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31044141405 = 345174508953
BaseRepresentation
bin11100111010011000…
…000000000101011101
32222010112000210010000
4130322120000011131
51002034300011110
622132251404513
72146205563614
oct347230000535
988115023100
1031044141405
1112190676a12
126024753739
132c097b8b54
141706da687b
15c1a6291c0
hex73a60015d

31044141405 has 40 divisors (see below), whose sum is σ = 58923010872. Its totient is φ = 15582938112.

The previous prime is 31044141391. The next prime is 31044141407. The reversal of 31044141405 is 50414144013.

31044141405 is a `hidden beast` number, since 3 + 104 + 414 + 140 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1392334596 + 29651806809 = 37314^2 + 172197^2 .

It is not a de Polignac number, because 31044141405 - 24 = 31044141389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31044141407) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2247592 + ... + 2261361.

Almost surely, 231044141405 is an apocalyptic number.

It is an amenable number.

31044141405 is a deficient number, since it is larger than the sum of its proper divisors (27878869467).

31044141405 is a wasteful number, since it uses less digits than its factorization.

31044141405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4508987 (or 4508978 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 31044141405 its reverse (50414144013), we get a palindrome (81458285418).

The spelling of 31044141405 in words is "thirty-one billion, forty-four million, one hundred forty-one thousand, four hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 6885 4508953 13526859 22544765 40580577 67634295 76652201 121741731 202902885 229956603 365225193 383261005 608708655 689869809 1149783015 1826125965 2069609427 3449349045 6208828281 10348047135 31044141405