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4200142884 = 2237233376451
BaseRepresentation
bin1111101001011001…
…0001100000100100
3101211201022100212120
43322112101200210
532100214033014
61532435345540
7206040424350
oct37226214044
911751270776
104200142884
111865964573
129927522b0
1351c228a62
142bbb72460
15198b0bba9
hexfa591824

4200142884 has 96 divisors (see below), whose sum is σ = 11723851776. Its totient is φ = 1144281600.

The previous prime is 4200142883. The next prime is 4200142897. The reversal of 4200142884 is 4882410024.

It is not an unprimeable number, because it can be changed into a prime (4200142883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647859 + ... + 654309.

It is an arithmetic number, because the mean of its divisors is an integer number (122123456).

Almost surely, 24200142884 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 4200142884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5861925888).

4200142884 is an abundant number, since it is smaller than the sum of its proper divisors (7523708892).

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

4200142884 is a wasteful number, since it uses less digits than its factorization.

4200142884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825 (or 6823 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 4200142884 is about 64808.5093486959. The cubic root of 4200142884 is about 1613.4469420979.

The spelling of 4200142884 in words is "four billion, two hundred million, one hundred forty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 337 483 644 674 966 1011 1348 1932 2022 2359 4044 4718 6451 7077 7751 9436 12902 14154 15502 19353 23253 25804 28308 31004 38706 45157 46506 54257 77412 90314 93012 108514 135471 148373 162771 180628 217028 270942 296746 325542 445119 541884 593492 651084 890238 1038611 1780476 2077222 2173987 3115833 4154444 4347974 6231666 6521961 8695948 12463332 13043922 15217909 26087844 30435818 45653727 50001701 60871636 91307454 100003402 150005103 182614908 200006804 300010206 350011907 600020412 700023814 1050035721 1400047628 2100071442 4200142884