Search a number
-
+
4404135335445 = 335291124938783
BaseRepresentation
bin100000000010110101011…
…1011000001011000010101
3120121000211202121212201000
41000011222323001120111
51034124132121213240
613211122024453513
7633121402452516
oct100055273013025
916530752555630
104404135335445
11144886864376a
125b167401a299
1325c4010c1611
14113238804a0d
157986595d430
hex4016aec1615

4404135335445 has 32 divisors (see below), whose sum is σ = 8099559244800. Its totient is φ = 2267876584512.

The previous prime is 4404135335443. The next prime is 4404135335477. The reversal of 4404135335445 is 5445335314044.

4404135335445 is a `hidden beast` number, since 4 + 4 + 0 + 41 + 35 + 33 + 544 + 5 = 666.

4404135335445 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4404135335445 - 21 = 4404135335443 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4404135335445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404135335443) 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 31 ways as a sum of consecutive naturals, for example, 562465477 + ... + 562473306.

It is an arithmetic number, because the mean of its divisors is an integer number (253111226400).

Almost surely, 24404135335445 is an apocalyptic number.

4404135335445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4404135335445 is a deficient number, since it is larger than the sum of its proper divisors (3695423909355).

4404135335445 is a wasteful number, since it uses less digits than its factorization.

4404135335445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124938826 (or 1124938820 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 4404135335445 in words is "four trillion, four hundred four billion, one hundred thirty-five million, three hundred thirty-five thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 435 783 1305 3915 1124938783 3374816349 5624693915 10124449047 16874081745 30373347141 32623224707 50622245235 97869674121 151866735705 163116123535 293609022363 489348370605 880827067089 1468045111815 4404135335445