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242004440424 = 23337893062107
BaseRepresentation
bin1110000101100010010…
…1101011010101101000
3212010122201001100100010
43201120211223111220
512431111114043144
6303101511011520
723325044542305
oct3413045532550
9763581040303
10242004440424
11936a7219a7a
123aa9a969ba0
1319a89741c56
14b9da9820ac
156465de95b9
hex385896b568

242004440424 has 64 divisors (see below), whose sum is σ = 628344561600. Its totient is φ = 77606014464.

The previous prime is 242004440417. The next prime is 242004440441. The reversal of 242004440424 is 424044400242.

It is a super-2 number, since 2×2420044404242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242004440391 and 242004440400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1452022 + ... + 1610085.

It is an arithmetic number, because the mean of its divisors is an integer number (9817883775).

Almost surely, 2242004440424 is an apocalyptic number.

242004440424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242004440424 is an abundant number, since it is smaller than the sum of its proper divisors (386340121176).

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

242004440424 is a wasteful number, since it uses less digits than its factorization.

242004440424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062242 (or 3062238 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 242004440424 its reverse (424044400242), we get a palindrome (666048840666).

The spelling of 242004440424 in words is "two hundred forty-two billion, four million, four hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 89 111 148 178 222 267 296 356 444 534 712 888 1068 2136 3293 6586 9879 13172 19758 26344 39516 79032 3062107 6124214 9186321 12248428 18372642 24496856 36745284 73490568 113297959 226595918 272527523 339893877 453191836 545055046 679787754 817582569 906383672 1090110092 1359575508 1635165138 2180220184 2719151016 3270330276 6540660552 10083518351 20167036702 30250555053 40334073404 60501110106 80668146808 121002220212 242004440424