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440121121044 = 223114377540719
BaseRepresentation
bin1100110011110010100…
…00110101100100010100
31120002000210112111022220
412121321100311210110
524202332001333134
6534104443022340
743540416542253
oct6317120654424
91502023474286
10440121121044
1115a721998480
127136b80a9b0
133267081ab57
141743289c79a
15b6add58149
hex6679435914

440121121044 has 48 divisors (see below), whose sum is σ = 1146362004480. Its totient is φ = 130268406240.

The previous prime is 440121121043. The next prime is 440121121081.

440121121044 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440121121043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38764684 + ... + 38776035.

It is an arithmetic number, because the mean of its divisors is an integer number (23882541760).

Almost surely, 2440121121044 is an apocalyptic number.

440121121044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440121121044 is an abundant number, since it is smaller than the sum of its proper divisors (706240883436).

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

440121121044 is a wasteful number, since it uses less digits than its factorization.

440121121044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77540780 (or 77540778 counting only the distinct ones).

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

It can be divided in two parts, 440121 and 121044, that added together give a palindrome (561165).

The spelling of 440121121044 in words is "four hundred forty billion, one hundred twenty-one million, one hundred twenty-one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 77540719 155081438 232622157 310162876 465244314 852947909 930488628 1705895818 2558843727 3334250917 3411791636 5117687454 6668501834 10002752751 10235374908 13337003668 20005505502 36676760087 40011011004 73353520174 110030280261 146707040348 220060560522 440121121044