Search a number
-
+
253540152324 = 223315531511651
BaseRepresentation
bin1110110000100000101…
…0111011010000000100
3220020102122112020011000
43230020022323100010
513123222234333244
6312250313213300
724213650510364
oct3541012732004
9806378466130
10253540152324
1198586896078
124117a101230
131aba7646494
14c3b2a629a4
1568dda08169
hex3b082bb404

253540152324 has 48 divisors (see below), whose sum is σ = 657750018240. Its totient is φ = 84458908800.

The previous prime is 253540152323. The next prime is 253540152377. The reversal of 253540152324 is 423251045352.

253540152324 is a `hidden beast` number, since 2 + 535 + 40 + 1 + 52 + 32 + 4 = 666.

253540152324 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2535401523243 (a number of 35 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (253540152323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588102 + ... + 923549.

It is an arithmetic number, because the mean of its divisors is an integer number (13703125380).

Almost surely, 2253540152324 is an apocalyptic number.

It is an amenable number.

253540152324 is an abundant number, since it is smaller than the sum of its proper divisors (404209865916).

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

253540152324 is a wasteful number, since it uses less digits than its factorization.

253540152324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513217 (or 1513209 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 253540152324 its reverse (423251045352), we get a palindrome (676791197676).

The spelling of 253540152324 in words is "two hundred fifty-three billion, five hundred forty million, one hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1553 3106 4659 6212 9318 13977 18636 27954 41931 55908 83862 167724 1511651 3023302 4534953 6046604 9069906 13604859 18139812 27209718 40814577 54419436 81629154 163258308 2347594003 4695188006 7042782009 9390376012 14085564018 21128346027 28171128036 42256692054 63385038081 84513384108 126770076162 253540152324