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153144342 = 232131933391
BaseRepresentation
bin10010010000011…
…00110000010110
3101200011112112200
421020030300112
5303201104332
623110225330
73536463651
oct1110146026
9350145480
10153144342
117949a67a
1243355246
1325960170
14164a6898
15d6a117c
hex920cc16

153144342 has 48 divisors (see below), whose sum is σ = 359294208. Its totient is φ = 46863360.

The previous prime is 153144323. The next prime is 153144359. The reversal of 153144342 is 243441351.

It is a happy number.

153144342 is a `hidden beast` number, since 1 + 5 + 314 + 4 + 342 = 666.

It is a super-2 number, since 2×1531443422 = 46906378973225928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43467 + ... + 46857.

It is an arithmetic number, because the mean of its divisors is an integer number (7485296).

Almost surely, 2153144342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179647104).

153144342 is an abundant number, since it is smaller than the sum of its proper divisors (206149866).

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

153144342 is a wasteful number, since it uses less digits than its factorization.

153144342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3602 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 153144342 is about 12375.1501809069. The cubic root of 153144342 is about 535.0162652638.

Adding to 153144342 its reverse (243441351), we get a palindrome (396585693).

The spelling of 153144342 in words is "one hundred fifty-three million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 193 234 386 579 1158 1737 2509 3391 3474 5018 6782 7527 10173 15054 20346 22581 30519 44083 45162 61038 88166 132249 264498 396747 654463 793494 1308926 1963389 3926778 5890167 8508019 11780334 17016038 25524057 51048114 76572171 153144342