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4023031241440 = 255432477236069
BaseRepresentation
bin111010100010101111010…
…110010001101011100000
3112020121010222000222201101
4322202233112101223200
51011403131444211230
612320053253244144
7563440315221451
oct72425726215340
915217128028641
104023031241440
11131118128a202
1254b835033654
132324a74a5953
14dca04041128
156e9acddbaca
hex3a8af591ae0

4023031241440 has 96 divisors (see below), whose sum is σ = 9729411642720. Its totient is φ = 1571147741184.

The previous prime is 4023031241417. The next prime is 4023031241461. The reversal of 4023031241440 is 441421303204.

4023031241440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40230312414403 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4023031241399 and 4023031241408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16923726 + ... + 17159794.

It is an arithmetic number, because the mean of its divisors is an integer number (101348037945).

Almost surely, 24023031241440 is an apocalyptic number.

4023031241440 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 4023031241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864705821360).

4023031241440 is an abundant number, since it is smaller than the sum of its proper divisors (5706380401280).

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

4023031241440 is a wasteful number, since it uses less digits than its factorization.

4023031241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238604 (or 238596 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4023031241440 its reverse (441421303204), we get a palindrome (4464452544644).

The spelling of 4023031241440 in words is "four trillion, twenty-three billion, thirty-one million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1376 1720 2477 3440 4954 6880 9908 12385 19816 24770 39632 49540 79264 99080 106511 198160 213022 236069 396320 426044 472138 532555 852088 944276 1065110 1180345 1704176 1888552 2130220 2360690 3408352 3777104 4260440 4721380 7554208 8520880 9442760 10150967 17041760 18885520 20301934 37771040 40603868 50754835 81207736 101509670 162415472 203019340 324830944 406038680 584742913 812077360 1169485826 1624154720 2338971652 2923714565 4677943304 5847429130 9355886608 11694858260 18711773216 23389716520 25143945259 46779433040 50287890518 93558866080 100575781036 125719726295 201151562072 251439452590 402303124144 502878905180 804606248288 1005757810360 2011515620720 4023031241440