Search a number
-
+
243502560030 = 235411879105359
BaseRepresentation
bin1110001011000111100…
…0100011001100011110
3212021112010000201002110
43202301320203030132
512442143123410110
6303510304534450
723410135416042
oct3426170431436
9767463021073
10243502560030
11942a5935454
123b238621426
1319c67c26362
14badd916022
1565026c1a20
hex38b1e2331e

243502560030 has 64 divisors (see below), whose sum is σ = 598984243200. Its totient is φ = 63315943680.

The previous prime is 243502559999. The next prime is 243502560061. The reversal of 243502560030 is 30065205342.

243502560030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243502559999) and next prime (243502560061).

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

It is a self number, because there is not a number n which added to its sum of digits gives 243502560030.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2258491 + ... + 2363849.

It is an arithmetic number, because the mean of its divisors is an integer number (9359128800).

Almost surely, 2243502560030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243502560030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299492121600).

243502560030 is an abundant number, since it is smaller than the sum of its proper divisors (355481683170).

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

243502560030 is a wasteful number, since it uses less digits than its factorization.

243502560030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107289.

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 243502560030 its reverse (30065205342), we get a palindrome (273567765372).

The spelling of 243502560030 in words is "two hundred forty-three billion, five hundred two million, five hundred sixty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 1879 3758 5637 9395 11274 18790 28185 56370 77039 105359 154078 210718 231117 316077 385195 462234 526795 632154 770390 1053590 1155585 1580385 2311170 3160770 4319719 8639438 12959157 21598595 25918314 43197190 64795785 129591570 197969561 395939122 593908683 989847805 1187817366 1979695610 2969543415 5939086830 8116752001 16233504002 24350256003 40583760005 48700512006 81167520010 121751280015 243502560030