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420241031142320 = 245181359407919819
BaseRepresentation
bin101111110001101001111110…
…1011000011001101110110000
32001002221122120000100022010202
41133203103331120121232300
5420040212112433023240
64045440021535014332
7154342261336610003
oct13743237530315660
92032848500308122
10420241031142320
111119a1247467403
123b17163b06a3a8
131506473672529b
1475ababb08b53a
15338b678704315
hex17e34fd619bb0

420241031142320 has 160 divisors (see below), whose sum is σ = 985486424832000. Its totient is φ = 166652777272320.

The previous prime is 420241031142319. The next prime is 420241031142337. The reversal of 420241031142320 is 23241130142024.

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, 21203937371 + ... + 21203957189.

It is an arithmetic number, because the mean of its divisors is an integer number (6159290155200).

Almost surely, 2420241031142320 is an apocalyptic number.

420241031142320 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 420241031142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492743212416000).

420241031142320 is an abundant number, since it is smaller than the sum of its proper divisors (565245393689680).

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

420241031142320 is a wasteful number, since it uses less digits than its factorization.

420241031142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24451 (or 24445 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 420241031142320 its reverse (23241130142024), we get a palindrome (443482161284344).

The spelling of 420241031142320 in words is "four hundred twenty trillion, two hundred forty-one billion, thirty-one million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 359 362 718 724 905 1436 1448 1795 1810 2872 2896 3590 3620 4079 5744 7180 7240 8158 14360 14480 16316 19819 20395 28720 32632 39638 40790 64979 65264 79276 81580 99095 129958 158552 163160 198190 259916 317104 324895 326320 396380 519832 649790 738299 792760 1039664 1299580 1464361 1476598 1585520 2599160 2928722 2953196 3587239 3691495 5198320 5857444 5906392 7115021 7174478 7321805 7382990 11714888 11812784 14230042 14348956 14643610 14765980 17936195 23429776 28460084 28697912 29287220 29531960 35575105 35872390 56920168 57395824 58574440 59063920 71150210 71744780 80841701 113840336 117148880 142300420 143489560 161683402 265049341 284600840 286979120 323366804 404208505 530098682 569201680 646733608 808417010 1060197364 1287818801 1293467216 1325246705 1616834020 2120394728 2575637602 2650493410 3233668040 4240789456 5151275204 5300986820 6439094005 6467336080 10302550408 10601973640 12878188010 14632347881 20605100816 21203947280 25756376020 29022170659 29264695762 51512752040 58044341318 58529391524 73161739405 103025504080 116088682636 117058783048 145110853295 146323478810 232177365272 234117566096 290221706590 292646957620 464354730544 580443413180 585293915240 1160886826360 1170587830480 2321773652720 5253012889279 10506025778558 21012051557116 26265064446395 42024103114232 52530128892790 84048206228464 105060257785580 210120515571160 420241031142320