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146346643641 = 31137281426541
BaseRepresentation
bin1000100001001011110…
…0001001000010111001
3111222202011000210002210
42020102330021002321
54344204220044031
6151121500245333
713400414642352
oct2102274110271
9458664023083
10146346643641
1157079957480
1224443240849
1310a5370a333
1471244b2d29
153c17ecd746
hex2212f090b9

146346643641 has 32 divisors (see below), whose sum is σ = 219399555456. Its totient is φ = 85990464000.

The previous prime is 146346643637. The next prime is 146346643691.

146346643641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 146346643641 - 22 = 146346643637 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (146346643691) 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, 129831 + ... + 556371.

It is an arithmetic number, because the mean of its divisors is an integer number (6856236108).

Almost surely, 2146346643641 is an apocalyptic number.

146346643641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146346643641 is a deficient number, since it is larger than the sum of its proper divisors (73052911815).

146346643641 is a wasteful number, since it uses less digits than its factorization.

146346643641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426873.

The product of its digits is 2985984, while the sum is 48.

It can be divided in two parts, 146346 and 643641, that added together give a palindrome (789987).

The spelling of 146346643641 in words is "one hundred forty-six billion, three hundred forty-six million, six hundred forty-three thousand, six hundred forty-one".

Divisors: 1 3 11 33 37 111 281 407 843 1221 3091 9273 10397 31191 114367 343101 426541 1279623 4691951 14075853 15782017 47346051 119858021 173602187 359574063 520806561 1318438231 3955314693 4434746777 13304240331 48782214547 146346643641