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242002001232 = 243210333162641
BaseRepresentation
bin1110000101100001110…
…0010111110101010000
3212010122112110102101200
43201120130113311100
512431110003014412
6303101342431200
723325015033045
oct3413034276520
9763575412350
10242002001232
11936a5903412
123aa99b92500
1319a89099944
14b9da5091cc
156465ab69dc
hex3858717d50

242002001232 has 60 divisors (see below), whose sum is σ = 677339198484. Its totient is φ = 80659031040.

The previous prime is 242002001207. The next prime is 242002001233. The reversal of 242002001232 is 232100200242.

242002001232 is a `hidden beast` number, since 2 + 420 + 0 + 200 + 12 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73790462736 + 168211538496 = 271644^2 + 410136^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242002001233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1406632 + ... + 1569272.

Almost surely, 2242002001232 is an apocalyptic number.

It is an amenable number.

242002001232 is an abundant number, since it is smaller than the sum of its proper divisors (435337197252).

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

242002001232 is a wasteful number, since it uses less digits than its factorization.

242002001232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172988 (or 172979 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 242002001232 its reverse (232100200242), we get a palindrome (474102201474).

The spelling of 242002001232 in words is "two hundred forty-two billion, two million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 10333 20666 30999 41332 61998 82664 92997 123996 162641 165328 185994 247992 325282 371988 487923 495984 650564 743976 975846 1301128 1463769 1487952 1951692 2602256 2927538 3903384 5855076 7806768 11710152 23420304 1680569453 3361138906 5041708359 6722277812 10083416718 13444555624 15125125077 20166833436 26889111248 30250250154 40333666872 60500500308 80667333744 121001000616 242002001232