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152141355315 = 3257346313959
BaseRepresentation
bin1000110110110001010…
…1001101100100110011
3112112200222210122010200
42031230111031210303
54443041141332230
6153520501130243
713664130116445
oct2155425154463
9475628718120
10152141355315
1159582913094
122559b9b9983
13114680b9a01
147513d24495
153e56ab5160
hex236c54d933

152141355315 has 24 divisors (see below), whose sum is σ = 267324177120. Its totient is φ = 80030519424.

The previous prime is 152141355287. The next prime is 152141355323. The reversal of 152141355315 is 513553141251.

152141355315 is a `hidden beast` number, since 1 + 52 + 1 + 41 + 3 + 553 + 15 = 666.

152141355315 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152141355315 - 28 = 152141355059 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 152141355315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23153695 + ... + 23160264.

It is an arithmetic number, because the mean of its divisors is an integer number (11138507380).

Almost surely, 2152141355315 is an apocalyptic number.

152141355315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152141355315 is a deficient number, since it is larger than the sum of its proper divisors (115182821805).

152141355315 is a wasteful number, since it uses less digits than its factorization.

152141355315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46314043 (or 46314040 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

Adding to 152141355315 its reverse (513553141251), we get a palindrome (665694496566).

The spelling of 152141355315 in words is "one hundred fifty-two billion, one hundred forty-one million, three hundred fifty-five thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3285 46313959 138941877 231569795 416825631 694709385 2084128155 3380919007 10142757021 16904595035 30428271063 50713785105 152141355315