Search a number
-
+
100004304444 = 2231115711234297
BaseRepresentation
bin101110100100010111…
…0001001011000111100
3100120010110202000211120
41131020232021120330
53114302100220234
6113535155150540
710140125363622
oct1351056113074
9316113660746
10100004304444
11394589060a0
121746b2a5450
139579688a55
144ba9861512
1529047da049
hex1748b8963c

100004304444 has 96 divisors (see below), whose sum is σ = 256465579776. Its totient is φ = 30077498880.

The previous prime is 100004304427. The next prime is 100004304469. The reversal of 100004304444 is 444403400001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23270904 + ... + 23275200.

It is an arithmetic number, because the mean of its divisors is an integer number (2671516456).

Almost surely, 2100004304444 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 100004304444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128232789888).

100004304444 is an abundant number, since it is smaller than the sum of its proper divisors (156461275332).

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

100004304444 is a wasteful number, since it uses less digits than its factorization.

100004304444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5595 (or 5593 counting only the distinct ones).

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

Adding to 100004304444 its reverse (444403400001), we get a palindrome (544407704445).

The spelling of 100004304444 in words is "one hundred billion, four million, three hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 157 314 471 628 942 1123 1727 1884 2246 3369 3454 4297 4492 5181 6738 6908 8594 10362 12353 12891 13476 17188 20724 24706 25782 37059 47267 49412 51564 74118 94534 141801 148236 176311 189068 283602 352622 528933 567204 674629 705244 1057866 1349258 1939421 2023887 2115732 2698516 3878842 4047774 4825531 5818263 7420919 7757684 8095548 9651062 11636526 14476593 14841838 19302124 22262757 23273052 28953186 29683676 44525514 53080841 57906372 89051028 106161682 159242523 212323364 318485046 636970092 757608367 1515216734 2272825101 3030433468 4545650202 8333692037 9091300404 16667384074 25001076111 33334768148 50002152222 100004304444