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3342433442004 = 2232791175257891
BaseRepresentation
bin110000101000111000100…
…011101101100011010100
3102211112101221012111120100
4300220320203231203110
5414230300430121004
611035254232334100
7463324421326356
oct60507043554324
912745357174510
103342433442004
1110795775a5008
1245b952244330
131b3261908577
14b7abb88d0d6
155be27369739
hex30a388ed8d4

3342433442004 has 36 divisors (see below), whose sum is σ = 8555877453760. Its totient is φ = 1100041385040.

The previous prime is 3342433441979. The next prime is 3342433442053. The reversal of 3342433442004 is 4002443342433.

3342433442004 is a `hidden beast` number, since 33 + 42 + 43 + 344 + 200 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33424334420042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3342433442004.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 587626102 + ... + 587631789.

Almost surely, 23342433442004 is an apocalyptic number.

It is an amenable number.

3342433442004 is an abundant number, since it is smaller than the sum of its proper divisors (5213444011756).

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

3342433442004 is a wasteful number, since it uses less digits than its factorization.

3342433442004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175257980 (or 1175257975 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 3342433442004 its reverse (4002443342433), we get a palindrome (7344876784437).

The spelling of 3342433442004 in words is "three trillion, three hundred forty-two billion, four hundred thirty-three million, four hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 1175257891 2350515782 3525773673 4701031564 7051547346 10577321019 14103094692 21154642038 42309284076 92845373389 185690746778 278536120167 371381493556 557072240334 835608360501 1114144480668 1671216721002 3342433442004