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430541145034 = 2711131634572887
BaseRepresentation
bin1100100001111100100…
…00001000001111001010
31112011022011010021210121
412100332100020033022
524023222013120114
6525442102533454
743051132231120
oct6207620101712
91464264107717
10430541145034
11156656285730
126b53743728a
13317a4b632b0
1416ba4433910
15b2eccb6a24
hex643e4083ca

430541145034 has 128 divisors (see below), whose sum is σ = 874635374592. Its totient is φ = 153500106240.

The previous prime is 430541145007. The next prime is 430541145071.

430541145034 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4305411450342 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149129539 + ... + 149132425.

It is an arithmetic number, because the mean of its divisors is an integer number (6833088864).

Almost surely, 2430541145034 is an apocalyptic number.

430541145034 is an abundant number, since it is smaller than the sum of its proper divisors (444094229558).

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

430541145034 is a wasteful number, since it uses less digits than its factorization.

430541145034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540.

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 430541 and 145034, that added together give a palindrome (575575).

The spelling of 430541145034 in words is "four hundred thirty billion, five hundred forty-one million, one hundred forty-five thousand, thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 163 182 286 326 457 914 1001 1141 1793 2002 2119 2282 2887 3199 3586 4238 5027 5774 5941 6398 10054 11882 12551 14833 20209 23309 25102 29666 31757 35189 37531 40418 41587 46618 63514 65351 70378 74491 75062 83174 130702 148982 163163 222299 262717 326326 412841 444598 457457 470581 521437 525434 819401 825682 914914 941162 968383 1042874 1319359 1638802 1936766 2638718 2889887 3294067 5176391 5735807 5779774 6117553 6588134 6778681 9235513 10352782 10652213 11471614 12235106 13557362 14512949 17151667 18471026 21304426 29025898 34303334 36234737 42822871 67293083 72469474 74565491 85645742 101590643 120061669 134586166 149130982 188668337 203181286 215055517 240123338 377336674 430111034 471051581 942103162 1320678359 1505388619 2365610687 2641356718 2795721721 3010777238 4731221374 5591443442 16559274809 19570052047 30752938931 33118549618 39140104094 61505877862 215270572517 430541145034