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34430011003443 = 3112619182384053
BaseRepresentation
bin1111101010000010111001…
…00100110101001000110011
311111220110212122221202200010
413311001130210311020303
514003100130304102233
6201120532333230003
710152325524541236
oct765013444651063
9144813778852603
1034430011003443
11aa7475a694100
123a40925032303
1316299752c1603
148705c855d41d
153ea90c22bb63
hex1f505c935233

34430011003443 has 48 divisors (see below), whose sum is σ = 50569253360640. Its totient is φ = 20821287474240.

The previous prime is 34430011003439. The next prime is 34430011003541.

34430011003443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34430011003443 - 22 = 34430011003439 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34430011003443.

It is not an unprimeable number, because it can be changed into a prime (34430011003343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409580605 + ... + 409664657.

It is an arithmetic number, because the mean of its divisors is an integer number (1053526111680).

Almost surely, 234430011003443 is an apocalyptic number.

34430011003443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34430011003443 is a deficient number, since it is larger than the sum of its proper divisors (16139242357197).

34430011003443 is a wasteful number, since it uses less digits than its factorization.

34430011003443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86520 (or 86509 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 3443001 and 1003443, that added together give a palindrome (4446444).

The spelling of 34430011003443 in words is "thirty-four trillion, four hundred thirty billion, eleven million, three thousand, four hundred forty-three".

Divisors: 1 3 11 33 121 363 619 1823 1857 5469 6809 20053 20427 60159 74899 84053 220583 224697 252159 661749 924583 1128437 2773749 3385311 10170413 12412807 30511239 37238421 52028807 136540877 153228619 156086421 409622631 459685857 572316877 1685514809 1716950631 5056544427 6295485647 18540662899 18886456941 55621988697 94848515161 284545545483 1043333666771 3130001000313 11476670334481 34430011003443