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3402126212043 = 3132911334637687
BaseRepresentation
bin110001100000011110100…
…001100011101111001011
3110001020111000200102001010
4301200132201203233023
5421220023302241133
611122525403455003
7500536600443036
oct61403641435713
913036430612033
103402126212043
1110a191960a709
1246b431227463
131b8a85805b80
14ba94160a01d
155d76cb31263
hex3181e863bcb

3402126212043 has 64 divisors (see below), whose sum is σ = 5100413552640. Its totient is φ = 2002694658048.

The previous prime is 3402126212027. The next prime is 3402126212053.

3402126212043 is nontrivially palindromic in base 10.

3402126212043 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3402126212043 - 24 = 3402126212027 is a prime.

It is a super-3 number, since 3×34021262120433 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3402126212043.

It is not an unprimeable number, because it can be changed into a prime (3402126212053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442577946 + ... + 442585632.

It is an arithmetic number, because the mean of its divisors is an integer number (79693961760).

Almost surely, 23402126212043 is an apocalyptic number.

3402126212043 is a deficient number, since it is larger than the sum of its proper divisors (1698287340597).

3402126212043 is a wasteful number, since it uses less digits than its factorization.

3402126212043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308.

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 3402126212043 in words is "three trillion, four hundred two billion, one hundred twenty-six million, two hundred twelve thousand, forty-three".

Divisors: 1 3 13 29 39 87 113 339 377 1131 1469 3277 3463 4407 7687 9831 10389 23061 42601 45019 99931 100427 127803 135057 222923 299793 301281 391319 668769 868631 1173957 1305551 2605893 2897999 3916653 5087147 8693997 11292203 11348251 15261441 25190299 26620081 33876609 34044753 75570897 79860243 147527263 327473887 346061053 442581789 771982349 982421661 1038183159 2315947047 3008069153 9024207459 10035770537 30107311611 39104898989 87234005437 117314696967 261702016311 1134042070681 3402126212043