Search a number
-
+
17142440156401 = 715154797730347
BaseRepresentation
bin1111100101110100100100…
…0011100101110011110001
32020200210122010110220020211
43321131021003211303301
54221330204140001101
6100243043413304121
73416333435066440
oct371351103456361
966623563426224
1017142440156401
11550a08262508a
121b0a3a0635041
139746a9a51561
144339acaa6d57
151eadaa6bcc51
hexf97490e5cf1

17142440156401 has 32 divisors (see below), whose sum is σ = 19778031470592. Its totient is φ = 14554135814400.

The previous prime is 17142440156383. The next prime is 17142440156447. The reversal of 17142440156401 is 10465104424171.

It is not a de Polignac number, because 17142440156401 - 217 = 17142440025329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (17142440159401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 564865710 + ... + 564896056.

It is an arithmetic number, because the mean of its divisors is an integer number (618063483456).

Almost surely, 217142440156401 is an apocalyptic number.

It is an amenable number.

17142440156401 is a deficient number, since it is larger than the sum of its proper divisors (2635591314191).

17142440156401 is a wasteful number, since it uses less digits than its factorization.

17142440156401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32029.

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 17142440156401 in words is "seventeen trillion, one hundred forty-two billion, four hundred forty million, one hundred fifty-six thousand, four hundred one".

Divisors: 1 7 151 547 977 1057 3829 6839 30347 82597 147527 212429 534419 578179 1032689 3740933 4582397 16599809 29649019 32076779 80697269 116198663 207543133 564880883 2506571159 4477001869 16218013393 17545998113 31339013083 113526093751 2448920022343 17142440156401