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242441251452 = 223223392879213
BaseRepresentation
bin1110000111001010011…
…1111110101001111100
3212011210010222122102100
43201302213332221330
512433004430021302
6303213113225100
723341630430661
oct3416247765174
9764703878370
10242441251452
1193900847624
123aba1102190
1319b290a170a
14ba3c9a9a68
15648e42ed1c
hex38729fea7c

242441251452 has 36 divisors (see below), whose sum is σ = 613099829160. Its totient is φ = 80779171872.

The previous prime is 242441251417. The next prime is 242441251489. The reversal of 242441251452 is 254152144242.

242441251452 is a `hidden beast` number, since 2 + 42 + 44 + 12 + 514 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2424412514522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1355403 + ... + 1523810.

It is an arithmetic number, because the mean of its divisors is an integer number (17030550810).

Almost surely, 2242441251452 is an apocalyptic number.

It is an amenable number.

242441251452 is an abundant number, since it is smaller than the sum of its proper divisors (370658577708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242441251452 is a wasteful number, since it uses less digits than its factorization.

242441251452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881562 (or 2881557 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

Adding to 242441251452 its reverse (254152144242), we get a palindrome (496593395694).

The spelling of 242441251452 in words is "two hundred forty-two billion, four hundred forty-one million, two hundred fifty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2339 4678 7017 9356 14034 21051 28068 42102 84204 2879213 5758426 8637639 11516852 17275278 25912917 34550556 51825834 103651668 6734479207 13468958414 20203437621 26937916828 40406875242 60610312863 80813750484 121220625726 242441251452