Search a number
-
+
145766029201 = 13103257423587
BaseRepresentation
bin1000011111000001010…
…1010001011110010001
3111221020200111111211021
42013300111101132101
54342012100413301
6150544115515441
713350134543032
oct2076025213621
9457220444737
10145766029201
115690113a231
12243008b8b81
131099033b2b0
1470ab334a89
153bd203e8a1
hex21f0551791

145766029201 has 16 divisors (see below), whose sum is σ = 159119985024. Its totient is φ = 132728131584.

The previous prime is 145766029183. The next prime is 145766029223. The reversal of 145766029201 is 102920667541.

It is a cyclic number.

It is not a de Polignac number, because 145766029201 - 211 = 145766027153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145766029271) 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, 132330 + ... + 555916.

It is an arithmetic number, because the mean of its divisors is an integer number (9944999064).

Almost surely, 2145766029201 is an apocalyptic number.

It is an amenable number.

145766029201 is a deficient number, since it is larger than the sum of its proper divisors (13353955823).

145766029201 is a wasteful number, since it uses less digits than its factorization.

145766029201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423960.

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 145766029201 in words is "one hundred forty-five billion, seven hundred sixty-six million, twenty-nine thousand, two hundred one".

Divisors: 1 13 103 257 1339 3341 26471 344123 423587 5506631 43629461 108861859 567182993 1415204167 11212771477 145766029201