Search a number
-
+
31533144144 = 24317131294989
BaseRepresentation
bin11101010111100001…
…011001100001010000
310000101121011200202120
4131113201121201100
51004034441103034
622253000414240
72164264205565
oct352741314120
9100347150676
1031533144144
1112411701a07
126140477380
132c86bc0498
141751cd886c
15c4851dc49
hex757859850

31533144144 has 80 divisors (see below), whose sum is σ = 86911133760. Its totient is φ = 9817200640.

The previous prime is 31533144103. The next prime is 31533144151. The reversal of 31533144144 is 44144133513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40599 + ... + 254390.

It is an arithmetic number, because the mean of its divisors is an integer number (1086389172).

Almost surely, 231533144144 is an apocalyptic number.

31533144144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31533144144 is an abundant number, since it is smaller than the sum of its proper divisors (55377989616).

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

31533144144 is a wasteful number, since it uses less digits than its factorization.

31533144144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295148 (or 295142 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

Adding to 31533144144 its reverse (44144133513), we get a palindrome (75677277657).

The spelling of 31533144144 in words is "thirty-one billion, five hundred thirty-three million, one hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 131 136 204 262 272 393 408 524 786 816 1048 1572 2096 2227 3144 4454 6288 6681 8908 13362 17816 26724 35632 53448 106896 294989 589978 884967 1179956 1769934 2359912 3539868 4719824 5014813 7079736 10029626 14159472 15044439 20059252 30088878 38643559 40118504 60177756 77287118 80237008 115930677 120355512 154574236 231861354 240711024 309148472 463722708 618296944 656940503 927445416 1313881006 1854890832 1970821509 2627762012 3941643018 5255524024 7883286036 10511048048 15766572072 31533144144