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44414402300 = 225217155316823
BaseRepresentation
bin101001010111010011…
…011111111011111100
311020122022112102000222
4221113103133323330
51211430041333200
632223110440512
73131426122232
oct512723377374
9136568472028
1044414402300
1117921854904
128736363138
13425a7b8b28
142214994952
15124e317d85
hexa574dfefc

44414402300 has 72 divisors (see below), whose sum is σ = 102120401376. Its totient is φ = 16708956160.

The previous prime is 44414402293. The next prime is 44414402327. The reversal of 44414402300 is 320441444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 44414402300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2631689 + ... + 2648511.

It is an arithmetic number, because the mean of its divisors is an integer number (1418338908).

Almost surely, 244414402300 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 44414402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51060200688).

44414402300 is an abundant number, since it is smaller than the sum of its proper divisors (57705999076).

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

44414402300 is a wasteful number, since it uses less digits than its factorization.

44414402300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18407 (or 18400 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 44414402300 its reverse (320441444), we get a palindrome (44734843744).

The spelling of 44414402300 in words is "forty-four billion, four hundred fourteen million, four hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1553 1700 3106 6212 7765 15530 16823 26401 31060 33646 38825 52802 67292 77650 84115 105604 132005 155300 168230 264010 285991 336460 420575 528020 571982 660025 841150 1143964 1320050 1429955 1682300 2640100 2859910 5719820 7149775 14299550 26126119 28599100 52252238 104504476 130630595 261261190 444144023 522522380 653152975 888288046 1306305950 1776576092 2220720115 2612611900 4441440230 8882880460 11103600575 22207201150 44414402300