Search a number
-
+
1120998147984 = 24321121326172
BaseRepresentation
bin10000010100000000101…
…100100100011110010000
310222011111021210012121100
4100110000230210132100
5121331301011213414
62214551320424400
7143663244016611
oct20240054443620
93864437705540
101120998147984
113a245a259400
12161310018100
138192c1c2100
143c384177c08
151e25e184609
hex10500b24790

1120998147984 has 405 divisors, whose sum is σ = 3740094322419. Its totient is φ = 313057704960.

The previous prime is 1120998147943. The next prime is 1120998148031. The reversal of 1120998147984 is 4897418990211.

The square root of 1120998147984 is 1058772.

It is a perfect power (a square), and thus also a powerful number.

1120998147984 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 9 + 9 + 81 + 479 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 798828387984 + 322169760000 = 893772^2 + 567600^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1816852444 + ... + 1816853060.

Almost surely, 21120998147984 is an apocalyptic number.

1120998147984 is the 1058772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120998147984

1120998147984 is an abundant number, since it is smaller than the sum of its proper divisors (2619096174435).

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

1120998147984 is a wasteful number, since it uses less digits than its factorization.

1120998147984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 1120998147984 in words is "one trillion, one hundred twenty billion, nine hundred ninety-eight million, one hundred forty-seven thousand, nine hundred eighty-four".