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1041878230848 = 263571337101197
BaseRepresentation
bin11110010100101001100…
…10000010011101000000
310200121021021200222100000
433022110302002131000
5114032231311341343
62114344322200000
7135162466561350
oct17122462023500
93617237628300
101041878230848
11371949110634
12149b0aab3000
13773304cc1b0
14385da252b60
151c17d0aaed3
hexf294c82740

1041878230848 has 1344 divisors, whose sum is σ = 3973489648128. Its totient is φ = 263363788800.

The previous prime is 1041878230837. The next prime is 1041878230849. The reversal of 1041878230848 is 8480328781401.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1041878230794 and 1041878230803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041878230849) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5288721886 + ... + 5288722082.

It is an arithmetic number, because the mean of its divisors is an integer number (2956465512).

Almost surely, 21041878230848 is an apocalyptic number.

1041878230848 is a gapful number since it is divisible by the number (18) 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 1041878230848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986744824064).

1041878230848 is an abundant number, since it is smaller than the sum of its proper divisors (2931611417280).

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

1041878230848 is a wasteful number, since it uses less digits than its factorization.

1041878230848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 1041878230848 in words is "one trillion, forty-one billion, eight hundred seventy-eight million, two hundred thirty thousand, eight hundred forty-eight".