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100441463112540 = 22325111731997146833
BaseRepresentation
bin10110110101100111011001…
…101110101100001101011100
3111011122002222021001020212100
4112311213121232230031130
5101131113104024100130
6553342100545205100
730104441042526264
oct2665473156541534
9434562867036770
10100441463112540
112a004a92472730
12b32228a930790
1344077879b1bb4
141ab356da027a4
15b92aa635ec60
hex5b59d9bac35c

100441463112540 has 288 divisors, whose sum is σ = 334460820447936. Its totient is φ = 24196410040320.

The previous prime is 100441463112451. The next prime is 100441463112569. The reversal of 100441463112540 is 45211364144001.

100441463112540 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 1 + 4 + 631 + 12 + 5 + 4 + 0 = 666.

100441463112540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100441463112495 and 100441463112504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683978964 + ... + 684125796.

It is an arithmetic number, because the mean of its divisors is an integer number (1161322293222).

Almost surely, 2100441463112540 is an apocalyptic number.

100441463112540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100441463112540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167230410223968).

100441463112540 is an abundant number, since it is smaller than the sum of its proper divisors (234019357335396).

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

100441463112540 is a wasteful number, since it uses less digits than its factorization.

100441463112540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149029 (or 149024 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 100441463112540 in words is "one hundred trillion, four hundred forty-one billion, four hundred sixty-three million, one hundred twelve thousand, five hundred forty".