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354227405814 = 232311367717209
BaseRepresentation
bin1010010011110011001…
…10010100001111110110
31020212022201100122221200
411021321212110033312
521300424203441224
6430421350353330
734410041161362
oct5117146241766
91225281318850
10354227405814
11127255154967
125879a05b846
1327532651599
14132050a02a2
1593332485c9
hex52799943f6

354227405814 has 48 divisors (see below), whose sum is σ = 770214687840. Its totient is φ = 117657290880.

The previous prime is 354227405813. The next prime is 354227405837. The reversal of 354227405814 is 418504722453.

354227405814 is a `hidden beast` number, since 3 + 5 + 4 + 2 + 27 + 40 + 581 + 4 = 666.

It is a super-3 number, since 3×3542274058143 (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 354227405814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354227405813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20575242 + ... + 20592450.

It is an arithmetic number, because the mean of its divisors is an integer number (16046139330).

Almost surely, 2354227405814 is an apocalyptic number.

354227405814 is an abundant number, since it is smaller than the sum of its proper divisors (415987282026).

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

354227405814 is a wasteful number, since it uses less digits than its factorization.

354227405814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21205 (or 21202 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 354227405814 in words is "three hundred fifty-four billion, two hundred twenty-seven million, four hundred five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 311 622 933 1866 2799 3677 5598 7354 11031 17209 22062 33093 34418 51627 66186 103254 154881 309762 1143547 2287094 3430641 5351999 6861282 10291923 10703998 16055997 20583846 32111994 48167991 63277493 96335982 126554986 189832479 379664958 569497437 1138994874 19679300323 39358600646 59037900969 118075801938 177113702907 354227405814