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422401111440 = 243571122857203
BaseRepresentation
bin1100010010110010001…
…00010111010110010000
31111101021212012201220220
412021121010113112100
523410034141031230
6522014241433040
742342331130550
oct6113104272620
91441255181826
10422401111440
11153159462a40
1269a4533b780
1330aa8600779
1416631317160
15aec3359d10
hex6259117590

422401111440 has 160 divisors (see below), whose sum is σ = 1632552938496. Its totient is φ = 87771655680.

The previous prime is 422401111421. The next prime is 422401111487. The reversal of 422401111440 is 44111104224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 422401111440.

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, 11410122 + ... + 11447081.

Almost surely, 2422401111440 is an apocalyptic number.

422401111440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422401111440 is an abundant number, since it is smaller than the sum of its proper divisors (1210151827056).

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

422401111440 is a wasteful number, since it uses less digits than its factorization.

422401111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22857237 (or 22857231 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 422401111440 its reverse (44111104224), we get a palindrome (466512215664).

The spelling of 422401111440 in words is "four hundred twenty-two billion, four hundred one million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 22857203 45714406 68571609 91428812 114286015 137143218 160000421 182857624 228572030 251429233 274286436 320000842 342858045 365715248 457144060 480001263 502858466 548572872 640001684 685716090 754287699 800002105 914288120 960002526 1005716932 1097145744 1257146165 1280003368 1371432180 1508575398 1600004210 1760004631 1828576240 1920005052 2011433864 2400006315 2514292330 2560006736 2742864360 3017150796 3200008420 3520009262 3771438495 3840010104 4022867728 4800012630 5028584660 5280013893 5485728720 6034301592 6400016840 7040018524 7542876990 7680020208 8800023155 9600025260 10057169320 10560027786 12068603184 12800033680 14080037048 15085753980 17600046310 19200050520 20114338640 21120055572 26400069465 28160074096 30171507960 35200092620 38400101040 42240111144 52800138930 60343015920 70400185240 84480222288 105600277860 140800370480 211200555720 422401111440