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44420000424 = 23337478312823
BaseRepresentation
bin101001010111101000…
…110110101010101000
311020122201001211012220
4221113220312222220
51211433010003144
632223430434040
73131524526262
oct512750665250
9136581054186
1044420000424
1117924a28858
128738202920
13425b9c8c27
142215610b32
15124ea71919
hexa57a36aa8

44420000424 has 128 divisors (see below), whose sum is σ = 117890519040. Its totient is φ = 13929000192.

The previous prime is 44420000389. The next prime is 44420000431. The reversal of 44420000424 is 42400002444.

44420000424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 44420000394 and 44420000403.

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, 3457677 + ... + 3470499.

It is an arithmetic number, because the mean of its divisors is an integer number (921019680).

Almost surely, 244420000424 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 44420000424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58945259520).

44420000424 is an abundant number, since it is smaller than the sum of its proper divisors (73470518616).

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

44420000424 is a wasteful number, since it uses less digits than its factorization.

44420000424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12999 (or 12995 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44420000424 its reverse (42400002444), we get a palindrome (86820002868).

The spelling of 44420000424 in words is "forty-four billion, four hundred twenty million, four hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 37 47 74 83 94 111 141 148 166 188 222 249 282 296 332 376 444 498 564 664 888 996 1128 1739 1992 3071 3478 3901 5217 6142 6956 7802 9213 10434 11703 12284 12823 13912 15604 18426 20868 23406 24568 25646 31208 36852 38469 41736 46812 51292 73704 76938 93624 102584 144337 153876 288674 307752 433011 474451 577348 602681 866022 948902 1064309 1154696 1205362 1423353 1732044 1808043 1897804 2128618 2410724 2846706 3192927 3464088 3616086 3795608 4257236 4821448 5693412 6385854 7232172 8514472 11386824 12771708 14464344 22299197 25543416 39379433 44598394 50022523 66897591 78758866 89196788 100045046 118138299 133795182 150067569 157517732 178393576 200090092 236276598 267590364 300135138 315035464 400180184 472553196 535180728 600270276 945106392 1200540552 1850833351 3701666702 5552500053 7403333404 11105000106 14806666808 22210000212 44420000424