Search a number
-
+
22434431030040 = 23351072836173957
BaseRepresentation
bin1010001100111011011000…
…10010101101001100011000
32221102201012001221021111110
411012131230102231030120
510420031203320430130
6115414122455500320
74503556054243521
oct506355422551430
987381161837443
1022434431030040
11716a4304a7747
122623b396876a0
13c697335572a3
14577b919cd848
1528d88739dab0
hex14676c4ad318

22434431030040 has 128 divisors (see below), whose sum is σ = 68172350319360. Its totient is φ = 5905660568064.

The previous prime is 22434431030021. The next prime is 22434431030107. The reversal of 22434431030040 is 4003013443422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 546742 + ... + 6720698.

It is an arithmetic number, because the mean of its divisors is an integer number (532596486870).

Almost surely, 222434431030040 is an apocalyptic number.

22434431030040 is a gapful number since it is divisible by the number (20) 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 22434431030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34086175159680).

22434431030040 is an abundant number, since it is smaller than the sum of its proper divisors (45737919289320).

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

22434431030040 is a wasteful number, since it uses less digits than its factorization.

22434431030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174361 (or 6174357 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 22434431030040 its reverse (4003013443422), we get a palindrome (26437444473462).

The spelling of 22434431030040 in words is "twenty-two trillion, four hundred thirty-four billion, four hundred thirty-one million, thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 283 321 428 535 566 642 849 856 1070 1132 1284 1415 1605 1698 2140 2264 2568 2830 3210 3396 4245 4280 5660 6420 6792 8490 11320 12840 16980 30281 33960 60562 90843 121124 151405 181686 242248 302810 363372 454215 605620 726744 908430 1211240 1816860 3633720 6173957 12347914 18521871 24695828 30869785 37043742 49391656 61739570 74087484 92609355 123479140 148174968 185218710 246958280 370437420 660613399 740874840 1321226798 1747229831 1981840197 2642453596 3303066995 3494459662 3963680394 5241689493 5284907192 6606133990 6988919324 7927360788 8736149155 9909200985 10483378986 13212267980 13977838648 15854721576 17472298310 19818401970 20966757972 26208447465 26424535960 34944596620 39636803940 41933515944 52416894930 69889193240 79273607880 104833789860 186953591917 209667579720 373907183834 560860775751 747814367668 934767959585 1121721551502 1495628735336 1869535919170 2243443103004 2804303878755 3739071838340 4486886206008 5608607757510 7478143676680 11217215515020 22434431030040