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422323242440 = 2351110967713007
BaseRepresentation
bin1100010010101000110…
…11010100010111001000
31111101002102200120201212
412021110123110113020
523404404222224230
6522002420432252
742340364221331
oct6112433242710
91441072616655
10422323242440
111531195078a0
1269a23248688
1330a95438338
1416624c47288
15aebb5c7895
hex62546d45c8

422323242440 has 128 divisors (see below), whose sum is σ = 1047747571200. Its totient is φ = 151926727680.

The previous prime is 422323242421. The next prime is 422323242457. The reversal of 422323242440 is 44242323224.

It is a super-2 number, since 2×4223232424402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 422323242397 and 422323242406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32462417 + ... + 32475423.

It is an arithmetic number, because the mean of its divisors is an integer number (8185527900).

Almost surely, 2422323242440 is an apocalyptic number.

422323242440 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 422323242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523873785600).

422323242440 is an abundant number, since it is smaller than the sum of its proper divisors (625424328760).

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

422323242440 is a wasteful number, since it uses less digits than its factorization.

422323242440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13815 (or 13811 counting only the distinct ones).

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

Adding to 422323242440 its reverse (44242323224), we get a palindrome (466565565664).

The spelling of 422323242440 in words is "four hundred twenty-two billion, three hundred twenty-three million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 677 872 1090 1199 1354 2180 2398 2708 3385 4360 4796 5416 5995 6770 7447 9592 11990 13007 13540 14894 23980 26014 27080 29788 37235 47960 52028 59576 65035 73793 74470 104056 130070 143077 147586 148940 260140 286154 295172 297880 368965 520280 572308 590344 715385 737930 811723 1144616 1417763 1430770 1475860 1623446 2835526 2861540 2951720 3246892 4058615 5671052 5723080 6493784 7088815 8117230 8805739 11342104 14177630 15595393 16234460 17611478 28355260 31190786 32468920 35222956 44028695 56710520 62381572 70445912 77976965 88057390 96863129 124763144 155953930 176114780 193726258 311907860 352229560 387452516 484315645 623815720 774905032 959825551 968631290 1919651102 1937262580 3839302204 3874525160 4799127755 7678604408 9598255510 10558081061 19196511020 21116162122 38393022040 42232324244 52790405305 84464648488 105580810610 211161621220 422323242440