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4714133743872 = 28327292294999
BaseRepresentation
bin100010010011001100001…
…0001000110100100000000
3121200200000002022200100100
41010212120101012210000
51104214021214300442
614005350530322400
7664404425451030
oct104463021064400
917620002280310
104714133743872
111558286668223
12641769a29400
132827054a1117
141242457b38c0
158295acb384c
hex44998446900

4714133743872 has 108 divisors (see below), whose sum is σ = 15533725480000. Its totient is φ = 1346895350784.

The previous prime is 4714133743853. The next prime is 4714133743873. The reversal of 4714133743872 is 2783473314174.

4714133743872 is a `hidden beast` number, since 4 + 7 + 1 + 4 + 133 + 7 + 438 + 72 = 666.

It is a super-2 number, since 2×47141337438722 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4714133743873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146131372 + ... + 146163627.

Almost surely, 24714133743872 is an apocalyptic number.

4714133743872 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4714133743872 is an abundant number, since it is smaller than the sum of its proper divisors (10819591736128).

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

4714133743872 is a wasteful number, since it uses less digits than its factorization.

4714133743872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292295028 (or 292295011 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 4714133743872 in words is "four trillion, seven hundred fourteen billion, one hundred thirty-three million, seven hundred forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 292294999 584589998 876884997 1169179996 1753769994 2046064993 2338359992 2630654991 3507539988 4092129986 4676719984 5261309982 6138194979 7015079976 8184259972 9353439968 10522619964 12276389958 14030159952 16368519944 18414584937 18706879936 21045239928 24552779916 28060319904 32737039888 36829169874 37413759872 42090479856 49105559832 56120639808 65474079776 73658339748 74827519744 84180959712 98211119664 112241279616 130948159552 147316679496 168361919424 196422239328 224482559232 261896319104 294633358992 336723838848 392844478656 523792638208 589266717984 673447677696 785688957312 1178533435968 1571377914624 2357066871936 4714133743872