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422423432020040 = 235113595059528611
BaseRepresentation
bin110000000001100010001111…
…0100111000100000001001000
32001101200021201021121210102112
41200003010132213010001020
5420331441142044120130
64054230351243521452
7154656041303155463
oct14003043647040110
92041607637553375
10422423432020040
11112662853901330
123b4645a8829288
13151924881361a9
1476455905442da
1533c8309a86495
hex180311e9c4048

422423432020040 has 128 divisors (see below), whose sum is σ = 1039953188736000. Its totient is φ = 153150073286400.

The previous prime is 422423432020013. The next prime is 422423432020043. The reversal of 422423432020040 is 40020234324224.

It is a junction number, because it is equal to n+sod(n) for n = 422423432019979 and 422423432020006.

It is not an unprimeable number, because it can be changed into a prime (422423432020043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798855335 + ... + 799383945.

It is an arithmetic number, because the mean of its divisors is an integer number (8124634287000).

Almost surely, 2422423432020040 is an apocalyptic number.

422423432020040 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 422423432020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519976594368000).

422423432020040 is an abundant number, since it is smaller than the sum of its proper divisors (617529756715960).

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

422423432020040 is a wasteful number, since it uses less digits than its factorization.

422423432020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534051 (or 534047 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 422423432020040 its reverse (40020234324224), we get a palindrome (462443666344264).

The spelling of 422423432020040 in words is "four hundred twenty-two trillion, four hundred twenty-three billion, four hundred thirty-two million, twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 359 440 718 1436 1795 2872 3590 3949 5059 7180 7898 10118 14360 15796 19745 20236 25295 31592 39490 40472 50590 55649 78980 101180 111298 157960 202360 222596 278245 445192 528611 556490 1057222 1112980 1816181 2114444 2225960 2643055 3632362 4228888 5286110 5814721 7264724 9080905 10572220 11629442 14529448 18161810 19977991 21144440 23258884 29073605 36323620 39955982 46517768 58147210 72647240 79911964 99889955 116294420 159823928 189771349 199779910 232588840 379542698 399559820 759085396 799119640 948856745 1518170792 1897713490 2087484839 2674243049 3795426980 4174969678 5348486098 7590853960 8349939356 10437424195 10696972196 13371215245 16699878712 20874848390 21393944392 26742430490 29416673539 41749696780 53484860980 58833347078 83499393560 106969721960 117666694156 147083367695 235333388312 294166735390 588333470780 960053254591 1176666941560 1920106509182 3840213018364 4800266272955 7680426036728 9600532545910 10560585800501 19201065091820 21121171601002 38402130183640 42242343202004 52802929002505 84484686404008 105605858005010 211211716010020 422423432020040