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42364233246324 = 2231117101186919721
BaseRepresentation
bin10011010000111101100010…
…00100101110011001110100
312112222222111020212220000210
421220132301010232121310
521023043422202340244
6230033505435505420
711631500123052033
oct1150366104563164
9175888436786023
1042364233246324
11125536302638a0
12490257bbb8270
131a83c124340a2
14a66622c6c71a
154d6ece5a64b9
hex2687b112e674

42364233246324 has 96 divisors (see below), whose sum is σ = 115310028822912. Its totient is φ = 11962862080000.

The previous prime is 42364233246281. The next prime is 42364233246383.

It is a happy number.

42364233246324 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93233217 + ... + 93686504.

It is an arithmetic number, because the mean of its divisors is an integer number (1201146133572).

Almost surely, 242364233246324 is an apocalyptic number.

42364233246324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42364233246324 is an abundant number, since it is smaller than the sum of its proper divisors (72945795576588).

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

42364233246324 is a wasteful number, since it uses less digits than its factorization.

42364233246324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186919857 (or 186919855 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

The spelling of 42364233246324 in words is "forty-two trillion, three hundred sixty-four billion, two hundred thirty-three million, two hundred forty-six thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 101 102 132 187 202 204 303 374 404 561 606 748 1111 1122 1212 1717 2222 2244 3333 3434 4444 5151 6666 6868 10302 13332 18887 20604 37774 56661 75548 113322 226644 186919721 373839442 560759163 747678884 1121518326 2056116931 2243036652 3177635257 4112233862 6168350793 6355270514 8224467724 9532905771 12336701586 12710541028 18878891821 19065811542 24673403172 34953987827 37757783642 38131623084 56636675463 69907975654 75515567284 104861963481 113273350926 139815951308 207667810031 209723926962 226546701852 320941160957 415335620062 419447853924 623003430093 641882321914 830671240124 962823482871 1246006860186 1283764643828 1925646965742 2492013720372 3530352770527 3851293931484 7060705541054 10591058311581 14121411082108 21182116623162 42364233246324