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234141222340240 = 2455355221986401
BaseRepresentation
bin110101001111001101000000…
…011000101000011010010000
31010201000200102100202201022121
4311033031000120220122100
5221142132210404341430
62145550554223344024
7100214100522061465
oct6517150030503220
91121020370681277
10234141222340240
1168671809a64456
1222316179752014
13a0855653a2697
1441b66d200566c
151c1083cee4a7a
hexd4f340628690

234141222340240 has 40 divisors (see below), whose sum is σ = 554649631421688. Its totient is φ = 91889385369600.

The previous prime is 234141222340217. The next prime is 234141222340271. The reversal of 234141222340240 is 42043222141432.

It can be written as a sum of positive squares in 4 ways, for example, as 29026923376896 + 205114298963344 = 5387664^2 + 14321812^2 .

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

It is a super-2 number, since 2×2341412223402402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234141222340196 and 234141222340205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27610988961 + ... + 27610997440.

Almost surely, 2234141222340240 is an apocalyptic number.

234141222340240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234141222340240 is an abundant number, since it is smaller than the sum of its proper divisors (320508409081448).

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

234141222340240 is a wasteful number, since it uses less digits than its factorization.

234141222340240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55221986467 (or 55221986461 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 234141222340240 its reverse (42043222141432), we get a palindrome (276184444481672).

The spelling of 234141222340240 in words is "two hundred thirty-four trillion, one hundred forty-one billion, two hundred twenty-two million, three hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 55221986401 110443972802 220887945604 276109932005 441775891208 552219864010 883551782416 1104439728020 2208879456040 2926765279253 4417758912080 5853530558506 11707061117012 14633826396265 23414122234024 29267652792530 46828244468048 58535305585060 117070611170120 234141222340240