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4434040100 = 2252716338861
BaseRepresentation
bin1000010000100101…
…00001010100100100
3102110000102120112102
410020102201110210
533040103240400
62011552511232
7214610501420
oct41022412444
912400376472
104434040100
111975999a56
12a38b4b518
13558820b89
14300c59b80
151ae40e9d5
hex1084a1524

4434040100 has 72 divisors (see below), whose sum is σ = 11064166848. Its totient is φ = 1510876800.

The previous prime is 4434040069. The next prime is 4434040141. The reversal of 4434040100 is 10404344.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 94670 + ... + 133530.

It is an arithmetic number, because the mean of its divisors is an integer number (153668984).

Almost surely, 24434040100 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 4434040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5532083424).

4434040100 is an abundant number, since it is smaller than the sum of its proper divisors (6630126748).

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

4434040100 is a wasteful number, since it uses less digits than its factorization.

4434040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39045 (or 39038 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4434040100 is about 66588.5883616705. The cubic root of 4434040100 is about 1642.8574144567.

Adding to 4434040100 its reverse (10404344), we get a palindrome (4444444444).

The spelling of 4434040100 in words is "four billion, four hundred thirty-four million, forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 652 700 815 1141 1630 2282 3260 4075 4564 5705 8150 11410 16300 22820 28525 38861 57050 77722 114100 155444 194305 272027 388610 544054 777220 971525 1088108 1360135 1943050 2720270 3886100 5440540 6334343 6800675 12668686 13601350 25337372 27202700 31671715 44340401 63343430 88680802 126686860 158358575 177361604 221702005 316717150 443404010 633434300 886808020 1108510025 2217020050 4434040100