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120034412234442 = 234192310871559839
BaseRepresentation
bin11011010010101110110000…
…100000001000011011001010
3120202000011210120110200010000
4123102232300200020123022
5111213120434013000232
61103143014150303430
734166125430305236
oct3322566040103312
9522004716420100
10120034412234442
1135279343463292
1211567581957b76
1351c9272949684
14218d9a74995c6
15dd25857d327c
hex6d2bb08086ca

120034412234442 has 160 divisors (see below), whose sum is σ = 295703735500800. Its totient is φ = 36224155310112.

The previous prime is 120034412234441. The next prime is 120034412234579. The reversal of 120034412234442 is 244432214430021.

120034412234442 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 3 + 4 + 412 + 234 + 4 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 120034412234397 and 120034412234406.

It is not an unprimeable number, because it can be changed into a prime (120034412234441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76173159 + ... + 77732997.

It is an arithmetic number, because the mean of its divisors is an integer number (1848148346880).

Almost surely, 2120034412234442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120034412234442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147851867750400).

120034412234442 is an abundant number, since it is smaller than the sum of its proper divisors (175669323266358).

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

120034412234442 is a wasteful number, since it uses less digits than its factorization.

120034412234442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560982 (or 1560973 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 120034412234442 its reverse (244432214430021), we get a palindrome (364466626664463).

The spelling of 120034412234442 in words is "one hundred twenty trillion, thirty-four billion, four hundred twelve million, two hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 114 138 162 171 207 342 414 437 513 621 874 1026 1087 1242 1311 1539 1863 2174 2622 3078 3261 3726 3933 6522 7866 9783 11799 19566 20653 23598 25001 29349 35397 41306 50002 58698 61959 70794 75003 88047 123918 150006 176094 185877 225009 371754 450018 475019 557631 675027 950038 1115262 1350054 1425057 1559839 1672893 2025081 2850114 3119678 3345786 4050162 4275171 4679517 8550342 9359034 12825513 14038551 25651026 28077102 29636941 35876297 38476539 42115653 59273882 71752594 76953078 84231306 88910823 107628891 126346959 177821646 215257782 252693918 266732469 322886673 533464938 645773346 681649643 800197407 968660019 1363299286 1600394814 1695544993 1937320038 2044948929 2400592221 2905980057 3391089986 4089897858 4801184442 5086634979 5811960114 6134846787 10173269958 12269693574 15259904937 18404540361 30519809874 32215354867 36809080722 38997534839 45779714811 55213621083 64430709734 77995069678 91559429622 96646064601 110427242166 116992604517 137339144433 193292129202 233985209034 274678288866 289938193803 350977813551 579876387606 701955627102 740953161941 869814581409 1052933440653 1481906323882 1739629162818 2105866881306 2222859485823 2609443744227 3158800321959 4445718971646 5218887488454 6317600643918 6668578457469 13337156914938 20005735372407 40011470744814 60017206117221 120034412234442