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214402350004122 = 237277131913971907
BaseRepresentation
bin110000101111111101101111…
…111010010011011110011010
31001010010122221102001221221110
4300233331233322103132122
5211100232003100112442
62035555025125321150
763106026050413230
oct6057755772233632
91033118842057843
10214402350004122
11623515871351a5
12200687412661b6
139283093683537
143ad31b43bc950
1519bc16cd3369c
hexc2ff6fe9379a

214402350004122 has 64 divisors (see below), whose sum is σ = 492204610529280. Its totient is φ = 60990387621696.

The previous prime is 214402350004099. The next prime is 214402350004253. The reversal of 214402350004122 is 221400053204412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 214402350004122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8359293 + ... + 22331199.

It is an arithmetic number, because the mean of its divisors is an integer number (7690697039520).

Almost surely, 2214402350004122 is an apocalyptic number.

214402350004122 is an abundant number, since it is smaller than the sum of its proper divisors (277802260525158).

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

214402350004122 is a wasteful number, since it uses less digits than its factorization.

214402350004122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13973515.

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 214402350004122 in words is "two hundred fourteen trillion, four hundred two billion, three hundred fifty million, four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 277 554 831 1319 1662 1939 2638 3878 3957 5817 7914 9233 11634 18466 27699 55398 365363 730726 1096089 2192178 2557541 5115082 7672623 13971907 15345246 27943814 41915721 83831442 97803349 195606698 293410047 586820094 3870218239 7740436478 11610654717 18428945333 23221309434 27091527673 36857890666 54183055346 55286835999 81274583019 110573671998 129002617331 162549166038 258005234662 387007851993 774015703986 5104817857241 10209635714482 15314453571723 30628907143446 35733725000687 71467450001374 107201175002061 214402350004122