9
hex9004b00

151014144 has 72 divisors (see below), whose sum is σ = 414948352. Its totient is φ = 48706560.

The previous prime is 151014139. The next prime is 151014161. The reversal of 151014144 is 441410151.

It is a self number, because there is not a number n which added to its sum of digits gives 151014144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20637 + ... + 26979.

Almost surely, 2151014144 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 151014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207474176).

151014144 is an abundant number, since it is smaller than the sum of its proper divisors (263934208).

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

151014144 is an equidigital number, since it uses as much as digits as its factorization.

151014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6393 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 151014144 is about 12288.7812251663. The cubic root of 151014144 is about 532.5240280987.

Adding to 151014144 its reverse (441410151), we get a palindrome (592424295).

The spelling of 151014144 in words is "one hundred fifty-one million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1984 2976 3968 5952 6343 7936 11904 12686 19029 23808 25372 38058 50744 76116 101488 152232 196633 202976 304464 393266 405952 589899 608928 786532 811904 1179798 1217856 1573064 1623808 2359596 2435712 3146128 4719192 4871424 6292256 9438384 12584512 18876768 25169024 37753536 50338048 75507072 151014144