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4204214994 = 237241934129
BaseRepresentation
bin1111101010010111…
…0011101011010010
3101211222222020202110
43322211303223102
532102234334434
61533102530150
7206120144400
oct37245635322
911758866673
104204214994
111868195a51
12993b96956
135200233a5
142bc512470
151991634e9
hexfa973ad2

4204214994 has 48 divisors (see below), whose sum is σ = 9804866400. Its totient is φ = 1198302336.

The previous prime is 4204214981. The next prime is 4204215053. The reversal of 4204214994 is 4994124024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106122 + ... + 140250.

It is an arithmetic number, because the mean of its divisors is an integer number (204268050).

Almost surely, 24204214994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204214994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902433200).

4204214994 is an abundant number, since it is smaller than the sum of its proper divisors (5600651406).

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

4204214994 is a wasteful number, since it uses less digits than its factorization.

4204214994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34567 (or 34560 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4204214994 is about 64839.9182140138. The cubic root of 4204214994 is about 1613.9681951018.

The spelling of 4204214994 in words is "four billion, two hundred four million, two hundred fourteen thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 419 838 1257 2514 2933 5866 8799 17598 20531 34129 41062 61593 68258 102387 123186 204774 238903 477806 716709 1433418 1672321 3344642 5016963 10033926 14300051 28600102 42900153 85800306 100100357 200200714 300301071 600602142 700702499 1401404998 2102107497 4204214994