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440111221044 = 2231119431407153
BaseRepresentation
bin1100110011110001010…
…11000100100100110100
31120002000002220112002020
412121320223010210310
524202321433033134
6534103450513140
743540236440265
oct6317053044464
91502002815066
10440111221044
1115a717346460
12713684357b0
133266b762971
141743144296c
15b6ad04eb49
hex6678ac4934

440111221044 has 96 divisors (see below), whose sum is σ = 1181984348160. Its totient is φ = 126054259200.

The previous prime is 440111221019. The next prime is 440111221049. The reversal of 440111221044 is 440122111044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440111221049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877372 + ... + 1284524.

It is an arithmetic number, because the mean of its divisors is an integer number (12312336960).

Almost surely, 2440111221044 is an apocalyptic number.

440111221044 is a gapful number since it is divisible by the number (44) 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 440111221044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590992174080).

440111221044 is an abundant number, since it is smaller than the sum of its proper divisors (741873127116).

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

440111221044 is a wasteful number, since it uses less digits than its factorization.

440111221044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407621 (or 407619 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 440111221044 its reverse (440122111044), we get a palindrome (880233332088).

Subtracting 440111221044 from its reverse (440122111044), we obtain a square (10890000 = 33002).

The spelling of 440111221044 in words is "four hundred forty billion, one hundred eleven million, two hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 431 627 836 862 1254 1293 1724 2508 2586 4741 5172 8189 9482 14223 16378 18964 24567 28446 32756 49134 56892 90079 98268 180158 270237 360316 407153 540474 814306 1080948 1221459 1628612 2442918 4478683 4885836 7735907 8957366 13436049 15471814 17914732 23207721 26872098 30943628 46415442 53744196 85094977 92830884 170189954 175482943 255284931 340379908 350965886 510569862 526448829 701931772 1021139724 1052897658 1930312373 2105795316 3334175917 3860624746 5790937119 6668351834 7721249492 10002527751 11581874238 13336703668 20005055502 23163748476 36675935087 40010111004 73351870174 110027805261 146703740348 220055610522 440111221044