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42337544573324 = 227111310573812331
BaseRepresentation
bin10011010000001011110100…
…10011100001000110001100
312112220102121021102211100102
421220011322103201012030
521022124242402321244
6230013333252550232
711626533552062540
oct1150057223410614
9175812537384312
1042337544573324
11125432851a0850
1248b9372022378
131a8154b0b8ba0
14a6521050ba20
154d646b51b54e
hex26817a4e118c

42337544573324 has 48 divisors (see below), whose sum is σ = 99478426419456. Its totient is φ = 15226289755200.

The previous prime is 42337544573227. The next prime is 42337544573329.

42337544573324 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42337544573324.

It is not an unprimeable number, because it can be changed into a prime (42337544573329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5286902162 + ... + 5286910169.

It is an arithmetic number, because the mean of its divisors is an integer number (2072467217072).

Almost surely, 242337544573324 is an apocalyptic number.

42337544573324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42337544573324 is an abundant number, since it is smaller than the sum of its proper divisors (57140881846132).

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

42337544573324 is a wasteful number, since it uses less digits than its factorization.

42337544573324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10573812366 (or 10573812364 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 56.

The spelling of 42337544573324 in words is "forty-two trillion, three hundred thirty-seven billion, five hundred forty-four million, five hundred seventy-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 4004 10573812331 21147624662 42295249324 74016686317 116311935641 137459560303 148033372634 232623871282 274919120606 296066745268 465247742564 549838241212 814183549487 962216922121 1512055163333 1628367098974 1924433844242 3024110326666 3256734197948 3848867688484 6048220653332 10584386143331 21168772286662 42337544573324