Search a number
-
+
44214100100 = 22521925790547
BaseRepresentation
bin101001001011010111…
…011010000010000100
311020010100122000001222
4221023113122002010
51211022302200400
632151153335512
73123444435632
oct511327320204
9136110560058
1044214100100
11178297858a5
12869b267598
134228157111
1421d6134352
15123b94e185
hexa4b5da084

44214100100 has 72 divisors (see below), whose sum is σ = 101388406560. Its totient is φ = 16689438720.

The previous prime is 44214100097. The next prime is 44214100153. The reversal of 44214100100 is 100141244.

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, 443027 + ... + 533573.

Almost surely, 244214100100 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 44214100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50694203280).

44214100100 is an abundant number, since it is smaller than the sum of its proper divisors (57174306460).

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

44214100100 is a wasteful number, since it uses less digits than its factorization.

44214100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90837 (or 90830 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 44214100100 its reverse (100141244), we get a palindrome (44314241344).

The spelling of 44214100100 in words is "forty-four billion, two hundred fourteen million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 257 380 475 514 950 1028 1285 1900 2570 4883 5140 6425 9766 12850 19532 24415 25700 48830 90547 97660 122075 181094 244150 362188 452735 488300 905470 1720393 1810940 2263675 3440786 4527350 6881572 8601965 9054700 17203930 23270579 34407860 43009825 46541158 86019650 93082316 116352895 172039300 232705790 442141001 465411580 581764475 884282002 1163528950 1768564004 2210705005 2327057900 4421410010 8842820020 11053525025 22107050050 44214100100