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421313953440 = 25352921043683
BaseRepresentation
bin1100010000110000100…
…01001011111010100000
31111021111002112101111210
412020120101023322200
523400322333002230
6521314324110120
742303360341652
oct6103021137240
91437432471453
10421313953440
1115275081a056
12697a1235340
13309642c8103
141656ab9c6d2
15ae5cbadeb0
hex621844bea0

421313953440 has 144 divisors (see below), whose sum is σ = 1374481731168. Its totient is φ = 108476132352.

The previous prime is 421313953433. The next prime is 421313953451. The reversal of 421313953440 is 44359313124.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118162 + ... + 925521.

It is an arithmetic number, because the mean of its divisors is an integer number (9545012022).

Almost surely, 2421313953440 is an apocalyptic number.

421313953440 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 421313953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687240865584).

421313953440 is an abundant number, since it is smaller than the sum of its proper divisors (953167777728).

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

421313953440 is a wasteful number, since it uses less digits than its factorization.

421313953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043759 (or 1043722 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 421313953440 in words is "four hundred twenty-one billion, three hundred thirteen million, nine hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 841 870 928 1160 1392 1682 1740 2320 2523 2784 3364 3480 4205 4640 5046 6728 6960 8410 10092 12615 13456 13920 16820 20184 25230 26912 33640 40368 50460 67280 80736 100920 134560 201840 403680 1043683 2087366 3131049 4174732 5218415 6262098 8349464 10436830 12524196 15655245 16698928 20873660 25048392 30266807 31310490 33397856 41747320 50096784 60533614 62620980 83494640 90800421 100193568 121067228 125241960 151334035 166989280 181600842 242134456 250483920 302668070 363201684 454002105 484268912 500967840 605336140 726403368 877737403 908004210 968537824 1210672280 1452806736 1755474806 1816008420 2421344560 2633212209 2905613472 3510949612 3632016840 4388687015 4842689120 5266424418 7021899224 7264033680 8777374030 10532848836 13166061045 14043798448 14528067360 17554748060 21065697672 26332122090 28087596896 35109496120 42131395344 52664244180 70218992240 84262790688 105328488360 140437984480 210656976720 421313953440