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34434446636142 = 23272391143469703
BaseRepresentation
bin1111101010001011001001…
…11101011011010001101110
311111220220022210101020211200
413311011210331123101232
514003133221314324032
6201122544424230330
710152543455025060
oct765054475332156
9144826283336750
1034434446636142
11aa76626470653
123a4176260b3a6
13162a20124c347
148708c96b1730
153eaabb85347c
hex1f5164f5b46e

34434446636142 has 48 divisors (see below), whose sum is σ = 85623011435520. Its totient is φ = 9797248406736.

The previous prime is 34434446636129. The next prime is 34434446636147. The reversal of 34434446636142 is 24163664443443.

It is a happy number.

34434446636142 is a `hidden beast` number, since 3 + 4 + 4 + 3 + 4 + 4 + 466 + 36 + 142 = 666.

It is a super-2 number, since 2×344344466361422 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34434446636147) 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, 571704738 + ... + 571764965.

It is an arithmetic number, because the mean of its divisors is an integer number (1783812738240).

Almost surely, 234434446636142 is an apocalyptic number.

34434446636142 is an abundant number, since it is smaller than the sum of its proper divisors (51188564799378).

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

34434446636142 is a wasteful number, since it uses less digits than its factorization.

34434446636142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143469957 (or 1143469954 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 34434446636142 in words is "thirty-four trillion, four hundred thirty-four billion, four hundred forty-six million, six hundred thirty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 478 717 1434 1673 2151 3346 4302 5019 10038 15057 30114 1143469703 2286939406 3430409109 6860818218 8004287921 10291227327 16008575842 20582454654 24012863763 48025727526 72038591289 144077182578 273289259017 546578518034 819867777051 1639735554102 1913024813119 2459603331153 3826049626238 4919206662306 5739074439357 11478148878714 17217223318071 34434446636142