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4014003430112 = 251346142974871
BaseRepresentation
bin111010011010010101001…
…111111010001011100000
3112012201211210121122201212
4322122111033322023200
51011231134334230422
612312001400045252
7563000514126014
oct72322517721340
915181753548655
104014003430112
111308369322a05
12549b35763828
13231699038960
14dc3c906a544
156e6305699e2
hex3a6953fa2e0

4014003430112 has 96 divisors (see below), whose sum is σ = 8532656282304. Its totient is φ = 1847788646400.

The previous prime is 4014003430043. The next prime is 4014003430121. The reversal of 4014003430112 is 2110343004104.

It is a super-2 number, since 2×40140034301122 (a number of 26 digits) contains 22 as substring.

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, 824059037 + ... + 824063907.

It is an arithmetic number, because the mean of its divisors is an integer number (88881836274).

Almost surely, 24014003430112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014003430112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266328141152).

4014003430112 is an abundant number, since it is smaller than the sum of its proper divisors (4518652852192).

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

4014003430112 is a wasteful number, since it uses less digits than its factorization.

4014003430112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652 (or 9644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 4014003430112 its reverse (2110343004104), we get a palindrome (6124346434216).

The spelling of 4014003430112 in words is "four trillion, fourteen billion, three million, four hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 461 922 1844 3688 4297 4871 5993 7376 8594 9742 11986 14752 17188 19484 23972 34376 38968 47944 55861 63323 68752 77936 95888 111722 126646 137504 155872 191776 223444 253292 446888 506584 893776 1013168 1787552 1980917 2026336 2245531 3961834 4491062 7923668 8982124 15847336 17964248 20930687 25751921 29191903 31694672 35928496 41861374 51503842 58383806 63389344 71856992 83722748 103007684 116767612 167445496 206015368 233535224 272098931 334890992 412030736 467070448 544197862 669781984 824061472 934140896 1088395724 2176791448 4353582896 8707165792 9649046707 19298093414 38596186828 77192373656 125437607191 154384747312 250875214382 308769494624 501750428764 1003500857528 2007001715056 4014003430112