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1334420039241 = 323850572
BaseRepresentation
bin10011011010110001101…
…000011110011001001001
311201120101000201121120100
4103122301220132121021
5133330343012223431
62501005112320013
7165260113120122
oct23326150363111
94646330647510
101334420039241
11474a19362113
121967526a3009
1398ab211a773
144882ca47049
1524aa0ae54e6
hex136b1a1e649

1334420039241 has 9 divisors (see below), whose sum is σ = 1927500617991. Its totient is φ = 889611049152.

The previous prime is 1334420039231. The next prime is 1334420039257. The reversal of 1334420039241 is 1429300244331.

The square root of 1334420039241 is 1155171.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30932015625 + 1303488023616 = 175875^2 + 1141704^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1334420039241 - 29 = 1334420038729 is a prime.

It is a super-2 number, since 2×13344200392412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1334420039196 and 1334420039205.

It is not an unprimeable number, because it can be changed into a prime (1334420039221) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3272985 + ... + 3658041.

Almost surely, 21334420039241 is an apocalyptic number.

1334420039241 is the 1155171-st square number.

1334420039241 is the 577586-th centered octagonal number.

It is an amenable number.

1334420039241 is a deficient number, since it is larger than the sum of its proper divisors (593080578750).

1334420039241 is an frugal number, since it uses more digits than its factorization.

1334420039241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770120 (or 385060 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Multiplying 1334420039241 by its sum of digits (36), we get a square (48039121412676 = 69310262).

The spelling of 1334420039241 in words is "one trillion, three hundred thirty-four billion, four hundred twenty million, thirty-nine thousand, two hundred forty-one".

Divisors: 1 3 9 385057 1155171 3465513 148268893249 444806679747 1334420039241