Search a number
-
+
3402126613106 = 2135916979130621
BaseRepresentation
bin110001100000011110100…
…011000101101001110010
3110001020111001102210012022
4301200132203011221302
5421220023403104411
611122525420231442
7500536604033234
oct61403643055162
913036431383168
103402126613106
1110a1919863a71
1246b43139b582
131b8a859165a0
14ba9416b2254
155d76cbaeedb
hex3181e8c5a72

3402126613106 has 32 divisors (see below), whose sum is σ = 5589263131200. Its totient is φ = 1543495786560.

The previous prime is 3402126613103. The next prime is 3402126613133. The reversal of 3402126613106 is 6013166212043.

It is a super-3 number, since 3×34021266131063 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3402126613103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25980476 + ... + 26111096.

It is an arithmetic number, because the mean of its divisors is an integer number (174664472850).

Almost surely, 23402126613106 is an apocalyptic number.

3402126613106 is a deficient number, since it is larger than the sum of its proper divisors (2187136518094).

3402126613106 is a wasteful number, since it uses less digits than its factorization.

3402126613106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147674.

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 3402126613106 in words is "three trillion, four hundred two billion, one hundred twenty-six million, six hundred thirteen thousand, one hundred six".

Divisors: 1 2 13 26 59 118 767 1534 16979 33958 130621 220727 261242 441454 1001761 1698073 2003522 3396146 7706639 13022893 15413278 26045786 100186307 200372614 2217813959 4435627918 28831581467 57663162934 130851023581 261702047162 1701063306553 3402126613106