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223142124240342 = 23251175724223967
BaseRepresentation
bin110010101111001001010011…
…000011001011110111010110
31002021002011211022012022100200
4302233021103003023313112
5213221430032301142332
62110330024322521330
765000325566606406
oct6257112303136726
91067064738168320
10223142124240342
116511105291542a
122103a531b06246
13976829aa8bb38
143d161ca562806
151abe68aae017c
hexcaf2530cbdd6

223142124240342 has 24 divisors (see below), whose sum is σ = 483475567214016. Its totient is φ = 74380559665776.

The previous prime is 223142124240271. The next prime is 223142124240383. The reversal of 223142124240342 is 243042421241322.

223142124240342 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 4 + 2 + 1 + 242 + 403 + 4 + 2 = 666.

It is a super-3 number, since 3×2231421242403423 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223142124240297 and 223142124240306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2900358 + ... + 21323609.

It is an arithmetic number, because the mean of its divisors is an integer number (20144815300584).

Almost surely, 2223142124240342 is an apocalyptic number.

223142124240342 is an abundant number, since it is smaller than the sum of its proper divisors (260333442973674).

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

223142124240342 is a wasteful number, since it uses less digits than its factorization.

223142124240342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24735732 (or 24735729 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 223142124240342 its reverse (243042421241322), we get a palindrome (466184545481664).

The spelling of 223142124240342 in words is "two hundred twenty-three trillion, one hundred forty-two billion, one hundred twenty-four million, two hundred forty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 511757 1023514 1535271 3070542 4605813 9211626 24223967 48447934 72671901 145343802 218015703 436031406 12396784680019 24793569360038 37190354040057 74380708080114 111571062120171 223142124240342