Search a number
-
+
240511030424 = 237217673131721
BaseRepresentation
bin1101111111111110010…
…0110001010010011000
3211222210121221020221122
43133333210301102120
512420031310433144
6302253402024412
723243042012300
oct3377744612230
9758717836848
10240511030424
119300022aa35
123a7427a8108
13198ac2193b2
14b8d84b6600
1563c9c527ee
hex37ff931498

240511030424 has 192 divisors, whose sum is σ = 565861736160. Its totient is φ = 95204229120.

The previous prime is 240511030399. The next prime is 240511030427. The reversal of 240511030424 is 424030115042.

It is a super-2 number, since 2×2405110304242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 240511030393 and 240511030402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240511030427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139749884 + ... + 139751604.

Almost surely, 2240511030424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240511030424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282930868080).

240511030424 is an abundant number, since it is smaller than the sum of its proper divisors (325350705736).

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

240511030424 is a wasteful number, since it uses less digits than its factorization.

240511030424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2138 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 240511030424 its reverse (424030115042), we get a palindrome (664541145466).

The spelling of 240511030424 in words is "two hundred forty billion, five hundred eleven million, thirty thousand, four hundred twenty-four".