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234142424240 = 2457237404419
BaseRepresentation
bin1101101000001111111…
…0011101110010110000
3211101100210021112122112
43122003332131302300
512314010430033430
6255321420424452
722626160524314
oct3320376356260
9741323245575
10234142424240
119033232693a
12394659a8128
131910598157a
14b492755b44
156155aa8195
hex3683f9dcb0

234142424240 has 40 divisors (see below), whose sum is σ = 544457704560. Its totient is φ = 93643796736.

The previous prime is 234142424221. The next prime is 234142424249. The reversal of 234142424240 is 42424241432.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2341424242403 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234142424197 and 234142424206.

It is not an unprimeable number, because it can be changed into a prime (234142424249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 376751 + ... + 781169.

It is an arithmetic number, because the mean of its divisors is an integer number (13611442614).

Almost surely, 2234142424240 is an apocalyptic number.

234142424240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234142424240 is an abundant number, since it is smaller than the sum of its proper divisors (310315280320).

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

234142424240 is a wasteful number, since it uses less digits than its factorization.

234142424240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411669 (or 411663 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 234142424240 its reverse (42424241432), we get a palindrome (276566665672).

The spelling of 234142424240 in words is "two hundred thirty-four billion, one hundred forty-two million, four hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 7237 14474 28948 36185 57896 72370 115792 144740 289480 404419 578960 808838 1617676 2022095 3235352 4044190 6470704 8088380 16176760 32353520 2926780303 5853560606 11707121212 14633901515 23414242424 29267803030 46828484848 58535606060 117071212120 234142424240