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31431012144 = 243796796737
BaseRepresentation
bin11101010001011011…
…110010111100110000
310000010110222211222220
4131101123302330300
51003332314342034
622234511401040
72161614123630
oct352133627460
9100113884886
1031431012144
1112369a946a4
126112223180
132c6b9b144c
1417425106c0
15c3e597749
hex7516f2f30

31431012144 has 80 divisors (see below), whose sum is σ = 92893244928. Its totient is φ = 8970909696.

The previous prime is 31431012131. The next prime is 31431012149. The reversal of 31431012144 is 44121013413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31431012149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276544 + ... + 373280.

Almost surely, 231431012144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31431012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46446622464).

31431012144 is an abundant number, since it is smaller than the sum of its proper divisors (61462232784).

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

31431012144 is a wasteful number, since it uses less digits than its factorization.

31431012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97722 (or 97716 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31431012144 its reverse (44121013413), we get a palindrome (75552025557).

The spelling of 31431012144 in words is "thirty-one billion, four hundred thirty-one million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 967 1934 2901 3868 5802 6769 7736 11604 13538 15472 20307 23208 27076 40614 46416 54152 81228 96737 108304 162456 193474 290211 324912 386948 580422 677159 773896 1160844 1354318 1547792 2031477 2321688 2708636 4062954 4643376 5417272 8125908 10834544 16251816 32503632 93544679 187089358 280634037 374178716 561268074 654812753 748357432 1122536148 1309625506 1496714864 1964438259 2245072296 2619251012 3928876518 4490144592 5238502024 7857753036 10477004048 15715506072 31431012144