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105240120444 = 22322923336679
BaseRepresentation
bin110001000000011001…
…1001100110001111100
3101001122100212001010200
41202000303030301330
53211012432323234
6120202513003500
710413643156404
oct1420063146174
9331570761120
10105240120444
11406a5339158
1218490853590
139c02331c24
145144d89804
152b0e2c2d99
hex1880cccc7c

105240120444 has 18 divisors (see below), whose sum is σ = 266023637880. Its totient is φ = 35080040136.

The previous prime is 105240120439. The next prime is 105240120463. The reversal of 105240120444 is 444021042501.

105240120444 is a `hidden beast` number, since 1 + 0 + 52 + 401 + 204 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1052401204442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1461668304 + ... + 1461668375.

Almost surely, 2105240120444 is an apocalyptic number.

It is an amenable number.

105240120444 is an abundant number, since it is smaller than the sum of its proper divisors (160783517436).

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

105240120444 is a wasteful number, since it uses less digits than its factorization.

105240120444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923336689 (or 2923336684 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 105240120444 its reverse (444021042501), we get a palindrome (549261162945).

The spelling of 105240120444 in words is "one hundred five billion, two hundred forty million, one hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2923336679 5846673358 8770010037 11693346716 17540020074 26310030111 35080040148 52620060222 105240120444