Search a number
-
+
1042988478840 = 23335721129311993
BaseRepresentation
bin11110010110101101111…
…01010011000101111000
310200201010122211102021000
433023112331103011320
5114042020022310330
62115050422445000
7135232140536100
oct17132675230570
93621118742230
101042988478840
11372368895360
1214a17a893760
137747952a579
14386a389c200
151c1e57b8560
hexf2d6f53178

1042988478840 has 1536 divisors, whose sum is σ = 4713624576000. Its totient is φ = 202399948800.

The previous prime is 1042988478823. The next prime is 1042988478877. The reversal of 1042988478840 is 488748892401.

1042988478840 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 9 + 88 + 478 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 523324884 + ... + 523326876.

It is an arithmetic number, because the mean of its divisors is an integer number (3068766000).

Almost surely, 21042988478840 is an apocalyptic number.

1042988478840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042988478840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356812288000).

1042988478840 is an abundant number, since it is smaller than the sum of its proper divisors (3670636097160).

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

1042988478840 is a wasteful number, since it uses less digits than its factorization.

1042988478840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 1042988478840 in words is "one trillion, forty-two billion, nine hundred eighty-eight million, four hundred seventy-eight thousand, eight hundred forty".