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105450152243044 = 22735317596065249
BaseRepresentation
bin10111111110100000000110…
…110111011010111101100100
3111211100221021102021221111211
4113332200012313122331210
5102310143402433234134
61012135044200041204
731132344034632430
oct2776400667327544
9454327242257454
10105450152243044
1130666181952584
12b9b0b42763204
1346abba2cc10ab
141c07b5939b9c0
15c2d001803764
hex5fe806ddaf64

105450152243044 has 48 divisors (see below), whose sum is σ = 211618028160000. Its totient is φ = 45039270076416.

The previous prime is 105450152243041. The next prime is 105450152243063. The reversal of 105450152243044 is 440342251054501.

It is a super-2 number, since 2×1054501522430442 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105450152242988 and 105450152243006.

It is not an unprimeable number, because it can be changed into a prime (105450152243041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14353332 + ... + 20418580.

It is an arithmetic number, because the mean of its divisors is an integer number (4408708920000).

Almost surely, 2105450152243044 is an apocalyptic number.

105450152243044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105450152243044 is an abundant number, since it is smaller than the sum of its proper divisors (106167875916956).

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

105450152243044 is a wasteful number, since it uses less digits than its factorization.

105450152243044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6067372 (or 6067370 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 105450152243044 in words is "one hundred five trillion, four hundred fifty billion, one hundred fifty-two million, two hundred forty-three thousand, forty-four".

Divisors: 1 2 4 7 14 28 353 706 1412 1759 2471 3518 4942 7036 9884 12313 24626 49252 620927 1241854 2483708 4346489 6065249 8692978 12130498 17385956 24260996 42456743 84913486 169826972 2141032897 4282065794 8564131588 10668772991 14987230279 21337545982 29974460558 42675091964 59948921116 74681410937 149362821874 298725643748 3766076865823 7532153731646 15064307463292 26362538060761 52725076121522 105450152243044