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240344130231 = 3372720036113
BaseRepresentation
bin1101111111010110100…
…0000110001010110111
3211222100222212211221000
43133311220012022313
512414211044131411
6302225040454343
723235644253642
oct3376550061267
9758328784830
10240344130231
1192a24aa5397
123a6b691a3b3
1319883780c9a
14b8c026ca59
1563ba285956
hex37f5a062b7

240344130231 has 32 divisors (see below), whose sum is σ = 356791518720. Its totient is φ = 159902975232.

The previous prime is 240344130223. The next prime is 240344130233. The reversal of 240344130231 is 132031443042.

240344130231 is a `hidden beast` number, since 240 + 3 + 4 + 413 + 0 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 240344130231 - 23 = 240344130223 is a prime.

It is a super-3 number, since 3×2403441302313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 240344130195 and 240344130204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240344130233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39313831 + ... + 39319943.

It is an arithmetic number, because the mean of its divisors is an integer number (11149734960).

Almost surely, 2240344130231 is an apocalyptic number.

240344130231 is a deficient number, since it is larger than the sum of its proper divisors (116447388489).

240344130231 is a wasteful number, since it uses less digits than its factorization.

240344130231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8852 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 240344130231 its reverse (132031443042), we get a palindrome (372375573273).

The spelling of 240344130231 in words is "two hundred forty billion, three hundred forty-four million, one hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 9 27 727 2003 2181 6009 6113 6543 18027 18339 19629 54081 55017 165051 1456181 4368543 4444151 12244339 13105629 13332453 36733017 39316887 39997359 110199051 119992077 330597153 8901634453 26704903359 80114710077 240344130231