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238991921424 = 2432407392
BaseRepresentation
bin1101111010010100000…
…1110101000100010000
3211211212202110112011100
43132211001311010100
512403423412441144
6301442534144400
723160304546134
oct3364501650420
9754782415140
10238991921424
11923a0788953
123a399ab2100
13196c9596429
14b7d283b3c4
15633b6d1269
hex37a5075110

238991921424 has 45 divisors (see below), whose sum is σ = 668861864983. Its totient is φ = 79662018336.

The previous prime is 238991921407. The next prime is 238991921437. The reversal of 238991921424 is 424129199832.

It is a happy number.

The square root of 238991921424 is 488868.

It is a perfect power (a square), and thus also a powerful number.

238991921424 is a `hidden beast` number, since 23 + 8 + 9 + 9 + 192 + 1 + 424 = 666.

It is a super-3 number, since 3×2389919214243 (a number of 35 digits) contains 333 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5846047 + ... + 5886785.

Almost surely, 2238991921424 is an apocalyptic number.

238991921424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

238991921424 is the 488868-th square number.

It is an amenable number.

238991921424 is an abundant number, since it is smaller than the sum of its proper divisors (429869943559).

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

238991921424 is an frugal number, since it uses more digits than its factorization.

238991921424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81492 (or 40744 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 238991921424 in words is "two hundred thirty-eight billion, nine hundred ninety-one million, nine hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 40739 81478 122217 162956 244434 325912 366651 488868 651824 733302 977736 1466604 1955472 2933208 5866416 1659666121 3319332242 4978998363 6638664484 9957996726 13277328968 14936995089 19915993452 26554657936 29873990178 39831986904 59747980356 79663973808 119495960712 238991921424