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1010026060440 = 233553832836761
BaseRepresentation
bin11101011001010100011…
…11101001101010011000
310120120001110020001210220
432230222033221222120
5113022013132413230
62051555523440040
7132654246600645
oct16545217515230
93516043201726
101010026060440
1135a39341a561
121438bb826020
13743254aba97
1436c57c30dcc
151b416a70d10
hexeb2a3e9a98

1010026060440 has 256 divisors, whose sum is σ = 3135949447680. Its totient is φ = 260113551360.

The previous prime is 1010026060423. The next prime is 1010026060501. The reversal of 1010026060440 is 440606200101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1010026060440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149386660 + ... + 149393420.

It is an arithmetic number, because the mean of its divisors is an integer number (12249802530).

Almost surely, 21010026060440 is an apocalyptic number.

1010026060440 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 1010026060440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567974723840).

1010026060440 is an abundant number, since it is smaller than the sum of its proper divisors (2125923387240).

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

1010026060440 is a wasteful number, since it uses less digits than its factorization.

1010026060440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7194 (or 7190 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 1010026060440 in words is "one trillion, ten billion, twenty-six million, sixty thousand, four hundred forty".