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42903987420 = 223572139104987
BaseRepresentation
bin100111111101010001…
…101110010011011100
311002202001102101100010
4213331101232103130
51200331410044140
631413153203220
73046125606300
oct477521562334
9132661371303
1042903987420
1117217200848
128394560510
1340798bb208
14211013dd00
1511b1912880
hex9fd46e4dc

42903987420 has 144 divisors (see below), whose sum is σ = 140751112320. Its totient is φ = 9735981696.

The previous prime is 42903987391. The next prime is 42903987421. The reversal of 42903987420 is 2478930924.

It is a self number, because there is not a number n which added to its sum of digits gives 42903987420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42903987421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356167 + ... + 461153.

It is an arithmetic number, because the mean of its divisors is an integer number (977438280).

Almost surely, 242903987420 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 42903987420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70375556160).

42903987420 is an abundant number, since it is smaller than the sum of its proper divisors (97847124900).

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

42903987420 is a wasteful number, since it uses less digits than its factorization.

42903987420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105152 (or 105143 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 42903987420 in words is "forty-two billion, nine hundred three million, nine hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 139 140 147 196 210 245 278 294 417 420 490 556 588 695 735 834 973 980 1390 1470 1668 1946 2085 2780 2919 2940 3892 4170 4865 5838 6811 8340 9730 11676 13622 14595 19460 20433 27244 29190 34055 40866 58380 68110 81732 102165 104987 136220 204330 209974 314961 408660 419948 524935 629922 734909 1049870 1259844 1469818 1574805 2099740 2204727 2939636 3149610 3674545 4409454 5144363 6299220 7349090 8818908 10288726 11023635 14593193 14698180 15433089 20577452 22047270 25721815 29186386 30866178 43779579 44094540 51443630 58372772 61732356 72965965 77165445 87559158 102152351 102887260 145931930 154330890 175118316 204304702 218897895 291863860 306457053 308661780 408609404 437795790 510761755 612914106 715066457 875591580 1021523510 1225828212 1430132914 1532285265 2043047020 2145199371 2860265828 3064570530 3575332285 4290398742 6129141060 7150664570 8580797484 10725996855 14301329140 21451993710 42903987420