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234240042432 = 26311110909111
BaseRepresentation
bin1101101000100111001…
…0110110010111000000
3211101121120222001122010
43122021302312113000
512314210422324212
6255335225012520
722631454336414
oct3321162662700
9741546861563
10234240042432
1190382440930
1239492624140
131911cc6cc06
14b4a16c6d44
15615e43c03c
hex3689cb65c0

234240042432 has 56 divisors (see below), whose sum is σ = 676101946752. Its totient is φ = 70981830400.

The previous prime is 234240042427. The next prime is 234240042457.

234240042432 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 234240042432.

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, 55452444 + ... + 55456667.

Almost surely, 2234240042432 is an apocalyptic number.

234240042432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

234240042432 is an abundant number, since it is smaller than the sum of its proper divisors (441861904320).

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

234240042432 is a wasteful number, since it uses less digits than its factorization.

234240042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110909137 (or 110909127 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2342400 and 42432, that added together give a palindrome (2384832).

The spelling of 234240042432 in words is "two hundred thirty-four billion, two hundred forty million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 110909111 221818222 332727333 443636444 665454666 887272888 1220000221 1330909332 1774545776 2440000442 2661818664 3549091552 3660000663 4880000884 5323637328 7098183104 7320001326 9760001768 10647274656 14640002652 19520003536 21294549312 29280005304 39040007072 58560010608 78080014144 117120021216 234240042432