Search a number
-
+
4406452142365 = 5713233733733769
BaseRepresentation
bin100000000011111010100…
…0000111100000100011101
3120121020211020002212022201
41000013311000330010131
51034143403222023430
613212143550011501
7633232664133610
oct100076500740435
916536736085281
104406452142365
1114498473a4029
125b1bbbaa6b91
1325c6b009c6a0
141133b83aa177
157994e04e8ca
hex401f503c11d

4406452142365 has 128 divisors (see below), whose sum is σ = 6995389040640. Its totient is φ = 2587988164608.

The previous prime is 4406452142363. The next prime is 4406452142497. The reversal of 4406452142365 is 5632412546044.

It is not a de Polignac number, because 4406452142365 - 21 = 4406452142363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4406452142363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130471201 + ... + 130504969.

It is an arithmetic number, because the mean of its divisors is an integer number (54651476880).

Almost surely, 24406452142365 is an apocalyptic number.

It is an amenable number.

4406452142365 is a deficient number, since it is larger than the sum of its proper divisors (2588936898275).

4406452142365 is a wasteful number, since it uses less digits than its factorization.

4406452142365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34191.

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 4406452142365 in words is "four trillion, four hundred six billion, four hundred fifty-two million, one hundred forty-two thousand, three hundred sixty-five".

Divisors: 1 5 7 13 23 35 37 65 91 115 161 185 259 299 337 455 481 805 851 1295 1495 1685 2093 2359 2405 3367 4255 4381 5957 7751 10465 11063 11795 12469 16835 21905 29785 30667 33769 38755 54257 55315 62345 77441 87283 100763 153335 162097 168845 236383 271285 286787 387205 436415 438997 503815 705341 776687 810485 1134679 1181915 1249453 1433935 2007509 2194985 3072979 3526705 3728231 3883435 5436809 5673395 6247265 8746171 10037545 10096931 11380153 15364895 16242889 18641155 26097617 27184045 28737419 43730855 50484655 56900765 70678517 79661071 81214445 113700223 130488085 143687095 147941989 201161933 261743519 353392585 373586447 398305355 421065661 568501115 739709945 1005809665 1035593923 1308717595 1832204633 1867932235 2105328305 2615105129 2947459627 3402665747 5177969615 5473853593 9161023165 9684510203 13075525645 14737298135 17013328735 23818660229 27369267965 38316975151 48422551015 67791571421 119093301145 125898632639 191584875755 338957857105 629493163195 881290428473 4406452142365