Search a number
-
+
34516121024 = 267117004083
BaseRepresentation
bin100000001001010100…
…100011010111000000
310022002111011121202202
4200021110203113000
51031142111333044
623505000132332
72331225121310
oct401124432700
9108074147682
1034516121024
11137024a5660
1268334670a8
133340bc4568
14195614d440
15d7034dc4e
hex8095235c0

34516121024 has 56 divisors (see below), whose sum is σ = 85393792128. Its totient is φ = 13447837440.

The previous prime is 34516120997. The next prime is 34516121063. The reversal of 34516121024 is 42012161543.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×345161210242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3497114 + ... + 3506969.

Almost surely, 234516121024 is an apocalyptic number.

It is an amenable number.

34516121024 is an abundant number, since it is smaller than the sum of its proper divisors (50877671104).

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

34516121024 is a wasteful number, since it uses less digits than its factorization.

34516121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7004113 (or 7004103 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 34516121024 its reverse (42012161543), we get a palindrome (76528282567).

The spelling of 34516121024 in words is "thirty-four billion, five hundred sixteen million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 7004083 14008166 28016332 49028581 56032664 77044913 98057162 112065328 154089826 196114324 224130656 308179652 392228648 448261312 539314391 616359304 784457296 1078628782 1232718608 1568914592 2157257564 2465437216 3137829184 4314515128 4930874432 8629030256 17258060512 34516121024