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31212413344 = 2571092934363
BaseRepresentation
bin11101000100011001…
…111010000110100000
32222120020122212211001
4131010121322012200
51002410334211334
622201102201344
72153321064430
oct350431720640
988506585731
1031212413344
1112267659132
126070b83254
132c35614748
14172148a2c0
15c2a2b7714
hex74467a1a0

31212413344 has 96 divisors (see below), whose sum is σ = 71130407040. Its totient is φ = 13205763072.

The previous prime is 31212413341. The next prime is 31212413387. The reversal of 31212413344 is 44331421213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (31212413341) 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, 7151707 + ... + 7156069.

It is an arithmetic number, because the mean of its divisors is an integer number (740941740).

Almost surely, 231212413344 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 31212413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35565203520).

31212413344 is an abundant number, since it is smaller than the sum of its proper divisors (39917993696).

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

31212413344 is a wasteful number, since it uses less digits than its factorization.

31212413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4774 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

Adding to 31212413344 its reverse (44331421213), we get a palindrome (75543834557).

The spelling of 31212413344 in words is "thirty-one billion, two hundred twelve million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 293 436 586 763 872 1172 1526 1744 2051 2344 3052 3488 4102 4363 4688 6104 8204 8726 9376 12208 16408 17452 24416 30541 31937 32816 34904 61082 63874 65632 69808 122164 127748 139616 223559 244328 255496 447118 475567 488656 510992 894236 951134 977312 1021984 1278359 1788472 1902268 2556718 3328969 3576944 3804536 5113436 6657938 7153888 7609072 8948513 10226872 13315876 15218144 17897026 20453744 26631752 35794052 40907488 53263504 71588104 106527008 139341131 143176208 278682262 286352416 557364524 975387917 1114729048 1950775834 2229458096 3901551668 4458916192 7803103336 15606206672 31212413344