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31434033144 = 23312758717569
BaseRepresentation
bin11101010001100111…
…010100011111111000
310000010200200100000210
4131101213110133320
51003334103030034
622235100231120
72161651605333
oct352147243770
9100120610023
1031434033144
1112370768398
12611323b4a0
132c6c4cb517
141742a9961a
15c3e9928e9
hex7519d47f8

31434033144 has 64 divisors (see below), whose sum is σ = 79343308800. Its totient is φ = 10377206784.

The previous prime is 31434033083. The next prime is 31434033149. The reversal of 31434033144 is 44133043413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434033149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780392 + ... + 1797960.

It is an arithmetic number, because the mean of its divisors is an integer number (1239739200).

Almost surely, 231434033144 is an apocalyptic number.

It is an amenable number.

31434033144 is an abundant number, since it is smaller than the sum of its proper divisors (47909275656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31434033144 is a wasteful number, since it uses less digits than its factorization.

31434033144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18292 (or 18288 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 31434033144 its reverse (44133043413), we get a palindrome (75567076557).

The spelling of 31434033144 in words is "thirty-one billion, four hundred thirty-four million, thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 587 762 1016 1174 1524 1761 2348 3048 3522 4696 7044 14088 17569 35138 52707 70276 74549 105414 140552 149098 210828 223647 298196 421656 447294 596392 894588 1789176 2231263 4462526 6693789 8925052 10313003 13387578 17850104 20626006 26775156 30939009 41252012 53550312 61878018 82504024 123756036 247512072 1309751381 2619502762 3929254143 5239005524 7858508286 10478011048 15717016572 31434033144