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4141441312332 = 2235927799210421
BaseRepresentation
bin111100010001000001001…
…000110110011001001100
3112122220210011110211111120
4330101001020312121030
51020323132433443312
612450315112120540
7605131530220152
oct74210110663114
915586704424446
104141441312332
111357414721025
1256a780396150
132406c817215c
141046381553d2
1572add4d228c
hex3c44123664c

4141441312332 has 48 divisors (see below), whose sum is σ = 9827549088000. Its totient is φ = 1357027197120.

The previous prime is 4141441312303. The next prime is 4141441312357. The reversal of 4141441312332 is 2332131441414.

It is a happy number.

It is a super-2 number, since 2×41414413123322 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4141441312293 and 4141441312302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19576482 + ... + 19786902.

It is an arithmetic number, because the mean of its divisors is an integer number (204740606000).

Almost surely, 24141441312332 is an apocalyptic number.

It is an amenable number.

4141441312332 is an abundant number, since it is smaller than the sum of its proper divisors (5686107775668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4141441312332 is a wasteful number, since it uses less digits than its factorization.

4141441312332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238286 (or 238284 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 4141441312332 its reverse (2332131441414), we get a palindrome (6473572753746).

The spelling of 4141441312332 in words is "four trillion, one hundred forty-one billion, four hundred forty-one million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 59 118 177 236 354 708 27799 55598 83397 111196 166794 210421 333588 420842 631263 841684 1262526 1640141 2525052 3280282 4920423 6560564 9840846 12414839 19681692 24829678 37244517 49659356 74489034 148978068 5849493379 11698986758 17548480137 23397973516 35096960274 70193920548 345120109361 690240218722 1035360328083 1380480437444 2070720656166 4141441312332