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110056040444 = 227177922712893
BaseRepresentation
bin110011001111111011…
…0011110011111111100
3101112001222212010102002
41212133312132133330
53300343321243234
6122320430521432
710644201623450
oct1463766363774
9345058763362
10110056040444
1142746847129
12193b5666278
13a4bbcbb82c
145480810660
152ce1eb727e
hex199fd9e7fc

110056040444 has 96 divisors (see below), whose sum is σ = 237068052480. Its totient is φ = 43633953792.

The previous prime is 110056040431. The next prime is 110056040447. The reversal of 110056040444 is 444040650011.

110056040444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1100560404442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110056040447) 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, 8529662 + ... + 8542554.

It is an arithmetic number, because the mean of its divisors is an integer number (2469458880).

Almost surely, 2110056040444 is an apocalyptic number.

110056040444 is a gapful number since it is divisible by the number (14) 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 110056040444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118534026240).

110056040444 is an abundant number, since it is smaller than the sum of its proper divisors (127012012036).

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

110056040444 is a wasteful number, since it uses less digits than its factorization.

110056040444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13227 (or 13225 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 110056040444 its reverse (444040650011), we get a palindrome (554096690455).

The spelling of 110056040444 in words is "one hundred ten billion, fifty-six million, forty thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 68 79 119 158 227 238 316 454 476 553 908 1106 1343 1589 2212 2686 3178 3859 5372 6356 7718 9401 12893 15436 17933 18802 25786 27013 35866 37604 51572 54026 71732 90251 108052 125531 180502 219181 251062 304861 361004 438362 502124 609722 876724 1018547 1219444 1534267 2037094 2134027 2926711 3068534 4074188 4268054 5853422 6137068 7129829 8536108 11706844 14259658 17315299 20486977 28519316 34630598 40973954 49754087 69261196 81947908 99508174 121207093 199016348 231210169 242414186 348278609 462420338 484828372 696557218 924840676 1393114436 1618471183 3236942366 3930572873 6473884732 7861145746 15722291492 27514010111 55028020222 110056040444