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238474189242 = 23219231238189
BaseRepresentation
bin1101111000011000101…
…0110101100110111010
3211210112200021000010100
43132012022311212322
512401343343023432
6301315321300230
723141420106642
oct3360612654672
9753480230110
10238474189242
1192155510013
123a274634676
1319646243223
14b783b8b522
15630b01407c
hex37862b59ba

238474189242 has 108 divisors (see below), whose sum is σ = 563492953530. Its totient is φ = 72876451680.

The previous prime is 238474189231. The next prime is 238474189267. The reversal of 238474189242 is 242981474832.

238474189242 is a `hidden beast` number, since 2 + 38 + 474 + 18 + 92 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 232701076881 + 5773112361 = 482391^2 + 75981^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6225484 + ... + 6263672.

Almost surely, 2238474189242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238474189242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281746476765).

238474189242 is an abundant number, since it is smaller than the sum of its proper divisors (325018764288).

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

238474189242 is a wasteful number, since it uses less digits than its factorization.

238474189242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38297 (or 38244 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

It can be divided in two parts, 238474 and 189242, that added together give a square (427716 = 6542).

The spelling of 238474189242 in words is "two hundred thirty-eight billion, four hundred seventy-four million, one hundred eighty-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 361 558 589 722 961 1083 1178 1767 1922 2166 2883 3249 3534 5301 5766 6498 8649 10602 11191 17298 18259 22382 33573 36518 38189 54777 67146 76378 100719 109554 114567 164331 201438 229134 328662 343701 346921 687402 693842 725591 1040763 1183859 1451182 2081526 2176773 2367718 3122289 3551577 4353546 6244578 6530319 7103154 10654731 13060638 13786229 21309462 22493321 27572458 36699629 41358687 44986642 67479963 73399258 82717374 110098887 124076061 134959926 202439889 220197774 248152122 330296661 404879778 427373099 660593322 697292951 854746198 1282119297 1394585902 2091878853 2564238594 3846357891 4183757706 6275636559 7692715782 12551273118 13248566069 26497132138 39745698207 79491396414 119237094621 238474189242