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100404121444344 = 23321499359071723
BaseRepresentation
bin10110110101000100100111…
…111111100001111111111000
3111011111112120212002222001100
4112311010213333201333320
5101130010120042204334
6553313003331451400
730101646504555054
oct2665044777417770
9434445525088040
10100404121444344
1129aa0170030723
12b316ba9156b60
1344040b65b7143
141ab182a4dcc64
15b91b1ce2bc99
hex5b5127fe1ff8

100404121444344 has 48 divisors (see below), whose sum is σ = 273752847927000. Its totient is φ = 33243422756544.

The previous prime is 100404121444343. The next prime is 100404121444357. The reversal of 100404121444344 is 443444121404001.

100404121444344 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 4 + 1 + 214 + 4 + 434 + 4 = 666.

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 = 100404121444299 and 100404121444308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100404121444343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4679525134 + ... + 4679546589.

Almost surely, 2100404121444344 is an apocalyptic number.

It is an amenable number.

100404121444344 is an abundant number, since it is smaller than the sum of its proper divisors (173348726482656).

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

100404121444344 is a wasteful number, since it uses less digits than its factorization.

100404121444344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9359071884 (or 9359071877 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 100404121444344 its reverse (443444121404001), we get a palindrome (543848242848345).

The spelling of 100404121444344 in words is "one hundred trillion, four hundred four billion, one hundred twenty-one million, four hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 10728 9359071723 18718143446 28077215169 37436286892 56154430338 74872573784 84231645507 112308860676 168463291014 224617721352 336926582028 673853164056 1394501686727 2789003373454 4183505060181 5578006746908 8367010120362 11156013493816 12550515180543 16734020240724 25101030361086 33468040481448 50202060722172 100404121444344