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440232114112 = 2672953639337
BaseRepresentation
bin1100110011111111110…
…00001111011111000000
31120002022112101112012021
412121333320033133000
524203043410122422
6534123450011224
743543235141230
oct6317770173700
91502275345167
10440232114112
1115a77960818a
12713a0a16b14
133268a81021b
1417443511cc0
15b6b897edc7
hex667fe0f7c0

440232114112 has 112 divisors (see below), whose sum is σ = 1052299200960. Its totient is φ = 178727657472.

The previous prime is 440232114089. The next prime is 440232114131. The reversal of 440232114112 is 211411232044.

It is a tau number, because it is divible by the number of its divisors (112).

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, 368908 + ... + 1008244.

It is an arithmetic number, because the mean of its divisors is an integer number (9395528580).

Almost surely, 2440232114112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440232114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526149600480).

440232114112 is an abundant number, since it is smaller than the sum of its proper divisors (612067086848).

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

440232114112 is a wasteful number, since it uses less digits than its factorization.

440232114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639438 (or 639428 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 440232114112 its reverse (211411232044), we get a palindrome (651643346156).

The spelling of 440232114112 in words is "four hundred forty billion, two hundred thirty-two million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 53 56 58 64 106 112 116 203 212 224 232 371 406 424 448 464 742 812 848 928 1484 1537 1624 1696 1856 2968 3074 3248 3392 5936 6148 6496 10759 11872 12296 12992 21518 23744 24592 43036 49184 86072 98368 172144 344288 639337 688576 1278674 2557348 4475359 5114696 8950718 10229392 17901436 18540773 20458784 33884861 35802872 37081546 40917568 67769722 71605744 74163092 129785411 135539444 143211488 148326184 237194027 259570822 271078888 286422976 296652368 474388054 519141644 542157776 593304736 948776108 982660969 1038283288 1084315552 1186609472 1897552216 1965321938 2076566576 2168631104 3795104432 3930643876 4153133152 6878626783 7590208864 7861287752 8306266304 13757253566 15180417728 15722575504 27514507132 31445151008 55029014264 62890302016 110058028528 220116057056 440232114112