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112401444042 = 23337473733209
BaseRepresentation
bin110100010101110100…
…1011110110011001010
3101202010110010222022000
41220223221132303022
53320144232202132
6123345253011430
711056261340016
oct1505351366312
9352113128260
10112401444042
114373a759608
121994b023b76
13a7a3b9cc04
1456240db546
152dccd5687c
hex1a2ba5ecca

112401444042 has 128 divisors (see below), whose sum is σ = 262774195200. Its totient is φ = 35572151808.

The previous prime is 112401444041. The next prime is 112401444047. The reversal of 112401444042 is 240444104211.

It is a happy number.

112401444042 is a `hidden beast` number, since 1 + 1 + 240 + 14 + 4 + 404 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112401443997 and 112401444015.

It is not an unprimeable number, because it can be changed into a prime (112401444041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35025334 + ... + 35028542.

It is an arithmetic number, because the mean of its divisors is an integer number (2052923400).

Almost surely, 2112401444042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112401444042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131387097600).

112401444042 is an abundant number, since it is smaller than the sum of its proper divisors (150372751158).

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

112401444042 is a wasteful number, since it uses less digits than its factorization.

112401444042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 112401444042 its reverse (240444104211), we get a palindrome (352845548253).

The spelling of 112401444042 in words is "one hundred twelve billion, four hundred one million, four hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 37 47 54 74 94 111 141 222 282 333 373 423 666 746 846 999 1119 1269 1739 1998 2238 2538 3209 3357 3478 5217 6418 6714 9627 10071 10434 13801 15651 17531 19254 20142 27602 28881 31302 35062 41403 46953 52593 57762 82806 86643 93906 105186 118733 124209 150823 157779 173286 237466 248418 301646 315558 356199 372627 452469 473337 648647 712398 745254 904938 946674 1068597 1196957 1297294 1357407 1945941 2137194 2393914 2714814 3205791 3590871 3891882 4072221 5580451 5837823 6411582 7181742 8144442 10772613 11160902 11675646 16741353 17513469 21545226 32317839 33482706 35026938 44287409 50224059 56256979 64635678 88574818 100448118 112513958 132862227 150672177 168770937 265724454 301344354 337541874 398586681 506312811 797173362 1012625622 1195760043 1518938433 2081508223 2391520086 3037876866 4163016446 6244524669 12489049338 18733574007 37467148014 56200722021 112401444042