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42860937840 = 2435752348781
BaseRepresentation
bin100111111010101101…
…100000001001110000
311002122001102020102020
4213322231200021300
51200234400002330
631405014351440
73045063650310
oct477255401160
9132561366366
1042860937840
11171a4977a86
12838205b580
1340709c75a6
142108535440
1511acc5c210
hex9fab60270

42860937840 has 160 divisors (see below), whose sum is σ = 152143643136. Its totient is φ = 9777853440.

The previous prime is 42860937839. The next prime is 42860937887. The reversal of 42860937840 is 4873906824.

It is a congruent number.

It is an unprimeable number.

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, 854250 + ... + 903030.

Almost surely, 242860937840 is an apocalyptic number.

42860937840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42860937840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76071821568).

42860937840 is an abundant number, since it is smaller than the sum of its proper divisors (109282705296).

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

42860937840 is a wasteful number, since it uses less digits than its factorization.

42860937840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49327 (or 49321 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

It can be divided in two parts, 42860 and 937840, that added together give a triangular number (980700 = T1400).

The spelling of 42860937840 in words is "forty-two billion, eight hundred sixty million, nine hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 523 560 840 1046 1569 1680 2092 2615 3138 3661 4184 5230 6276 7322 7845 8368 10460 10983 12552 14644 15690 18305 20920 21966 25104 29288 31380 36610 41840 43932 48781 54915 58576 62760 73220 87864 97562 109830 125520 146343 146440 175728 195124 219660 243905 292686 292880 341467 390248 439320 487810 585372 682934 731715 780496 878640 975620 1024401 1170744 1365868 1463430 1707335 1951240 2048802 2341488 2731736 2926860 3414670 3902480 4097604 5122005 5463472 5853720 6829340 8195208 10244010 11707440 13658680 16390416 20488020 25512463 27317360 40976040 51024926 76537389 81952080 102049852 127562315 153074778 178587241 204099704 255124630 306149556 357174482 382686945 408199408 510249260 535761723 612299112 714348964 765373890 892936205 1020498520 1071523446 1224598224 1428697928 1530747780 1785872410 2040997040 2143046892 2678808615 2857395856 3061495560 3571744820 4286093784 5357617230 6122991120 7143489640 8572187568 10715234460 14286979280 21430468920 42860937840