Search a number
-
+
45214433441254 = 27112914411702529
BaseRepresentation
bin10100100011111010011100…
…01111100111010111100110
312221002110100121101121102101
422101331032033213113212
521411243124430110004
6240055120213402314
712344430545013430
oct1221751617472746
9187073317347371
1045214433441254
1113452373a37880
1250a2a3a33939a
131c2c91a00977c
14b24566c07650
155361e7ab2ba4
hex291f4e3e75e6

45214433441254 has 64 divisors (see below), whose sum is σ = 87478810790400. Its totient is φ = 17007359846400.

The previous prime is 45214433441251. The next prime is 45214433441291.

45214433441254 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45214433441251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64008262 + ... + 64710790.

It is an arithmetic number, because the mean of its divisors is an integer number (1366856418600).

Almost surely, 245214433441254 is an apocalyptic number.

45214433441254 is a deficient number, since it is larger than the sum of its proper divisors (42264377349146).

45214433441254 is a wasteful number, since it uses less digits than its factorization.

45214433441254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716989.

The product of its digits is 3686400, while the sum is 46.

It can be divided in two parts, 4521443 and 3441254, that added together give a palindrome (7962697).

The spelling of 45214433441254 in words is "forty-five trillion, two hundred fourteen billion, four hundred thirty-three million, four hundred forty-one thousand, two hundred fifty-four".

Divisors: 1 2 7 11 14 22 29 58 77 154 203 319 406 638 2233 4466 14411 28822 100877 158521 201754 317042 417919 702529 835838 1109647 1405058 2219294 2925433 4597109 4917703 5850866 7727819 9194218 9835406 15455638 20373341 32179763 40746682 54094733 64359526 108189466 142613387 224106751 285226774 448213502 1568747257 3137494514 10124145419 20248290838 70869017933 111365599609 141738035866 222731199218 293600217151 587200434302 779559197263 1559118394526 2055201520057 3229602388661 4110403040114 6459204777322 22607216720627 45214433441254