Search a number
-
+
4134228305706 = 234711672152309
BaseRepresentation
bin111100001010010011001…
…101011010011100101010
3112122020011110221010120000
4330022103031122130222
51020213344421240311
612443123244243430
7604455013532262
oct74122315323452
915566143833500
104134228305706
111354353110424
125692a8840576
1323cb189a99b5
141041521cc7a2
157281a140056
hex3c29335a72a

4134228305706 has 80 divisors (see below), whose sum is σ = 9450466058880. Its totient is φ = 1350530223840.

The previous prime is 4134228305699. The next prime is 4134228305723. The reversal of 4134228305706 is 6075038224314.

4134228305706 is a `hidden beast` number, since 4 + 1 + 3 + 42 + 2 + 8 + 30 + 570 + 6 = 666.

4134228305706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 844680 + ... + 2996988.

It is an arithmetic number, because the mean of its divisors is an integer number (118130825736).

Almost surely, 24134228305706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134228305706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725233029440).

4134228305706 is an abundant number, since it is smaller than the sum of its proper divisors (5316237753174).

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

4134228305706 is a wasteful number, since it uses less digits than its factorization.

4134228305706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152561 (or 2152552 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4134228305706 in words is "four trillion, one hundred thirty-four billion, two hundred twenty-eight million, three hundred five thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 27 54 71 81 142 162 167 213 334 426 501 639 1002 1278 1503 1917 3006 3834 4509 5751 9018 11502 11857 13527 23714 27054 35571 71142 106713 213426 320139 640278 960417 1920834 2152309 4304618 6456927 12913854 19370781 38741562 58112343 116224686 152813939 174337029 305627878 348674058 359435603 458441817 718871206 916883634 1078306809 1375325451 2156613618 2750650902 3234920427 4125976353 6469840854 8251952706 9704761281 12377929059 19409522562 24755858118 25519927813 29114283843 51039855626 58228567686 76559783439 153119566878 229679350317 459358700634 689038050951 1378076101902 2067114152853 4134228305706