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31404221344 = 252378754217
BaseRepresentation
bin11101001111110101…
…100110001110100000
310000001121120201221001
4131033311212032200
51003303440040334
622232113241344
72161140322426
oct351765461640
9100047521831
1031404221344
1112355956341
126105263254
132c662910c2
14173cb39116
15c3c054714
hex74fd663a0

31404221344 has 48 divisors (see below), whose sum is σ = 64598361408. Its totient is φ = 15000049152.

The previous prime is 31404221311. The next prime is 31404221377. The reversal of 31404221344 is 44312240413.

It is an interprime number because it is at equal distance from previous prime (31404221311) and next prime (31404221377).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 552124 + ... + 606340.

It is an arithmetic number, because the mean of its divisors is an integer number (1345799196).

Almost surely, 231404221344 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 31404221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32299180704).

31404221344 is an abundant number, since it is smaller than the sum of its proper divisors (33194140064).

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

31404221344 is a wasteful number, since it uses less digits than its factorization.

31404221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55037 (or 55029 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31404221344 its reverse (44312240413), we get a palindrome (75716461757).

The spelling of 31404221344 in words is "thirty-one billion, four hundred four million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 787 1574 3148 6296 12592 18101 25184 36202 54217 72404 108434 144808 216868 289616 433736 579232 867472 1246991 1734944 2493982 4987964 9975928 19951856 39903712 42668779 85337558 170675116 341350232 682700464 981381917 1365400928 1962763834 3925527668 7851055336 15702110672 31404221344