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33034413131334 = 2331149753209393
BaseRepresentation
bin1111000001011011011000…
…11101011100011001000110
311022222001121001100020102000
413200231230131130121012
513312213434230200314
6154131444435330130
76646441360421256
oct740555435343106
9138861531306360
1033034413131334
11a5868a800973a
12385635a150946
131558193714154
14822c34863966
153c447a7c6209
hex1e0b6c75c646

33034413131334 has 32 divisors (see below), whose sum is σ = 73416193465440. Its totient is φ = 11010513067776.

The previous prime is 33034413131329. The next prime is 33034413131371. The reversal of 33034413131334 is 43313131443033.

33034413131334 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 4 + 4 + 1 + 313 + 1 + 334 = 666.

It is a super-2 number, since 2×330344131313342 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25983859 + ... + 27225534.

It is an arithmetic number, because the mean of its divisors is an integer number (2294256045795).

Almost surely, 233034413131334 is an apocalyptic number.

33034413131334 is an abundant number, since it is smaller than the sum of its proper divisors (40381780334106).

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

33034413131334 is a wasteful number, since it uses less digits than its factorization.

33034413131334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53220901 (or 53220895 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 33034413131334 its reverse (43313131443033), we get a palindrome (76347544574367).

The spelling of 33034413131334 in words is "thirty-three trillion, thirty-four billion, four hundred thirteen million, one hundred thirty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 11497 22994 34491 68982 103473 206946 310419 620838 53209393 106418786 159628179 319256358 478884537 957769074 1436653611 2873307222 611748391321 1223496782642 1835245173963 3670490347926 5505735521889 11011471043778 16517206565667 33034413131334