Search a number
-
+
146212212641 = 1170929176427
BaseRepresentation
bin1000100000101011101…
…1010100111110100001
3111222101210001222102212
42020022323110332201
54343420311301031
6151100255051505
713364163205265
oct2101273247641
9458353058385
10146212212641
115700aa89480
1224406210b95
1310a318cca71
1471106bc0a5
153c0b2c712b
hex220aed4fa1

146212212641 has 16 divisors (see below), whose sum is σ = 159808822080. Its totient is φ = 132666569280.

The previous prime is 146212212623. The next prime is 146212212701.

146212212641 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 146212212641 - 218 = 146211950497 is a prime.

It is a super-2 number, since 2×1462122126412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146212212598 and 146212212607.

It is not an unprimeable number, because it can be changed into a prime (146212211641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22746470 + ... + 22752896.

It is an arithmetic number, because the mean of its divisors is an integer number (9988051380).

Almost surely, 2146212212641 is an apocalyptic number.

146212212641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146212212641 is a deficient number, since it is larger than the sum of its proper divisors (13596609439).

146212212641 is a wasteful number, since it uses less digits than its factorization.

146212212641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10064.

The product of its digits is 9216, while the sum is 32.

It can be divided in two parts, 146212 and 212641, that added together give a palindrome (358853).

The spelling of 146212212641 in words is "one hundred forty-six billion, two hundred twelve million, two hundred twelve thousand, six hundred forty-one".

Divisors: 1 11 709 2917 6427 7799 32087 70697 2068153 4556743 18747559 22749683 50124173 206223149 13292019331 146212212641