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1813033530144 = 253219331329227
BaseRepresentation
bin11010011000100001001…
…110000011001100100000
320102022202102110002122100
4122120201032003030200
5214201043040431034
63504521320410400
7244662442506144
oct32304116031440
96368672402570
101813033530144
116399a3186801
12253465316a00
13101c78556915
1463a73785224
1532263dd0099
hex1a621383320

1813033530144 has 72 divisors (see below), whose sum is σ = 5427172754640. Its totient is φ = 572536902528.

The previous prime is 1813033530127. The next prime is 1813033530223. The reversal of 1813033530144 is 4410353303181.

1813033530144 is a `hidden beast` number, since 1 + 8 + 1 + 303 + 3 + 5 + 301 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1813033530099 and 1813033530108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165659142 + ... + 165670085.

It is an arithmetic number, because the mean of its divisors is an integer number (75377399370).

Almost surely, 21813033530144 is an apocalyptic number.

It is an amenable number.

1813033530144 is an abundant number, since it is smaller than the sum of its proper divisors (3614139224496).

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

1813033530144 is a wasteful number, since it uses less digits than its factorization.

1813033530144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331329262 (or 331329251 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1813033530144 in words is "one trillion, eight hundred thirteen billion, thirty-three million, five hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 331329227 662658454 993987681 1325316908 1987975362 2650633816 2981963043 3975950724 5301267632 5963926086 6295255313 7951901448 10602535264 11927852172 12590510626 15903802896 18885765939 23855704344 25181021252 31807605792 37771531878 47711408688 50362042504 56657297817 75543063756 95422817376 100724085008 113314595634 151086127512 201448170016 226629191268 302172255024 453258382536 604344510048 906516765072 1813033530144