Search a number
-
+
242621224140 = 22357156953339
BaseRepresentation
bin1110000111110101011…
…0100001010011001100
3212012020200122012112110
43201331112201103030
512433342013133030
6303243022504020
723346244243461
oct3417526412314
9765220565473
10242621224140
11939933a0789
123b031435010
1319b57466029
14ba58857668
1564a01301b0
hex387d5a14cc

242621224140 has 48 divisors (see below), whose sum is σ = 688907600640. Its totient is φ = 63787738560.

The previous prime is 242621224093. The next prime is 242621224141. The reversal of 242621224140 is 41422126242.

242621224140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 242621224098 and 242621224107.

It is not an unprimeable number, because it can be changed into a prime (242621224141) 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 15 ways as a sum of consecutive naturals, for example, 28472410 + ... + 28480929.

It is an arithmetic number, because the mean of its divisors is an integer number (14352241680).

Almost surely, 2242621224140 is an apocalyptic number.

242621224140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242621224140 is an abundant number, since it is smaller than the sum of its proper divisors (446286376500).

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

242621224140 is a wasteful number, since it uses less digits than its factorization.

242621224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56953422 (or 56953420 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 242621224140 in words is "two hundred forty-two billion, six hundred twenty-one million, two hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 56953339 113906678 170860017 227813356 284766695 341720034 569533390 683440068 854300085 1139066780 1708600170 3417200340 4043687069 8087374138 12131061207 16174748276 20218435345 24262122414 40436870690 48524244828 60655306035 80873741380 121310612070 242621224140