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4201430024 = 23111922910973
BaseRepresentation
bin1111101001101100…
…1011110000001000
3101211210201202111102
43322123023300020
532101031230044
61532523120532
7206054365061
oct37233136010
911753652442
104201430024
111866663620
12993073148
1351c58988c
142bbdc9568
15198cb324e
hexfa6cbc08

4201430024 has 64 divisors (see below), whose sum is σ = 9086472000. Its totient is φ = 1801163520.

The previous prime is 4201429951. The next prime is 4201430053. The reversal of 4201430024 is 4200341024.

4201430024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4201429978 and 4201430005.

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, 377402 + ... + 388374.

It is an arithmetic number, because the mean of its divisors is an integer number (141976125).

Almost surely, 24201430024 is an apocalyptic number.

4201430024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543236000).

4201430024 is an abundant number, since it is smaller than the sum of its proper divisors (4885041976).

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

4201430024 is a wasteful number, since it uses less digits than its factorization.

4201430024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11238 (or 11234 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4201430024 is about 64818.4389198012. The cubic root of 4201430024 is about 1613.6117396656.

Adding to 4201430024 its reverse (4200341024), we get a palindrome (8401771048).

The spelling of 4201430024 in words is "four billion, two hundred one million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 229 418 458 836 916 1672 1832 2519 4351 5038 8702 10076 10973 17404 20152 21946 34808 43892 47861 87784 95722 120703 191444 208487 241406 382888 416974 482812 833948 965624 1667896 2293357 2512817 4586714 5025634 9173428 10051268 18346856 20102536 27640987 47743523 55281974 95487046 110563948 190974092 221127896 381948184 525178753 1050357506 2100715012 4201430024