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242114040640 = 2653720448821
BaseRepresentation
bin1110000101111100011…
…1110001001101000000
3212010221100021121120101
43201133013301031000
512431322143300030
6303120424052144
723330545250413
oct3413707611500
9763840247511
10242114040640
119375307826a
123ab0b604054
1319aa6367354
14ba0b351b7a
1564708487ca
hex385f1f1340

242114040640 has 56 divisors (see below), whose sum is σ = 592116089832. Its totient is φ = 94228162560.

The previous prime is 242114040629. The next prime is 242114040653. The reversal of 242114040640 is 46040411242.

It can be written as a sum of positive squares in 4 ways, for example, as 39556436544 + 202557604096 = 198888^2 + 450064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242114040599 and 242114040608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10212571 + ... + 10236250.

Almost surely, 2242114040640 is an apocalyptic number.

242114040640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242114040640 is an abundant number, since it is smaller than the sum of its proper divisors (350002049192).

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

242114040640 is a wasteful number, since it uses less digits than its factorization.

242114040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20448875 (or 20448865 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 242114040640 its reverse (46040411242), we get a palindrome (288154451882).

The spelling of 242114040640 in words is "two hundred forty-two billion, one hundred fourteen million, forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 11840 20448821 40897642 81795284 102244105 163590568 204488210 327181136 408976420 654362272 756606377 817952840 1308724544 1513212754 1635905680 3026425508 3271811360 3783031885 6052851016 6543622720 7566063770 12105702032 15132127540 24211404064 30264255080 48422808128 60528510160 121057020320 242114040640