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445124141421544 = 231337911292981059
BaseRepresentation
bin110010100110101101000101…
…0010101001001001111101000
32011101001110012202021212201001
41211031122022111021033220
5431320403220200442134
64214411112501204344
7162521105115311104
oct14515321225111750
92141043182255631
10445124141421544
111199150a7519682
1241b1005a4006b4
131614b04609c910
147bcc1a285a904
15366da78dd0414
hex194d68a5493e8

445124141421544 has 32 divisors (see below), whose sum is σ = 901179888588000. Its totient is φ = 204899848316352.

The previous prime is 445124141421523. The next prime is 445124141421577.

445124141421544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445124141421494 and 445124141421503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5646451114 + ... + 5646529945.

It is an arithmetic number, because the mean of its divisors is an integer number (28161871518375).

Almost surely, 2445124141421544 is an apocalyptic number.

It is an amenable number.

445124141421544 is an abundant number, since it is smaller than the sum of its proper divisors (456055747166456).

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

445124141421544 is a wasteful number, since it uses less digits than its factorization.

445124141421544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11292981457 (or 11292981453 counting only the distinct ones).

The product of its digits is 1638400, while the sum is 46.

The spelling of 445124141421544 in words is "four hundred forty-five trillion, one hundred twenty-four billion, one hundred forty-one million, four hundred twenty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 379 758 1516 3032 4927 9854 19708 39416 11292981059 22585962118 45171924236 90343848472 146808753767 293617507534 587235015068 1174470030136 4280039821361 8560079642722 17120159285444 34240318570888 55640517677693 111281035355386 222562070710772 445124141421544