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31332241404 = 2232109137167349
BaseRepresentation
bin11101001011100011…
…000000111111111100
32222212121010210000100
4131023203000333330
51003132023211104
622221022401100
72156304441402
oct351343007774
988777123010
1031332241404
1112319262792
1260a5130190
132c543ab319
14173335d472
15c35a87139
hex74b8c0ffc

31332241404 has 144 divisors (see below), whose sum is σ = 81225144000. Its totient is φ = 10181956608.

The previous prime is 31332241373. The next prime is 31332241439. The reversal of 31332241404 is 40414223313.

31332241404 is a `hidden beast` number, since 3 + 1 + 33 + 224 + 1 + 404 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89777022 + ... + 89777370.

It is an arithmetic number, because the mean of its divisors is an integer number (564063500).

Almost surely, 231332241404 is an apocalyptic number.

It is an amenable number.

31332241404 is an abundant number, since it is smaller than the sum of its proper divisors (49892902596).

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

31332241404 is a wasteful number, since it uses less digits than its factorization.

31332241404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31332241404 its reverse (40414223313), we get a palindrome (71746464717).

The spelling of 31332241404 in words is "thirty-one billion, three hundred thirty-two million, two hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 109 137 167 218 274 327 334 349 411 436 501 548 654 668 698 822 981 1002 1047 1233 1308 1396 1503 1644 1962 2004 2094 2466 3006 3141 3924 4188 4932 6012 6282 12564 14933 18203 22879 29866 36406 38041 44799 45758 47813 54609 58283 59732 68637 72812 76082 89598 91516 95626 109218 114123 116566 134397 137274 143439 152164 163827 174849 179196 191252 205911 218436 228246 233132 268794 274548 286878 327654 342369 349698 411822 430317 456492 524547 537588 573756 655308 684738 699396 823644 860634 1049094 1369476 1721268 2098188 2493811 4987622 5211617 6352847 7481433 7984771 9975244 10423234 12705694 14962866 15634851 15969542 19058541 20846468 22444299 23954313 25411388 29925732 31269702 31939084 38117082 44888598 46904553 47908626 57175623 62539404 71862939 76234164 89777196 93809106 95817252 114351246 143725878 187618212 228702492 287451756 870340039 1740680078 2611020117 3481360156 5222040234 7833060351 10444080468 15666120702 31332241404