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1044120661520 = 245531556915817
BaseRepresentation
bin11110011000110100111…
…00001110111000010000
310200211001120020020220212
433030122130032320100
5114101324342132040
62115355025223252
7135302166121166
oct17143234167020
93624046206825
101044120661520
11372899990a22
1214a435a91b28
13775c9c68851
143876ddb7236
151c25eda9d65
hexf31a70ee10

1044120661520 has 80 divisors (see below), whose sum is σ = 2473699195440. Its totient is φ = 409715884032.

The previous prime is 1044120661471. The next prime is 1044120661537. The reversal of 1044120661520 is 251660214401.

It can be written as a sum of positive squares in 8 ways, for example, as 43104403456 + 1001016258064 = 207616^2 + 1000508^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66004652 + ... + 66020468.

It is an arithmetic number, because the mean of its divisors is an integer number (30921239943).

Almost surely, 21044120661520 is an apocalyptic number.

1044120661520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1044120661520 is an abundant number, since it is smaller than the sum of its proper divisors (1429578533920).

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

1044120661520 is a wasteful number, since it uses less digits than its factorization.

1044120661520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31452 (or 31446 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

Adding to 1044120661520 its reverse (251660214401), we get a palindrome (1295780875921).

The spelling of 1044120661520 in words is "one trillion, forty-four billion, one hundred twenty million, six hundred sixty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 15569 15817 31138 31634 62276 63268 77845 79085 124552 126536 155690 158170 249104 253072 311380 316340 622760 632680 825157 838301 1245520 1265360 1650314 1676602 3300628 3353204 4125785 4191505 6601256 6706408 8251570 8383010 13202512 13412816 16503140 16766020 33006280 33532040 66012560 67064080 246254873 492509746 985019492 1231274365 1970038984 2462548730 3940077968 4925097460 9850194920 13051508269 19700389840 26103016538 52206033076 65257541345 104412066152 130515082690 208824132304 261030165380 522060330760 1044120661520