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31441444122 = 23117310496221
BaseRepresentation
bin11101010010000011…
…100101110100011010
310000011012121211222110
4131102003211310122
51003343002202442
622235523133150
72162101602564
oct352203456432
9100135554873
1031441444122
111237496a370
1261158141b6
132c70bc480a
141743a68334
15c4045869c
hex7520e5d1a

31441444122 has 64 divisors (see below), whose sum is σ = 69616713600. Its totient is φ = 9386726400.

The previous prime is 31441444091. The next prime is 31441444183. The reversal of 31441444122 is 22144414413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 31441444122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5050972 + ... + 5057192.

It is an arithmetic number, because the mean of its divisors is an integer number (1087761150).

Almost surely, 231441444122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31441444122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34808356800).

31441444122 is an abundant number, since it is smaller than the sum of its proper divisors (38175269478).

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

31441444122 is a wasteful number, since it uses less digits than its factorization.

31441444122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359.

The product of its digits is 12288, while the sum is 30.

Adding to 31441444122 its reverse (22144414413), we get a palindrome (53585858535).

The spelling of 31441444122 in words is "thirty-one billion, four hundred forty-one million, four hundred forty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 803 1049 1606 2098 2409 3147 4818 6221 6294 11539 12442 18663 23078 34617 37326 68431 69234 76577 136862 153154 205293 229731 410586 454133 459462 842347 908266 1362399 1684694 2527041 2724798 4995463 5054082 6525829 9990926 13051658 14986389 19577487 29972778 39154974 71784119 143568238 215352357 430704714 476385517 952771034 1429156551 2858313102 5240240687 10480481374 15720722061 31441444122