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31324142000040 = 23357571661920749
BaseRepresentation
bin1110001111101001110000…
…10110110101011110101000
311002220120002022110212211220
413013310320112311132220
513101203320323000130
6150342040121422040
76412044303601431
oct707647026653650
9132816068425756
1031324142000040
119a875485a419a
12361a9b393a920
131462b140904c6
147a414cd76488
15394c2d3de410
hex1c7d385b57a8

31324142000040 has 128 divisors (see below), whose sum is σ = 94106761200000. Its totient is φ = 8341166066688.

The previous prime is 31324141999967. The next prime is 31324142000059. The reversal of 31324142000040 is 4000024142313.

It is a super-3 number, since 3×313241420000403 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1509659586 + ... + 1509680334.

It is an arithmetic number, because the mean of its divisors is an integer number (735209071875).

Almost surely, 231324142000040 is an apocalyptic number.

31324142000040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31324142000040 is an abundant number, since it is smaller than the sum of its proper divisors (62782619199960).

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

31324142000040 is a wasteful number, since it uses less digits than its factorization.

31324142000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38139 (or 38135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31324142000040 its reverse (4000024142313), we get a palindrome (35324166142353).

The spelling of 31324142000040 in words is "thirty-one trillion, three hundred twenty-four billion, one hundred forty-two million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 757 1514 2271 3028 3785 4542 6056 7570 9084 11355 15140 16619 18168 20749 22710 30280 33238 41498 45420 49857 62247 66476 82996 83095 90840 99714 103745 124494 132952 165992 166190 199428 207490 248988 249285 311235 332380 398856 414980 497976 498570 622470 664760 829960 997140 1244940 1994280 2489880 12580583 15706993 25161166 31413986 37741749 47120979 50322332 62827972 62902915 75483498 78534965 94241958 100644664 125655944 125805830 150966996 157069930 188483916 188708745 235604895 251611660 301933992 314139860 344827631 376967832 377417490 471209790 503223320 628279720 689655262 754834980 942419580 1034482893 1379310524 1509669960 1724138155 1884839160 2068965786 2758621048 3448276310 4137931572 5172414465 6896552620 8275863144 10344828930 13793105240 20689657860 41379315720 261034516667 522069033334 783103550001 1044138066668 1305172583335 1566207100002 2088276133336 2610345166670 3132414200004 3915517750005 5220690333340 6264828400008 7831035500010 10441380666680 15662071000020 31324142000040