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110331214240440 = 23353312777724427
BaseRepresentation
bin11001000101100001111100…
…110101010001101010111000
3112110122120011000120111222110
4121011201330311101222320
5103430131311321143230
61030353243214252320
732145111225226524
oct3105417465215270
9473576130514873
10110331214240440
1132178229123316
121045ab184b70a0
13497425bc0430b
141d360b8886d84
15cb4e7c3ea4b0
hex64587cd51ab8

110331214240440 has 64 divisors (see below), whose sum is σ = 331993623634560. Its totient is φ = 29332769938560.

The previous prime is 110331214240399. The next prime is 110331214240459. The reversal of 110331214240440 is 44042412133011.

It is a happy number.

It is a super-2 number, since 2×1103312142404402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 110331214240398 and 110331214240407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1388822494 + ... + 1388901933.

It is an arithmetic number, because the mean of its divisors is an integer number (5187400369290).

Almost surely, 2110331214240440 is an apocalyptic number.

110331214240440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110331214240440 is an abundant number, since it is smaller than the sum of its proper divisors (221662409394120).

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

110331214240440 is a wasteful number, since it uses less digits than its factorization.

110331214240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777724772 (or 2777724768 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 110331214240440 its reverse (44042412133011), we get a palindrome (154373626373451).

The spelling of 110331214240440 in words is "one hundred ten trillion, three hundred thirty-one billion, two hundred fourteen million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3310 3972 4965 6620 7944 9930 13240 19860 39720 2777724427 5555448854 8333173281 11110897708 13888622135 16666346562 22221795416 27777244270 33332693124 41665866405 55554488540 66665386248 83331732810 111108977080 166663465620 333326931240 919426785337 1838853570674 2758280356011 3677707141348 4597133926685 5516560712022 7355414282696 9194267853370 11033121424044 13791401780055 18388535706740 22066242848088 27582803560110 36777071413480 55165607120220 110331214240440