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34433345303140 = 22578910837255007
BaseRepresentation
bin1111101010001001000110…
…10100001011001001100100
311111220210111001000201222111
413311010203110023021210
514003123442344200030
6201122243243010404
710152504252610510
oct765044324131144
9144823431021874
1034433345303140
11aa76110825893
123a414b5809a04
13162a087022a04
14870823307140
153eaa54d0762a
hex1f512350b264

34433345303140 has 96 divisors (see below), whose sum is σ = 83576607528960. Its totient is φ = 11671946947584.

The previous prime is 34433345303087. The next prime is 34433345303177. The reversal of 34433345303140 is 4130354333443.

It is a junction number, because it is equal to n+sod(n) for n = 34433345303093 and 34433345303102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134901517 + ... + 135156523.

It is an arithmetic number, because the mean of its divisors is an integer number (870589661760).

Almost surely, 234433345303140 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 34433345303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41788303764480).

34433345303140 is an abundant number, since it is smaller than the sum of its proper divisors (49143262225820).

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

34433345303140 is a wasteful number, since it uses less digits than its factorization.

34433345303140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265949 (or 265947 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 40.

Adding to 34433345303140 its reverse (4130354333443), we get a palindrome (38563699636583).

The spelling of 34433345303140 in words is "thirty-four trillion, four hundred thirty-three billion, three hundred forty-five million, three hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 3115 6230 10837 12460 21674 43348 54185 75859 108370 151718 216740 255007 303436 379295 510014 758590 964493 1020028 1275035 1517180 1785049 1928986 2550070 3570098 3857972 4822465 5100140 6751451 7140196 8925245 9644930 13502902 17850490 19289860 22695623 27005804 33757255 35700980 45391246 67514510 90782492 113478115 135029020 158869361 226956230 317738722 453912460 635477444 794346805 1588693610 2763510859 3177387220 5527021718 11054043436 13817554295 19344576013 27635108590 38689152026 55270217180 77378304052 96722880065 193445760130 245952466451 386891520260 491904932902 983809865804 1229762332255 1721667265157 2459524664510 3443334530314 4919049329020 6886669060628 8608336325785 17216672651570 34433345303140