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121440444403104 = 2533478072940073
BaseRepresentation
bin11011100111001100001110…
…100011001100110110100000
3120220222121000101001101101000
4123213030032203030312200
5111404140012231344404
61110140545303312000
734402532264453661
oct3347141643146640
9526877011041330
10121440444403104
113577066aa13132
1211753b7b14b600
13529ba281a33c8
1421dba6ac89368
15e08e282d2339
hex6e730e8ccda0

121440444403104 has 96 divisors (see below), whose sum is σ = 354208825635840. Its totient is φ = 40479287625216.

The previous prime is 121440444403063. The next prime is 121440444403129. The reversal of 121440444403104 is 401304444044121.

121440444403104 is a `hidden beast` number, since 1 + 2 + 144 + 0 + 4 + 4 + 4 + 403 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 39835212 + ... + 42775284.

It is an arithmetic number, because the mean of its divisors is an integer number (3689675267040).

Almost surely, 2121440444403104 is an apocalyptic number.

It is an amenable number.

121440444403104 is an abundant number, since it is smaller than the sum of its proper divisors (232768381232736).

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

121440444403104 is a wasteful number, since it uses less digits than its factorization.

121440444403104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987899 (or 2987885 counting only the distinct ones).

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

Adding to 121440444403104 its reverse (401304444044121), we get a palindrome (522744888447225).

The spelling of 121440444403104 in words is "one hundred twenty-one trillion, four hundred forty billion, four hundred forty-four million, four hundred three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 47807 95614 143421 191228 286842 382456 430263 573684 764912 860526 1147368 1290789 1529824 1721052 2294736 2581578 2940073 3442104 4589472 5163156 5880146 6884208 8820219 10326312 11760292 13768416 17640438 20652624 23520584 26460657 35280876 41305248 47041168 52921314 70561752 79381971 94082336 105842628 141123504 158763942 211685256 282247008 317527884 423370512 635055768 846741024 1270111536 2540223072 140556069911 281112139822 421668209733 562224279644 843336419466 1124448559288 1265004629199 1686672838932 2248897118576 2530009258398 3373345677864 3795013887597 4497794237152 5060018516796 6746691355728 7590027775194 10120037033592 13493382711456 15180055550388 20240074067184 30360111100776 40480148134368 60720222201552 121440444403104