Search a number
-
+
145830400071 = 32313151160709
BaseRepresentation
bin1000011111010000101…
…0110101000001000111
3111221102011121220001120
42013310022311001013
54342130040300241
6150554335325023
713351545643146
oct2076412650107
9457364556046
10145830400071
1156934505aa4
122431a380773
13109a0788875
1470b5acd75d
153bd7a07666
hex21f42b5047

145830400071 has 16 divisors (see below), whose sum is σ = 202911160320. Its totient is φ = 92985648800.

The previous prime is 145830400013. The next prime is 145830400073. The reversal of 145830400071 is 170004038541.

It is a cyclic number.

It is not a de Polignac number, because 145830400071 - 213 = 145830391879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145830400073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827065 + ... + 987773.

It is an arithmetic number, because the mean of its divisors is an integer number (12681947520).

Almost surely, 2145830400071 is an apocalyptic number.

145830400071 is a deficient number, since it is larger than the sum of its proper divisors (57080760249).

145830400071 is a wasteful number, since it uses less digits than its factorization.

145830400071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173886.

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 145830400071 in words is "one hundred forty-five billion, eight hundred thirty million, four hundred thousand, seventy-one".

Divisors: 1 3 23 69 13151 39453 160709 302473 482127 907419 3696307 11088921 2113484059 6340452177 48610133357 145830400071