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1030488111744 = 27371341432389
BaseRepresentation
bin11101111111011011110…
…00001011101010000000
310122111212111011222021220
432333231320023222000
5113340414424033434
62105222200315040
7134310312266130
oct16775570135200
93574774158256
101030488111744
11368033746563
12147870472a80
1376236812850
1437c39630ac0
151bc1315ad49
hexefede0ba80

1030488111744 has 768 divisors, whose sum is σ = 3542278521600. Its totient is φ = 258316369920.

The previous prime is 1030488111743. The next prime is 1030488111791. The reversal of 1030488111744 is 4471118840301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1030488111696 and 1030488111705.

It is not an unprimeable number, because it can be changed into a prime (1030488111743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2649069502 + ... + 2649069890.

It is an arithmetic number, because the mean of its divisors is an integer number (4612341825).

Almost surely, 21030488111744 is an apocalyptic number.

1030488111744 is a gapful number since it is divisible by the number (14) 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 1030488111744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771139260800).

1030488111744 is an abundant number, since it is smaller than the sum of its proper divisors (2511790409856).

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

1030488111744 is a wasteful number, since it uses less digits than its factorization.

1030488111744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 1030488111744 in words is "one trillion, thirty billion, four hundred eighty-eight million, one hundred eleven thousand, seven hundred forty-four".