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3423311042364 = 2232712389560621
BaseRepresentation
bin110001110100001101001…
…111010001011100111100
3110010021011102200021221100
4301310031033101130330
5422041420111323424
611140351500133100
7502216560514533
oct61641517213474
913107142607840
103423311042364
1110aa8aa924244
12473563b37190
131baa807c3325
14bb990dd331a
155e0ac8dcdc9
hex31d0d3d173c

3423311042364 has 72 divisors (see below), whose sum is σ = 8778936872160. Its totient is φ = 1124558870400.

The previous prime is 3423311042341. The next prime is 3423311042399. The reversal of 3423311042364 is 4632401133243.

It is a happy number.

3423311042364 is a `hidden beast` number, since 34 + 2 + 33 + 110 + 423 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5825974 + ... + 6386594.

It is an arithmetic number, because the mean of its divisors is an integer number (121929678780).

Almost surely, 23423311042364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423311042364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4389468436080).

3423311042364 is an abundant number, since it is smaller than the sum of its proper divisors (5355625829796).

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

3423311042364 is a wasteful number, since it uses less digits than its factorization.

3423311042364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563091 (or 563086 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 3423311042364 in words is "three trillion, four hundred twenty-three billion, three hundred eleven million, forty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2389 2556 4778 7167 9556 14334 21501 28668 43002 86004 169619 339238 508857 560621 678476 1017714 1121242 1526571 1681863 2035428 2242484 3053142 3363726 5045589 6106284 6727452 10091178 20182356 39804091 79608182 119412273 159216364 238824546 358236819 477649092 716473638 1339323569 1432947276 2678647138 4017970707 5357294276 8035941414 12053912121 16071882828 24107824242 48215648484 95091973399 190183946798 285275920197 380367893596 570551840394 855827760591 1141103680788 1711655521182 3423311042364