Search a number
-
+
242054640618 = 23737251620567
BaseRepresentation
bin1110000101101110010…
…1001011001111101010
3212010210012111210001120
43201123211023033222
512431211441444433
6303110503000110
723326224332460
oct3413345131752
9763705453046
10242054640618
119372259713a
123aab3739036
1319a96c6a4cb
14ba034cc830
15646a5137b3
hex385b94b3ea

242054640618 has 64 divisors (see below), whose sum is σ = 570485680128. Its totient is φ = 67021128000.

The previous prime is 242054640617. The next prime is 242054640629. The reversal of 242054640618 is 816046450242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 242054640618.

It is not an unprimeable number, because it can be changed into a prime (242054640617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79771 + ... + 700337.

It is an arithmetic number, because the mean of its divisors is an integer number (8913838752).

Almost surely, 2242054640618 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242054640618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285242840064).

242054640618 is an abundant number, since it is smaller than the sum of its proper divisors (328431039510).

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

242054640618 is a wasteful number, since it uses less digits than its factorization.

242054640618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620867.

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 242054640618 in words is "two hundred forty-two billion, fifty-four million, six hundred forty thousand, six hundred eighteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 251 259 502 518 753 777 1506 1554 1757 3514 5271 9287 10542 18574 27861 55722 65009 130018 195027 390054 620567 1241134 1861701 3723402 4343969 8687938 13031907 22960979 26063814 45921958 68882937 137765874 155762317 160726853 311524634 321453706 467286951 482180559 934573902 964361118 1090336219 2180672438 3271008657 5763205729 6542017314 11526411458 17289617187 34579234374 40342440103 80684880206 121027320309 242054640618