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242120144401332 = 22371337184300971
BaseRepresentation
bin110111000011010011111101…
…001100110011001110110100
31011202021110102011021212201220
4313003103331030303032310
5223213344023431320312
62214540243034150340
7101666413613423061
oct6703237514631664
91152243364255656
10242120144401332
117016863850116a
12231a460a5823b0
13a513aa7193832
1443b096b163c68
151ced179764c8c
hexdc34fd3333b4

242120144401332 has 48 divisors (see below), whose sum is σ = 573073961209344. Its totient is φ = 79546395292000.

The previous prime is 242120144401207. The next prime is 242120144401349. The reversal of 242120144401332 is 233104441021242.

It is a junction number, because it is equal to n+sod(n) for n = 242120144401293 and 242120144401302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39278394 + ... + 45022577.

It is an arithmetic number, because the mean of its divisors is an integer number (11939040858528).

Almost surely, 2242120144401332 is an apocalyptic number.

It is an amenable number.

242120144401332 is an abundant number, since it is smaller than the sum of its proper divisors (330953816808012).

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

242120144401332 is a wasteful number, since it uses less digits than its factorization.

242120144401332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84304420 (or 84304418 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 242120144401332 its reverse (233104441021242), we get a palindrome (475224585422574).

The spelling of 242120144401332 in words is "two hundred forty-two trillion, one hundred twenty billion, one hundred forty-four million, four hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 3371 6742 10113 13484 20226 40452 239341 478682 718023 957364 1436046 2872092 84300971 168601942 252902913 337203884 505805826 1011611652 5985368941 11970737882 17956106823 23941475764 35912213646 71824427292 284178573241 568357146482 852535719723 1136714292964 1705071439446 3410142878892 20176678700111 40353357400222 60530036100333 80706714800444 121060072200666 242120144401332