Search a number
-
+
44424240200 = 23521747277999
BaseRepresentation
bin101001010111111001…
…000001110001001000
311020200000001020002122
4221113321001301020
51211440101141300
632224101350412
73131605545164
oct512771016110
9136600036078
1044424240200
11179273641aa
128739708408
13425c851982
142215dd5ca4
15125010cc85
hexa57e41c48

44424240200 has 96 divisors (see below), whose sum is σ = 111689280000. Its totient is φ = 16368522240.

The previous prime is 44424240181. The next prime is 44424240269. The reversal of 44424240200 is 204242444.

It is a self number, because there is not a number n which added to its sum of digits gives 44424240200.

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, 20801 + ... + 298799.

It is an arithmetic number, because the mean of its divisors is an integer number (1163430000).

Almost surely, 244424240200 is an apocalyptic number.

44424240200 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 44424240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55844640000).

44424240200 is an abundant number, since it is smaller than the sum of its proper divisors (67265039800).

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

44424240200 is a wasteful number, since it uses less digits than its factorization.

44424240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278079 (or 278070 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 44424240200 its reverse (204242444), we get a palindrome (44628482644).

The spelling of 44424240200 in words is "forty-four billion, four hundred twenty-four million, two hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 47 50 68 85 94 100 136 170 188 200 235 340 376 425 470 680 799 850 940 1175 1598 1700 1880 2350 3196 3400 3995 4700 6392 7990 9400 15980 19975 31960 39950 79900 159800 277999 555998 1111996 1389995 2223992 2779990 4725983 5559980 6949975 9451966 11119960 13065953 13899950 18903932 23629915 26131906 27799900 37807864 47259830 52263812 55599800 65329765 94519660 104527624 118149575 130659530 189039320 222121201 236299150 261319060 326648825 444242402 472598300 522638120 653297650 888484804 945196600 1110606005 1306595300 1776969608 2221212010 2613190600 4442424020 5553030025 8884848040 11106060050 22212120100 44424240200