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31443501858504 = 2332957188618929
BaseRepresentation
bin1110010011001000000101…
…10000100011111011001000
311010022222011201002221020120
413021210002300203323020
513110132242433433004
6150512540105423240
76423501200630121
oct711440260437310
9133288151087216
1031443501858504
11a02312908351a
123639b6519ab20
131471156765ba8
147a9c33287048
15397db70983d9
hex1c9902c23ec8

31443501858504 has 128 divisors (see below), whose sum is σ = 81480134736000. Its totient is φ = 10099753574400.

The previous prime is 31443501858473. The next prime is 31443501858551. The reversal of 31443501858504 is 40585810534413.

It is a super-4 number, since 4×314435018585044 (a number of 55 digits) contains 4444 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3521498712 + ... + 3521507640.

It is an arithmetic number, because the mean of its divisors is an integer number (636563552625).

Almost surely, 231443501858504 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 31443501858504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40740067368000).

31443501858504 is an abundant number, since it is smaller than the sum of its proper divisors (50036632877496).

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

31443501858504 is a wasteful number, since it uses less digits than its factorization.

31443501858504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18399 (or 18395 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 31443501858504 in words is "thirty-one trillion, four hundred forty-three billion, five hundred one million, eight hundred fifty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 571 696 1142 1713 2284 3426 4568 6852 8861 8929 13704 16559 17722 17858 26583 26787 33118 35444 35716 49677 53166 53574 66236 70888 71432 99354 106332 107148 132472 198708 212664 214296 256969 258941 397416 513938 517882 770907 776823 1027876 1035764 1541814 1553646 2055752 2071528 3083628 3107292 5059631 5098459 6167256 6214584 10119262 10196918 15178893 15295377 20238524 20393836 30357786 30590754 40477048 40787672 60715572 61181508 79119869 121431144 122363016 146729299 147855311 158239738 237359607 293458598 295710622 316479476 440187897 443565933 474719214 586917196 591421244 632958952 880375794 887131866 949438428 1173834392 1182842488 1760751588 1774263732 1898876856 2294476201 3521503176 3548527464 4588952402 6883428603 9177904804 13766857206 18355809608 27533714412 45177445199 55067428824 90354890398 135532335597 180709780796 271064671194 361419561592 542129342388 1084258684776 1310145910771 2620291821542 3930437732313 5240583643084 7860875464626 10481167286168 15721750929252 31443501858504