Search a number
-
+
146146312501 = 7601170920327
BaseRepresentation
bin1000100000011011111…
…1111100000100110101
3111222020012001220102221
42020012333330010311
54343301424000001
6151045542402341
713362433105510
oct2100677740465
9458205056387
10146146312501
1156a86868752
12243a81303b1
1310a210683b7
147105a45d77
153c0560b1a1
hex2206ffc135

146146312501 has 16 divisors (see below), whose sum is σ = 167408398080. Its totient is φ = 124980508800.

The previous prime is 146146312447. The next prime is 146146312531. The reversal of 146146312501 is 105213641641.

146146312501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-146146312501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146146312531) 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 15 ways as a sum of consecutive naturals, for example, 7179600 + ... + 7199926.

It is an arithmetic number, because the mean of its divisors is an integer number (10463024880).

Almost surely, 2146146312501 is an apocalyptic number.

It is an amenable number.

146146312501 is a deficient number, since it is larger than the sum of its proper divisors (21262085579).

146146312501 is a wasteful number, since it uses less digits than its factorization.

146146312501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22644.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 146146312501 in words is "one hundred forty-six billion, one hundred forty-six million, three hundred twelve thousand, five hundred one".

Divisors: 1 7 601 1709 4207 11963 20327 142289 1027109 7189763 12216527 34738843 85515689 243171901 20878044643 146146312501