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142417928689 = 1727922812
BaseRepresentation
bin1000010010100011000…
…1010010000111110001
3111121121100110101100121
42010220301102013301
54313132442204224
6145231554250241
713201151264041
oct2045061220761
9447540411317
10142417928689
1155443231813
1223727586981
13105787b732a
146c707d7721
153a88139be4
hex2128c521f1

142417928689 has 27 divisors (see below), whose sum is σ = 153774765921. Its totient is φ = 131872715520.

The previous prime is 142417928677. The next prime is 142417928707. The reversal of 142417928689 is 986829714241.

The square root of 142417928689 is 377383.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 29795938225 + 112621990464 = 172615^2 + 335592^2 .

It is not a de Polignac number, because 142417928689 - 25 = 142417928657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142417928089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 506825229 + ... + 506825509.

Almost surely, 2142417928689 is an apocalyptic number.

142417928689 is the 377383-rd square number.

142417928689 is the 188692-nd centered octagonal number.

It is an amenable number.

142417928689 is a deficient number, since it is larger than the sum of its proper divisors (11356837232).

142417928689 is an frugal number, since it uses more digits than its factorization.

142417928689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 377 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 61.

The spelling of 142417928689 in words is "one hundred forty-two billion, four hundred seventeen million, nine hundred twenty-eight thousand, six hundred eighty-nine".

Divisors: 1 17 79 281 289 1343 4777 6241 22199 22831 78961 81209 106097 377383 1342337 1753721 1803649 6237919 6415511 22819729 29813257 106044623 492795601 506825369 1802758591 8377525217 142417928689