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1430426344401 = 321061639723417
BaseRepresentation
bin10100110100001100000…
…011011101101111010001
312001202011212112020102100
4110310030003131233101
5141414003121010101
63013043452511013
7205226204212335
oct24641403355721
95052155466370
101430426344401
1150170542016a
121b1286a7b469
13a4b72405662
144d3395157c5
152731e402e86
hex14d0c0ddbd1

1430426344401 has 24 divisors (see below), whose sum is σ = 2068530393384. Its totient is φ = 952529160960.

The previous prime is 1430426344367. The next prime is 1430426344447. The reversal of 1430426344401 is 1044436240341.

1430426344401 is a `hidden beast` number, since 1 + 4 + 304 + 2 + 6 + 344 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10572980625 + 1419853363776 = 102825^2 + 1191576^2 .

It is not a de Polignac number, because 1430426344401 - 219 = 1430425820113 is a prime.

It is a super-2 number, since 2×14304263444012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1430426344471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61073245 + ... + 61096661.

It is an arithmetic number, because the mean of its divisors is an integer number (86188766391).

Almost surely, 21430426344401 is an apocalyptic number.

It is an amenable number.

1430426344401 is a deficient number, since it is larger than the sum of its proper divisors (638104048983).

1430426344401 is a wasteful number, since it uses less digits than its factorization.

1430426344401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30881 (or 30878 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 1430426344401 in words is "one trillion, four hundred thirty billion, four hundred twenty-six million, three hundred forty-four thousand, four hundred one".

Divisors: 1 3 9 1061 3183 6397 9549 19191 23417 57573 70251 210753 6787217 20361651 24845437 61084953 74536311 149798549 223608933 449395647 1348186941 158936260489 476808781467 1430426344401