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22423241104040 = 2357713011374603
BaseRepresentation
bin1010001100100110100010…
…10100100001101010101000
32221101122022020010010202202
411012103101110201222220
510414340244210312130
6115405032244515332
74503011550401540
oct506232124415250
987348266103682
1022423241104040
117165709037717
1226219360abb48
13c6866c191aba
1457740d800320
1528d42ece5145
hex1464d1521aa8

22423241104040 has 128 divisors (see below), whose sum is σ = 58491447736320. Its totient is φ = 7577149574400.

The previous prime is 22423241104039. The next prime is 22423241104063. The reversal of 22423241104040 is 4040114232422.

It is a happy number.

It is a super-3 number, since 3×224232411040403 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22423241103994 and 22423241104012.

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, 59671379 + ... + 60045981.

It is an arithmetic number, because the mean of its divisors is an integer number (456964435440).

Almost surely, 222423241104040 is an apocalyptic number.

22423241104040 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 22423241104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29245723868160).

22423241104040 is an abundant number, since it is smaller than the sum of its proper divisors (36068206632280).

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

22423241104040 is a wasteful number, since it uses less digits than its factorization.

22423241104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377703 (or 377699 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 22423241104040 its reverse (4040114232422), we get a palindrome (26463355336462).

The spelling of 22423241104040 in words is "twenty-two trillion, four hundred twenty-three billion, two hundred forty-one million, one hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 71 140 142 280 284 355 497 568 710 994 1420 1988 2485 2840 3011 3976 4970 6022 9940 12044 15055 19880 21077 24088 30110 42154 60220 84308 105385 120440 168616 210770 213781 374603 421540 427562 749206 843080 855124 1068905 1496467 1498412 1710248 1873015 2137810 2622221 2992934 2996824 3746030 4275620 5244442 5985868 7482335 7492060 8551240 10488884 11971736 13111105 14964670 14984120 20977768 26222210 26596813 29929340 52444420 53193626 59858680 104888840 106387252 132984065 186177691 212774504 265968130 372355382 531936260 744710764 930888455 1063872520 1127929633 1489421528 1861776910 2255859266 3723553820 4511718532 5639648165 7447107640 7895507431 9023437064 11279296330 15791014862 22558592660 31582029724 39477537155 45117185320 63164059448 78955074310 80083003943 157910148620 160166007886 315820297240 320332015772 400415019715 560581027601 640664031544 800830039430 1121162055202 1601660078860 2242324110404 2802905138005 3203320157720 4484648220808 5605810276010 11211620552020 22423241104040