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42984622120 = 23511735632377
BaseRepresentation
bin101000000010000101…
…010100100000101000
311002221200011001100111
4220002011110200220
51201013030401440
631425153344104
73051125155006
oct500205244050
9132850131314
1042984622120
11172587758a0
1283b7568034
13409051145b
14211ab2da76
1511b8a3e4ea
hexa02154828

42984622120 has 128 divisors (see below), whose sum is σ = 107188064640. Its totient is φ = 15382794240.

The previous prime is 42984622081. The next prime is 42984622151. The reversal of 42984622120 is 2122648924.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 18082372 + ... + 18084748.

It is an arithmetic number, because the mean of its divisors is an integer number (837406755).

Almost surely, 242984622120 is an apocalyptic number.

42984622120 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 42984622120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53594032320).

42984622120 is an abundant number, since it is smaller than the sum of its proper divisors (64203442520).

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

42984622120 is a wasteful number, since it uses less digits than its factorization.

42984622120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3031 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 42984622120 in words is "forty-two billion, nine hundred eighty-four million, six hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 563 584 730 803 1126 1460 1606 2252 2377 2815 2920 3212 4015 4504 4754 5630 6193 6424 8030 9508 11260 11885 12386 16060 19016 22520 23770 24772 26147 30965 32120 41099 47540 49544 52294 61930 82198 95080 104588 123860 130735 164396 173521 205495 209176 247720 261470 328792 347042 410990 452089 522940 694084 821980 867605 904178 1045880 1338251 1388168 1643960 1735210 1808356 1908731 2260445 2676502 3470420 3616712 3817462 4520890 5353004 6691255 6940840 7634924 9041780 9543655 10706008 13382510 14720761 15269848 18083560 19087310 26765020 29441522 38174620 53530040 58883044 73603805 76349240 97692323 117766088 147207610 195384646 294415220 390769292 488461615 588830440 781538584 976923230 1074615553 1953846460 2149231106 3907692920 4298462212 5373077765 8596924424 10746155530 21492311060 42984622120