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4144102404 = 22313210911873
BaseRepresentation
bin1111011100000001…
…1111110000000100
3101200210212012210020
43313000133300010
531441342234104
61523114255140
7204460201131
oct36700376004
911623765706
104144102404
111837268522
12977a274b0
13510737100
142b4545588
15193c3c2d9
hexf701fc04

4144102404 has 72 divisors (see below), whose sum is σ = 10485794592. Its totient is φ = 1273259520.

The previous prime is 4144102399. The next prime is 4144102409. The reversal of 4144102404 is 4042014414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4144102399) and next prime (4144102409).

It is not an unprimeable number, because it can be changed into a prime (4144102409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2211612 + ... + 2213484.

It is an arithmetic number, because the mean of its divisors is an integer number (145636036).

Almost surely, 24144102404 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 4144102404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5242897296).

4144102404 is an abundant number, since it is smaller than the sum of its proper divisors (6341692188).

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

4144102404 is a wasteful number, since it uses less digits than its factorization.

4144102404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4144102404 is about 64374.7031371796. The cubic root of 4144102404 is about 1606.2389742333.

Adding to 4144102404 its reverse (4042014414), we get a palindrome (8186116818).

The spelling of 4144102404 in words is "four billion, one hundred forty-four million, one hundred two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1091 1873 2028 2182 3273 3746 4364 5619 6546 7492 11238 13092 14183 22476 24349 28366 42549 48698 56732 73047 85098 97396 146094 170196 184379 292188 316537 368758 553137 633074 737516 949611 1106274 1266148 1899222 2043443 2212548 3798444 4086886 6130329 8173772 12260658 24521316 26564759 53129518 79694277 106259036 159388554 318777108 345341867 690683734 1036025601 1381367468 2072051202 4144102404