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152024440253 = 7210369299213
BaseRepresentation
bin1000110110010101011…
…1001101110110111101
3112112101211210201211012
42031211113031312331
54442321224042003
6153501123205005
713661210264300
oct2154527156675
9475354721735
10152024440253
1159522919074
1225568816765
1311449b02cba
1475025acb37
153e4b6bd8d8
hex23655cddbd

152024440253 has 12 divisors (see below), whose sum is σ = 176862403260. Its totient is φ = 130293660672.

The previous prime is 152024440241. The next prime is 152024440307. The reversal of 152024440253 is 352044420251.

It can be written as a sum of positive squares in 2 ways, for example, as 93292371844 + 58732068409 = 305438^2 + 242347^2 .

It is not a de Polignac number, because 152024440253 - 214 = 152024423869 is a prime.

It is a super-3 number, since 3×1520244402533 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152024440223) 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 11 ways as a sum of consecutive naturals, for example, 358475 + ... + 657687.

It is an arithmetic number, because the mean of its divisors is an integer number (14738533605).

Almost surely, 2152024440253 is an apocalyptic number.

It is an amenable number.

152024440253 is a deficient number, since it is larger than the sum of its proper divisors (24837963007).

152024440253 is a wasteful number, since it uses less digits than its factorization.

152024440253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309596 (or 309589 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 152024440253 in words is "one hundred fifty-two billion, twenty-four million, four hundred forty thousand, two hundred fifty-three".

Divisors: 1 7 49 10369 72583 299213 508081 2094491 14661437 3102539597 21717777179 152024440253