Search a number
-
+
1406154351645 = 325311007995951
BaseRepresentation
bin10100011101100101010…
…101001010010000011101
311222102112022111020210200
4110131211111022100131
5141014301003223040
62553551155454113
7203406546531141
oct24354525122035
94872468436720
101406154351645
114a238a52281a
121a86322b7339
13a27a4966474
144c0b5b17221
152689d5d6630
hex1476554a41d

1406154351645 has 24 divisors (see below), whose sum is σ = 2515957896192. Its totient is φ = 725757084000.

The previous prime is 1406154351607. The next prime is 1406154351677. The reversal of 1406154351645 is 5461534516041.

1406154351645 is a `hidden beast` number, since 1 + 4 + 0 + 61 + 543 + 5 + 1 + 6 + 45 = 666.

It is not a de Polignac number, because 1406154351645 - 217 = 1406154220573 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 1406154351645.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 503996581 + ... + 503999370.

It is an arithmetic number, because the mean of its divisors is an integer number (104831579008).

Almost surely, 21406154351645 is an apocalyptic number.

1406154351645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1406154351645 is a deficient number, since it is larger than the sum of its proper divisors (1109803544547).

1406154351645 is a wasteful number, since it uses less digits than its factorization.

1406154351645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007995993 (or 1007995990 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 1406154351645 its reverse (5461534516041), we get a palindrome (6867688867686).

The spelling of 1406154351645 in words is "one trillion, four hundred six billion, one hundred fifty-four million, three hundred fifty-one thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1395 1007995951 3023987853 5039979755 9071963559 15119939265 31247874481 45359817795 93743623443 156239372405 281230870329 468718117215 1406154351645