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146344443641 = 11195926944119
BaseRepresentation
bin1000100001001011001…
…1101111111011111001
3111222201222220000021022
42020102303233323321
54344203134144031
6151121341152225
713400360150354
oct2102263577371
9458658800238
10146344443641
11570786945a0
122444255b675
1310a53119b66
14712409d29b
153c17be697b
hex2212cefef9

146344443641 has 32 divisors (see below), whose sum is σ = 171538560000. Its totient is φ = 123438634560.

The previous prime is 146344443589. The next prime is 146344443647.

It is a happy number.

146344443641 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 146344443641 - 210 = 146344442617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146344443592 and 146344443601.

It is not an unprimeable number, because it can be changed into a prime (146344443647) 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, 3294980 + ... + 3339098.

It is an arithmetic number, because the mean of its divisors is an integer number (5360580000).

Almost surely, 2146344443641 is an apocalyptic number.

146344443641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146344443641 is a deficient number, since it is larger than the sum of its proper divisors (25194116359).

146344443641 is a wasteful number, since it uses less digits than its factorization.

146344443641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44477.

The product of its digits is 1327104, while the sum is 44.

It can be divided in two parts, 146344 and 443641, that added together give a palindrome (589985).

The spelling of 146344443641 in words is "one hundred forty-six billion, three hundred forty-four million, four hundred forty-three thousand, six hundred forty-one".

Divisors: 1 11 19 59 209 269 649 1121 2959 5111 12331 15871 44119 56221 174581 301549 485309 838261 2603021 3317039 9220871 11868011 28633231 49457399 130548121 225492209 544031389 700212649 2480414299 7702339139 13304040331 146344443641