Search a number
-
+
240252215531121 = 3286981306902549
BaseRepresentation
bin110110101000001000010011…
…111101101001011001110001
31011111122212221222120120100100
4312220020103331221121301
5222442243014133443441
62210550202155543013
7101414435604124443
oct6650102375513161
91144585858516310
10240252215531121
116a608435339a22
1222b425a4a5aa69
13a4098c0924191
1443483aac72493
151cb97a135dcb6
hexda8213f69671

240252215531121 has 12 divisors (see below), whose sum is σ = 347034968853300. Its totient is φ = 160166301750240.

The previous prime is 240252215531089. The next prime is 240252215531137. The reversal of 240252215531121 is 121135512252042.

240252215531121 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 52 + 21 + 553 + 11 + 21 = 666.

240252215531121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 73473355155600 + 166778860375521 = 8571660^2 + 12914289^2 .

It is not a de Polignac number, because 240252215531121 - 25 = 240252215531089 is a prime.

It is a super-2 number, since 2×2402522155311212 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (240252215539121) 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, 152668446 + ... + 154234103.

It is an arithmetic number, because the mean of its divisors is an integer number (28919580737775).

Almost surely, 2240252215531121 is an apocalyptic number.

It is an amenable number.

240252215531121 is a deficient number, since it is larger than the sum of its proper divisors (106782753322179).

240252215531121 is a wasteful number, since it uses less digits than its factorization.

240252215531121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306989536 (or 306989533 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 240252215531121 its reverse (121135512252042), we get a palindrome (361387727783163).

The spelling of 240252215531121 in words is "two hundred forty trillion, two hundred fifty-two billion, two hundred fifteen million, five hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 86981 260943 782829 306902549 920707647 2762122941 26694690614569 80084071843707 240252215531121