Search a number
-
+
242000454454421 = 13291758136511633
BaseRepresentation
bin110111000001100100011111…
…000111111000110010010101
31011201212000110202112121010012
4313001210133013320302111
5223204413412320020141
62214405250215210005
7101654645600600405
oct6701443707706225
91151760422477105
10242000454454421
11701218a8667573
1223185386676905
13a5057112b7040
1443a8c5508a805
151ce9ec1b06ceb
hexdc191f1f8c95

242000454454421 has 16 divisors (see below), whose sum is σ = 269617970574960. Its totient is φ = 215669828828160.

The previous prime is 242000454454417. The next prime is 242000454454463. The reversal of 242000454454421 is 124454454000242.

It can be written as a sum of positive squares in 8 ways, for example, as 99214946848900 + 142785507605521 = 9960670^2 + 11949289^2 .

It is a cyclic number.

It is not a de Polignac number, because 242000454454421 - 22 = 242000454454417 is a prime.

It is a super-2 number, since 2×2420004544544212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242000454454481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11627780 + ... + 24883853.

It is an arithmetic number, because the mean of its divisors is an integer number (16851123160935).

Almost surely, 2242000454454421 is an apocalyptic number.

It is an amenable number.

242000454454421 is a deficient number, since it is larger than the sum of its proper divisors (27617516120539).

242000454454421 is a wasteful number, since it uses less digits than its factorization.

242000454454421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36529256.

The product of its (nonzero) digits is 819200, while the sum is 41.

The spelling of 242000454454421 in words is "two hundred forty-two trillion, four hundred fifty-four million, four hundred fifty-four thousand, four hundred twenty-one".

Divisors: 1 13 29 377 17581 228553 509849 6628037 36511633 474651229 1058837357 13764885641 641911019773 8344843257049 18615419573417 242000454454421