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434120504601 = 37531135576197
BaseRepresentation
bin1100101000100111001…
…10010011010100011001
31112111112121022121001110
412110103212103110121
524103034322121401
6531233205010533
743235624255550
oct6242346232431
91474477277043
10434120504601
11158122786533
12701760b3a49
1331c25597634
141702396cd97
15b45c14c9d6
hex6513993519

434120504601 has 64 divisors (see below), whose sum is σ = 681293680128. Its totient is φ = 240762482688.

The previous prime is 434120504569. The next prime is 434120504603. The reversal of 434120504601 is 106405021434.

It is not a de Polignac number, because 434120504601 - 25 = 434120504569 is a prime.

It is a super-2 number, since 2×4341205046012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (434120504603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70050235 + ... + 70056431.

It is an arithmetic number, because the mean of its divisors is an integer number (10645213752).

Almost surely, 2434120504601 is an apocalyptic number.

It is an amenable number.

434120504601 is a deficient number, since it is larger than the sum of its proper divisors (247173175527).

434120504601 is a wasteful number, since it uses less digits than its factorization.

434120504601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6930.

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 434120504601 in words is "four hundred thirty-four billion, one hundred twenty million, five hundred four thousand, six hundred one".

Divisors: 1 3 7 21 53 113 159 339 371 557 791 1113 1671 2373 3899 5989 6197 11697 17967 18591 29521 41923 43379 62941 88563 125769 130137 188823 206647 328441 440587 619941 700261 985323 1321761 2100783 2299087 3335873 3451729 4901827 6897261 10007619 10355187 14705481 23351111 24162103 37113833 70053333 72486309 111341499 182941637 259796831 390045377 548824911 779390493 1170136131 1280591459 2730317639 3841774377 8190952917 20672404981 62017214943 144706834867 434120504601