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42200317008 = 24371205999
BaseRepresentation
bin100111010011010101…
…011011110001010000
311000221000100020000000
4213103111123301100
51142411240121013
631215255130000
73022522530123
oct472325336120
9130830306000
1042200317008
1116995a84853
128218973900
133c96b952a5
1420848cc3ba
15116ec67973
hex9d355bc50

42200317008 has 80 divisors (see below), whose sum is σ = 122626080000. Its totient is φ = 14066760672.

The previous prime is 42200316997. The next prime is 42200317009. The reversal of 42200317008 is 80071300224.

42200317008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42200317009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568008 + ... + 637991.

It is an arithmetic number, because the mean of its divisors is an integer number (1532826000).

Almost surely, 242200317008 is an apocalyptic number.

42200317008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42200317008 is an abundant number, since it is smaller than the sum of its proper divisors (80425762992).

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

42200317008 is an equidigital number, since it uses as much as digits as its factorization.

42200317008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206028 (or 1206004 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 42200317008 in words is "forty-two billion, two hundred million, three hundred seventeen thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 8748 11664 17496 34992 1205999 2411998 3617997 4823996 7235994 9647992 10853991 14471988 19295984 21707982 28943976 32561973 43415964 57887952 65123946 86831928 97685919 130247892 173663856 195371838 260495784 293057757 390743676 520991568 586115514 781487352 879173271 1172231028 1562974704 1758346542 2344462056 2637519813 3516693084 4688924112 5275039626 7033386168 10550079252 14066772336 21100158504 42200317008