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4412024202144 = 253133535275803
BaseRepresentation
bin100000000110100000100…
…1000101010001110100000
3120121210012112220211101010
41000031001020222032200
51034241311143432034
613214504514340520
7633521033641056
oct100150110521640
916553175824333
104412024202144
111451146706009
125b30b5b8a740
1326008a5c3590
141137864201d6
1579b783053e9
hex4034122a3a0

4412024202144 has 48 divisors (see below), whose sum is σ = 12472453036512. Its totient is φ = 1357545907968.

The previous prime is 4412024202127. The next prime is 4412024202151.

4412024202144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1767636654 + ... + 1767639149.

It is an arithmetic number, because the mean of its divisors is an integer number (259842771594).

Almost surely, 24412024202144 is an apocalyptic number.

It is an amenable number.

4412024202144 is an abundant number, since it is smaller than the sum of its proper divisors (8060428834368).

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

4412024202144 is a wasteful number, since it uses less digits than its factorization.

4412024202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535275829 (or 3535275821 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 4412024202144 in words is "four trillion, four hundred twelve billion, twenty-four million, two hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3535275803 7070551606 10605827409 14141103212 21211654818 28282206424 42423309636 45958585439 56564412848 84846619272 91917170878 113128825696 137875756317 169693238544 183834341756 275751512634 339386477088 367668683512 551503025268 735337367024 1103006050536 1470674734048 2206012101072 4412024202144