Search a number
-
+
242235601947 = 35315732
BaseRepresentation
bin1110000110011001011…
…1011111010000011011
3212011020211000120100000
43201212113133100123
512432044303230242
6303140445344043
723333552433513
oct3414627372033
9764224016300
10242235601947
1193805756059
123ab44268023
1319ac55b9b11
14ba1d556843
15647b35ba4c
hex38665df41b

242235601947 has 18 divisors (see below), whose sum is σ = 362866468692. Its totient is φ = 161485286472.

The previous prime is 242235601931. The next prime is 242235601961. The reversal of 242235601947 is 749106532242.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

242235601947 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 35 + 601 + 9 + 4 + 7 = 666.

It is not a de Polignac number, because 242235601947 - 24 = 242235601931 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242235101947) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7656453 + ... + 7688025.

Almost surely, 2242235601947 is an apocalyptic number.

242235601947 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

242235601947 is a deficient number, since it is larger than the sum of its proper divisors (120630866745).

242235601947 is an frugal number, since it uses more digits than its factorization.

242235601947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63161 (or 31576 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 242235601947 in words is "two hundred forty-two billion, two hundred thirty-five million, six hundred one thousand, nine hundred forty-seven".

Divisors: 1 3 9 27 81 243 31573 94719 284157 852471 2557413 7672239 996854329 2990562987 8971688961 26915066883 80745200649 242235601947