Search a number
-
+
151245131544 = 233213794994099
BaseRepresentation
bin1000110011011011101…
…0011000111100011000
3112110101112101202020200
42030312322120330120
54434222223202134
6153251524022200
713632665256243
oct2146672307430
9473345352220
10151245131544
1159162a2a991
122538b831960
13113545160a0
14746acac25a
153e03082499
hex2336e98f18

151245131544 has 192 divisors, whose sum is σ = 447720000000. Its totient is φ = 45844621056.

The previous prime is 151245131533. The next prime is 151245131549. The reversal of 151245131544 is 445131542151.

151245131544 is a `hidden beast` number, since 1 + 5 + 124 + 513 + 15 + 4 + 4 = 666.

151245131544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151245131499 and 151245131508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151245131549) 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 47 ways as a sum of consecutive naturals, for example, 36896007 + ... + 36900105.

It is an arithmetic number, because the mean of its divisors is an integer number (2331875000).

Almost surely, 2151245131544 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 151245131544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223860000000).

151245131544 is an abundant number, since it is smaller than the sum of its proper divisors (296474868456).

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

151245131544 is a wasteful number, since it uses less digits than its factorization.

151245131544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4695 counting only the distinct ones).

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

Adding to 151245131544 its reverse (445131542151), we get a palindrome (596376673695).

The spelling of 151245131544 in words is "one hundred fifty-one billion, two hundred forty-five million, one hundred thirty-one thousand, five hundred forty-four".