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4204211312 = 247157373641
BaseRepresentation
bin1111101010010111…
…0010110001110000
3101211222222001201002
43322211302301300
532102234230222
61533102501132
7206120130560
oct37245626160
911758861632
104204211312
111868193204
12993b947a8
13520021802
142bc510da0
15199162392
hexfa972c70

4204211312 has 80 divisors (see below), whose sum is σ = 9408391872. Its totient is φ = 1782743040.

The previous prime is 4204211303. The next prime is 4204211327. The reversal of 4204211312 is 2131124024.

It is a super-2 number, since 2×42042113122 = 35350785511897522688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6558512 + ... + 6559152.

Almost surely, 24204211312 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 4204211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704195936).

4204211312 is an abundant number, since it is smaller than the sum of its proper divisors (5204180560).

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

4204211312 is a wasteful number, since it uses less digits than its factorization.

4204211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4204211312 is about 64839.8898210045. The cubic root of 4204211312 is about 1613.9677239371.

Adding to 4204211312 its reverse (2131124024), we get a palindrome (6335335336).

The spelling of 4204211312 in words is "four billion, two hundred four million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 373 628 641 746 1099 1256 1282 1492 2198 2512 2564 2611 2984 4396 4487 5128 5222 5968 8792 8974 10256 10444 17584 17948 20888 35896 41776 58561 71792 100637 117122 201274 234244 239093 402548 409927 468488 478186 704459 805096 819854 936976 956372 1408918 1610192 1639708 1673651 1912744 2817836 3279416 3347302 3825488 5635672 6558832 6694604 11271344 13389208 26778416 37537601 75075202 150150404 262763207 300300808 525526414 600601616 1051052828 2102105656 4204211312