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31144340441244 = 22329978363110323
BaseRepresentation
bin1110001010011010110110…
…10110010100100010011100
311002021100222122010022202110
413011031123112110202130
513040232102123104434
6150123302410154020
76363050534554212
oct705153326244234
9132240878108673
1031144340441244
119a1827127a908
1235abb94722910
13144bb8b5a88b4
14799573674cb2
153902083334e9
hex1c535b59489c

31144340441244 has 96 divisors (see below), whose sum is σ = 75960774731520. Its totient is φ = 9918855088128.

The previous prime is 31144340441231. The next prime is 31144340441251. The reversal of 31144340441244 is 44214404344113.

31144340441244 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282246267 + ... + 282356589.

It is an arithmetic number, because the mean of its divisors is an integer number (791258070120).

Almost surely, 231144340441244 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 31144340441244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37980387365760).

31144340441244 is an abundant number, since it is smaller than the sum of its proper divisors (44816434290276).

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

31144340441244 is a wasteful number, since it uses less digits than its factorization.

31144340441244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118819 (or 118817 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 39.

Adding to 31144340441244 its reverse (44214404344113), we get a palindrome (75358744785357).

The spelling of 31144340441244 in words is "thirty-one trillion, one hundred forty-four billion, three hundred forty million, four hundred forty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 97 116 174 194 291 348 388 582 1164 2813 5626 8363 8439 11252 16726 16878 25089 33452 33756 50178 100356 110323 220646 242527 330969 441292 485054 661938 727581 811211 970108 1323876 1455162 1622422 2433633 2910324 3199367 3244844 4867266 6398734 9598101 9734532 10701331 12797468 19196202 21402662 23525119 32103993 38392404 42805324 47050238 64207986 70575357 94100476 128415972 141150714 282301428 310338599 620677198 922631249 931015797 1241354396 1845262498 1862031594 2767893747 3690524996 3724063188 5535787494 11071574988 26756306221 53512612442 80268918663 89495231153 107025224884 160537837326 178990462306 268485693459 321075674652 357980924612 536971386918 1073942773836 2595361703437 5190723406874 7786085110311 10381446813748 15572170220622 31144340441244