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1429251333169 = 11225124332
BaseRepresentation
bin10100110011000110000…
…001001001110000110001
312001122010222112111000211
4110303012001021300301
5141404101320130134
63012331120144121
7205155115611532
oct24630601116061
95048128474024
101429251333169
11501162131900
121b0bb9468041
13a4a15b5023a
144d26744c689
15272a11a1764
hex14cc6049c31

1429251333169 has 27 divisors (see below), whose sum is σ = 1580930238027. Its totient is φ = 1291154040000.

The previous prime is 1429251333149. The next prime is 1429251333193. The reversal of 1429251333169 is 9613331529241.

The square root of 1429251333169 is 1195513.

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., 160276119025 + 1268975214144 = 400345^2 + 1126488^2 .

It is not a de Polignac number, because 1429251333169 - 221 = 1429249236017 is a prime.

It is a super-2 number, since 2×14292513331692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1429251333149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3300811177 + ... + 3300811609.

Almost surely, 21429251333169 is an apocalyptic number.

1429251333169 is the 1195513-rd square number.

1429251333169 is the 597757-th centered octagonal number.

It is an amenable number.

1429251333169 is a deficient number, since it is larger than the sum of its proper divisors (151678904858).

1429251333169 is an frugal number, since it uses more digits than its factorization.

1429251333169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 695 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 49.

Multiplying 1429251333169 by its sum of digits (49), we get a square (70033315325281 = 83685912).

The spelling of 1429251333169 in words is "one trillion, four hundred twenty-nine billion, two hundred fifty-one million, three hundred thirty-three thousand, one hundred sixty-nine".

Divisors: 1 11 121 251 433 2761 4763 30371 52393 63001 108683 187489 693011 1195513 2062379 7623121 13150643 22686169 27279433 47059739 300073763 517657129 3300811393 5694228419 11811994489 129931939379 1429251333169