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4202430144 = 263111989787
BaseRepresentation
bin1111101001111011…
…1111111011000000
3101211212121120101220
43322132333323000
532101310231034
61533000355040
7206066031633
oct37236777300
911755546356
104202430144
111867186a70
12993475a80
1351c849b73
142bc1a9c1a
15198e0e749
hexfa7bfec0

4202430144 has 56 divisors (see below), whose sum is σ = 12129747648. Its totient is φ = 1273463040.

The previous prime is 4202430139. The next prime is 4202430151. The reversal of 4202430144 is 4410342024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992782 + ... + 997005.

Almost surely, 24202430144 is an apocalyptic number.

4202430144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4202430144 is an abundant number, since it is smaller than the sum of its proper divisors (7927317504).

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

4202430144 is a wasteful number, since it uses less digits than its factorization.

4202430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989813 (or 1989803 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4202430144 is about 64826.1532408024. The cubic root of 4202430144 is about 1613.7397657051.

Adding to 4202430144 its reverse (4410342024), we get a palindrome (8612772168).

The spelling of 4202430144 in words is "four billion, two hundred two million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 1989787 3979574 5969361 7959148 11938722 15918296 21887657 23877444 31836592 43775314 47754888 63673184 65662971 87550628 95509776 127346368 131325942 175101256 191019552 262651884 350202512 382039104 525303768 700405024 1050607536 1400810048 2101215072 4202430144