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4231341312 = 283113713537
BaseRepresentation
bin1111110000110101…
…0010010100000000
3101220220000102001220
43330031102110000
532131210410222
61535512155040
7206566544022
oct37415222400
911826012056
104231341312
1118815333a0
129a1098a80
13525830373
142c1d74012
1519b720b5c
hexfc352500

4231341312 has 144 divisors (see below), whose sum is σ = 12618282432. Its totient is φ = 1247477760.

The previous prime is 4231341307. The next prime is 4231341319. The reversal of 4231341312 is 2131431324.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231341319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305808 + ... + 319344.

Almost surely, 24231341312 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 4231341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309141216).

4231341312 is an abundant number, since it is smaller than the sum of its proper divisors (8386941120).

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

4231341312 is a wasteful number, since it uses less digits than its factorization.

4231341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13604 (or 13590 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 4231341312 is about 65048.7610335508. The cubic root of 4231341312 is about 1617.4319562530.

Adding to 4231341312 its reverse (2131431324), we get a palindrome (6362772636).

It can be divided in two parts, 4231 and 341312, that added together give a palindrome (345543).

The spelling of 4231341312 in words is "four billion, two hundred thirty-one million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 528 592 704 768 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 2816 3256 3552 4224 4736 4884 6512 7104 8448 9472 9768 13024 13537 14208 19536 26048 27074 28416 39072 40611 52096 54148 78144 81222 104192 108296 148907 156288 162444 216592 297814 312576 324888 433184 446721 500869 595628 649776 866368 893442 1001738 1191256 1299552 1502607 1732736 1786884 2003476 2382512 2599104 3005214 3465472 3573768 4006952 4765024 5198208 5509559 6010428 7147536 8013904 9530048 10396416 11019118 12020856 14295072 16027808 16528677 19060096 22038236 24041712 28590144 32055616 33057354 38120192 44076472 48083424 57180288 64111232 66114708 88152944 96166848 114360576 128222464 132229416 176305888 192333696 264458832 352611776 384667392 528917664 705223552 1057835328 1410447104 2115670656 4231341312