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253241340345 = 32573125933573
BaseRepresentation
bin1110101111011001011…
…1000011000110111001
3220012122211021000011200
43223312113003012321
513122114240342340
6312200520444413
724203361606420
oct3536627030671
9805584230150
10253241340345
1198443153224
12410b6019709
131ab5a773366
14c3850bc2b7
1568c2681330
hex3af65c31b9

253241340345 has 48 divisors (see below), whose sum is σ = 517841605632. Its totient is φ = 112033031040.

The previous prime is 253241340329. The next prime is 253241340347. The reversal of 253241340345 is 543043142352.

253241340345 is a `hidden beast` number, since 2 + 5 + 3 + 241 + 3 + 403 + 4 + 5 = 666.

It is not a de Polignac number, because 253241340345 - 24 = 253241340329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253241340347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12957022 + ... + 12976551.

It is an arithmetic number, because the mean of its divisors is an integer number (10788366784).

Almost surely, 2253241340345 is an apocalyptic number.

It is an amenable number.

253241340345 is an abundant number, since it is smaller than the sum of its proper divisors (264600265287).

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

253241340345 is a wasteful number, since it uses less digits than its factorization.

253241340345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25933622 (or 25933619 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 253241340345 its reverse (543043142352), we get a palindrome (796284482697).

The spelling of 253241340345 in words is "two hundred fifty-three billion, two hundred forty-one million, three hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 63 93 105 155 217 279 315 465 651 1085 1395 1953 3255 9765 25933573 77800719 129667865 181535011 233402157 389003595 544605033 803940763 907675055 1167010785 1633815099 2411822289 2723025165 4019703815 5627585341 7235466867 8169075495 12059111445 16882756023 28137926705 36177334335 50648268069 84413780115 253241340345