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4201123344 = 2431110972997
BaseRepresentation
bin1111101001101000…
…0000111000010000
3101211210011011210220
43322122000320100
532100441421334
61532512353040
7206051650005
oct37232007020
911753134726
104201123344
111866474170
12992b45780
1351c4b0102
142bbd498ac
15198c52449
hexfa680e10

4201123344 has 80 divisors (see below), whose sum is σ = 11948312640. Its totient is φ = 1261370880.

The previous prime is 4201123331. The next prime is 4201123361. The reversal of 4201123344 is 4433211024.

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

It is an unprimeable number.

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, 21054 + ... + 94050.

It is an arithmetic number, because the mean of its divisors is an integer number (149353908).

Almost surely, 24201123344 is an apocalyptic number.

4201123344 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 4201123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974156320).

4201123344 is an abundant number, since it is smaller than the sum of its proper divisors (7747189296).

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

4201123344 is a wasteful number, since it uses less digits than its factorization.

4201123344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73128 (or 73122 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4201123344 is about 64816.0731917632. The cubic root of 4201123344 is about 1613.5724772806.

Adding to 4201123344 its reverse (4433211024), we get a palindrome (8634334368).

The spelling of 4201123344 in words is "four billion, two hundred one million, one hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 176 218 264 327 436 528 654 872 1199 1308 1744 2398 2616 3597 4796 5232 7194 9592 14388 19184 28776 57552 72997 145994 218991 291988 437982 583976 802967 875964 1167952 1605934 1751928 2408901 3211868 3503856 4817802 6423736 7956673 9635604 12847472 15913346 19271208 23870019 31826692 38542416 47740038 63653384 87523403 95480076 127306768 175046806 190960152 262570209 350093612 381920304 525140418 700187224 1050280836 1400374448 2100561672 4201123344