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31144232044404 = 22327332110155933
BaseRepresentation
bin1110001010011010101001…
…11000110100011101110100
311002021100201002011012020200
413011031110320310131310
513040231341400410104
6150123243535000500
76363045050320353
oct705152470643564
9132240632135220
1031144232044404
119a18216073746
1235abb64369130
13144bb71cb515b
147995630d999a
153901eda70b39
hex1c5354e34774

31144232044404 has 72 divisors (see below), whose sum is σ = 78838245186792. Its totient is φ = 10366571116800.

The previous prime is 31144232044333. The next prime is 31144232044439. The reversal of 31144232044404 is 40444023244113.

31144232044404 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 4 + 2 + 3 + 204 + 440 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5071954410000 + 26072277634404 = 2252100^2 + 5106102^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556785222 + ... + 556841154.

Almost surely, 231144232044404 is an apocalyptic number.

It is an amenable number.

31144232044404 is an abundant number, since it is smaller than the sum of its proper divisors (47694013142388).

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

31144232044404 is a wasteful number, since it uses less digits than its factorization.

31144232044404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77777 (or 77772 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 31144232044404 its reverse (40444023244113), we get a palindrome (71588255288517).

The spelling of 31144232044404 in words is "thirty-one trillion, one hundred forty-four billion, two hundred thirty-two million, forty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 733 1466 2199 2932 4398 6597 8796 13194 21101 26388 42202 55933 63303 84404 111866 126606 167799 189909 223732 253212 335598 379818 503397 671196 759636 1006794 2013588 15467033 30934066 40998889 46401099 61868132 81997778 92802198 122996667 139203297 163995556 185604396 245993334 278406594 368990001 491986668 556813188 737980002 1180242233 1475960004 2360484466 3540726699 4720968932 7081453398 10622180097 14162906796 21244360194 42488720388 865117556789 1730235113578 2595352670367 3460470227156 5190705340734 7786058011101 10381410681468 15572116022202 31144232044404