Search a number
-
+
1440156004225 = 5238926172
BaseRepresentation
bin10100111101001111111…
…111001010111110000001
312002200021221121011112121
4110331033333022332001
5142043414414113400
63021333141124241
7206022260025451
oct24751777127601
95080257534477
101440156004225
11505848579644
121b31413b9681
13a5a630ab213
144d9bd7c5d61
15276dd6b021a
hex14f4ffcaf81

1440156004225 has 27 divisors (see below), whose sum is σ = 1793302454587. Its totient is φ = 1147300542080.

The previous prime is 1440156004117. The next prime is 1440156004247. The reversal of 1440156004225 is 5224006510441.

The square root of 1440156004225 is 1200065.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1352738803329 + 87417200896 = 1163073^2 + 295664^2 .

It is not a de Polignac number, because 1440156004225 - 231 = 1438008520577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2334126117 + ... + 2334126733.

Almost surely, 21440156004225 is an apocalyptic number.

1440156004225 is the 1200065-th square number.

1440156004225 is the 600033-rd centered octagonal number.

It is an amenable number.

1440156004225 is a deficient number, since it is larger than the sum of its proper divisors (353146450362).

1440156004225 is an frugal number, since it uses more digits than its factorization.

1440156004225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 1440156004225 in words is "one trillion, four hundred forty billion, one hundred fifty-six million, four thousand, two hundred twenty-five".

Divisors: 1 5 25 389 617 1945 3085 9725 15425 151321 240013 380689 756605 1200065 1903445 3783025 6000325 9517225 93365057 148088021 466825285 740440105 2334126425 3702200525 57606240169 288031200845 1440156004225