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242335036152 = 233211305978581
BaseRepresentation
bin1110000110110001001…
…0110011001011111000
3212011111202010100102100
43201230102303023320
512432300232124102
6303154400503400
723336200551246
oct3415422631370
9764452110370
10242335036152
11938568a0490
123ab7161ab60
1319b10092c21
14ba2c83b796
156484e4da1c
hex386c4b32f8

242335036152 has 48 divisors (see below), whose sum is σ = 715989881880. Its totient is φ = 73434859200.

The previous prime is 242335036147. The next prime is 242335036301. The reversal of 242335036152 is 251630533242.

242335036152 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 35 + 0 + 3 + 615 + 2 = 666.

242335036152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2423350361522 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 152988499 + ... + 152990082.

Almost surely, 2242335036152 is an apocalyptic number.

242335036152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242335036152 is an abundant number, since it is smaller than the sum of its proper divisors (473654845728).

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

242335036152 is a wasteful number, since it uses less digits than its factorization.

242335036152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305978604 (or 305978597 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 242335036152 its reverse (251630533242), we get a palindrome (493965569394).

The spelling of 242335036152 in words is "two hundred forty-two billion, three hundred thirty-five million, thirty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 305978581 611957162 917935743 1223914324 1835871486 2447828648 2753807229 3365764391 3671742972 5507614458 6731528782 7343485944 10097293173 11015228916 13463057564 20194586346 22030457832 26926115128 30291879519 40389172692 60583759038 80778345384 121167518076 242335036152