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31444343140 = 22577914919081
BaseRepresentation
bin11101010010001110…
…101001100101100100
310000011102002010200111
4131102032221211210
51003344222440030
622240105222404
72162135335540
oct352216514544
9100142063614
1031444343140
111237656a451
126116791a04
132c7169b202
1417441c0a20
15c4082c62a
hex7523a9964

31444343140 has 96 divisors (see below), whose sum is σ = 76938624000. Its totient is φ = 10572456960.

The previous prime is 31444343123. The next prime is 31444343141. The reversal of 31444343140 is 4134344413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (31444343141) by changing a digit.

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, 1638400 + ... + 1657480.

It is an arithmetic number, because the mean of its divisors is an integer number (801444000).

Almost surely, 231444343140 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 31444343140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38469312000).

31444343140 is an abundant number, since it is smaller than the sum of its proper divisors (45494280860).

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

31444343140 is a wasteful number, since it uses less digits than its factorization.

31444343140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19325 (or 19323 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 31444343140 its reverse (4134344413), we get a palindrome (35578687553).

The spelling of 31444343140 in words is "thirty-one billion, four hundred forty-four million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 149 158 298 316 395 553 596 745 790 1043 1106 1490 1580 2086 2212 2765 2980 4172 5215 5530 10430 11060 11771 19081 20860 23542 38162 47084 58855 76324 82397 95405 117710 133567 164794 190810 235420 267134 329588 381620 411985 534268 667835 823970 1335670 1507399 1647940 2671340 2843069 3014798 5686138 6029596 7536995 10551793 11372276 14215345 15073990 19901483 21103586 28430690 30147980 39802966 42207172 52758965 56861380 79605932 99507415 105517930 199014830 211035860 224602451 398029660 449204902 898409804 1123012255 1572217157 2246024510 3144434314 4492049020 6288868628 7861085785 15722171570 31444343140