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2124142414212 = 22372131012751323
BaseRepresentation
bin11110111010010000110…
…000010000100110000100
321112001210010200220111010
4132322100300100212010
5234300220424223322
64303452331442220
7306315141420600
oct36722060204604
97461703626433
102124142414212
11749931020025
122a380abb6370
131253c8a142c0
1474b4801c500
153a3c198a20c
hex1ee90c10984

2124142414212 has 144 divisors (see below), whose sum is σ = 6270509512512. Its totient is φ = 554666515200.

The previous prime is 2124142414189. The next prime is 2124142414231.

2124142414212 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2124142414212.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603618 + ... + 2147705.

It is an arithmetic number, because the mean of its divisors is an integer number (43545204948).

Almost surely, 22124142414212 is an apocalyptic number.

It is an amenable number.

2124142414212 is an abundant number, since it is smaller than the sum of its proper divisors (4146367098300).

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

2124142414212 is a wasteful number, since it uses less digits than its factorization.

2124142414212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751458 (or 2751449 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The spelling of 2124142414212 in words is "two trillion, one hundred twenty-four billion, one hundred forty-two million, four hundred fourteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 101 147 156 182 196 202 273 294 303 364 404 546 588 606 637 707 1092 1212 1274 1313 1414 1911 2121 2548 2626 2828 3822 3939 4242 4949 5252 7644 7878 8484 9191 9898 14847 15756 18382 19796 27573 29694 36764 55146 59388 64337 110292 128674 193011 257348 386022 772044 2751323 5502646 8253969 11005292 16507938 19259261 33015876 35767199 38518522 57777783 71534398 77037044 107301597 115555566 134814827 143068796 214603194 231111132 250370393 269629654 277883623 404444481 429206388 500740786 539259308 555767246 751111179 808888962 833650869 1001481572 1111534492 1502222358 1617777924 1667301738 1752592751 1945185361 3004444716 3334603476 3505185502 3612487099 3890370722 5257778253 5835556083 7010371004 7224974198 7780741444 10515556506 10837461297 11671112166 13616297527 14449948396 21031113012 21674922594 23342224332 25287409693 27232595054 40848892581 43349845188 50574819386 54465190108 75862229079 81697785162 101149638772 151724458158 163395570324 177011867851 303448916316 354023735702 531035603553 708047471404 1062071207106 2124142414212