Search a number
-
+
142353612 = 22343114173
BaseRepresentation
bin10000111110000…
…10010011001100
3100220212022110000
420133002103030
5242420303422
622043044300
73345662052
oct1037022314
9326768400
10142353612
117339a415
123b810690
132365270b
1414c981d2
15c76dcac
hex87c24cc

142353612 has 60 divisors (see below), whose sum is σ = 384172096. Its totient is φ = 45917280.

The previous prime is 142353593. The next prime is 142353613. The reversal of 142353612 is 216353241.

142353612 is a `hidden beast` number, since 1 + 42 + 3 + 5 + 3 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142353613) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2958 + ... + 17130.

Almost surely, 2142353612 is an apocalyptic number.

142353612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142353612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192086048).

142353612 is an abundant number, since it is smaller than the sum of its proper divisors (241818484).

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

142353612 is a wasteful number, since it uses less digits than its factorization.

142353612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14220 (or 14209 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 142353612 is about 11931.2032922082. The cubic root of 142353612 is about 522.1430444283.

The spelling of 142353612 in words is "one hundred forty-two million, three hundred fifty-three thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 10044 14173 28346 42519 56692 85038 127557 170076 255114 382671 439363 510228 765342 878726 1148013 1318089 1530684 1757452 2296026 2636178 3954267 4592052 5272356 7908534 11862801 15817068 23725602 35588403 47451204 71176806 142353612