Search a number
-
+
242971357629 = 371121321997307
BaseRepresentation
bin1110001001001000111…
…0001011000110111101
3212020011002110211101110
43202102032023012331
512440101131421004
6303341451232233
723361025315020
oct3422216130675
9766132424343
10242971357629
1194052aa7200
123b10a748679
1319bb1b67c00
14ba8d15b1b7
1564c0c43589
hex389238b1bd

242971357629 has 288 divisors, whose sum is σ = 470174960640. Its totient is φ = 108883906560.

The previous prime is 242971357597. The next prime is 242971357639. The reversal of 242971357629 is 926753179242.

242971357629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242971357629 - 25 = 242971357597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242971357639) 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 287 ways as a sum of consecutive naturals, for example, 791437494 + ... + 791437800.

Almost surely, 2242971357629 is an apocalyptic number.

It is an amenable number.

242971357629 is a deficient number, since it is larger than the sum of its proper divisors (227203603011).

242971357629 is a wasteful number, since it uses less digits than its factorization.

242971357629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 457 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 57.

The spelling of 242971357629 in words is "two hundred forty-two billion, nine hundred seventy-one million, three hundred fifty-seven thousand, six hundred twenty-nine".