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44068230400 = 285219335677
BaseRepresentation
bin101001000010101010…
…111101010100000000
311012202012011001110111
4221002222331110000
51210222431333100
632124503041104
73120023530555
oct510252752400
9135665131414
1044068230400
1117764404827
12865a440194
134203b7319c
1421c0a02a2c
15122dc386ba
hexa42abd500

44068230400 has 108 divisors (see below), whose sum is σ = 109643988412. Its totient is φ = 17535467520.

The previous prime is 44068230383. The next prime is 44068230407. The reversal of 44068230400 is 403286044.

It can be written as a sum of positive squares in 6 ways, for example, as 1328456704 + 42739773696 = 36448^2 + 206736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44068230407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1217362 + ... + 1253038.

Almost surely, 244068230400 is an apocalyptic number.

44068230400 is a gapful number since it is divisible by the number (40) 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 44068230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54821994206).

44068230400 is an abundant number, since it is smaller than the sum of its proper divisors (65575758012).

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

44068230400 is a wasteful number, since it uses less digits than its factorization.

44068230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35896 (or 35877 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The spelling of 44068230400 in words is "forty-four billion, sixty-eight million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 193 200 256 320 386 400 640 772 800 965 1280 1544 1600 1930 3088 3200 3860 4825 6176 6400 7720 9650 12352 15440 19300 24704 30880 35677 38600 49408 61760 71354 77200 123520 142708 154400 178385 247040 285416 308800 356770 570832 617600 713540 891925 1141664 1235200 1427080 1783850 2283328 2854160 3567700 4566656 5708320 6885661 7135400 9133312 11416640 13771322 14270800 22833280 27542644 28541600 34428305 45666560 55085288 57083200 68856610 110170576 114166400 137713220 172141525 220341152 228332800 275426440 344283050 440682304 550852880 688566100 881364608 1101705760 1377132200 1762729216 2203411520 2754264400 4406823040 5508528800 8813646080 11017057600 22034115200 44068230400