Search a number
-
+
14311242302130 = 2345372124910333
BaseRepresentation
bin1101000001000001100010…
…0000111000001010110010
31212200010211002020002210000
43100100120200320022302
53333433411012132010
650234254405450430
73004644632310114
oct320203040701262
955603732202700
1014311242302130
114618400205974
121731746110a16
137ca70cc55b27
1437694c7153b4
1519c40555e7c0
hexd04188382b2

14311242302130 has 240 divisors, whose sum is σ = 39584981205000. Its totient is φ = 3709855199232.

The previous prime is 14311242302113. The next prime is 14311242302131. The reversal of 14311242302130 is 3120324211341.

14311242302130 is a `hidden beast` number, since 1 + 4 + 311 + 2 + 42 + 302 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 8149523339169 + 6161718962961 = 2854737^2 + 2482281^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14311242302094 and 14311242302103.

It is not an unprimeable number, because it can be changed into a prime (14311242302131) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1384998444 + ... + 1385008776.

Almost surely, 214311242302130 is an apocalyptic number.

14311242302130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14311242302130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19792490602500).

14311242302130 is an abundant number, since it is smaller than the sum of its proper divisors (25273738902870).

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

14311242302130 is a wasteful number, since it uses less digits than its factorization.

14311242302130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11675 (or 11629 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14311242302130 its reverse (3120324211341), we get a palindrome (17431566513471).

The spelling of 14311242302130 in words is "fourteen trillion, three hundred eleven billion, two hundred forty-two million, three hundred two thousand, one hundred thirty".