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242036448784 = 2413294612
BaseRepresentation
bin1110000101101001111…
…1110001111000010000
3212010201221021112112221
43201122133301320100
512431142312330114
6303105013030424
723325613604164
oct3413237617020
9763657245487
10242036448784
11937132a1369
123aaa9625414
1319a9326b100
14ba00d14ca4
156468b1d524
hex385a7f1e10

242036448784 has 45 divisors (see below), whose sum is σ = 507846863559. Its totient is φ = 111697322880.

The previous prime is 242036448781. The next prime is 242036448799. The reversal of 242036448784 is 487844630242.

The square root of 242036448784 is 491972.

It is a perfect power (a square), and thus also a powerful number.

242036448784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3767504400 + 238268944384 = 61380^2 + 488128^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242036448781) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 25577814 + ... + 25587274.

Almost surely, 2242036448784 is an apocalyptic number.

242036448784 is the 491972-nd square number.

It is an amenable number.

242036448784 is an abundant number, since it is smaller than the sum of its proper divisors (265810414775).

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

242036448784 is an frugal number, since it uses more digits than its factorization.

242036448784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18956 (or 9476 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 52.

The spelling of 242036448784 in words is "two hundred forty-two billion, thirty-six million, four hundred forty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 9461 18922 37844 75688 122993 151376 245986 491972 983944 1598909 1967888 3197818 6395636 12791272 25582544 89510521 179021042 358042084 716084168 1163636773 1432168336 2327273546 4654547092 9309094184 15127278049 18618188368 30254556098 60509112196 121018224392 242036448784