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1013440512 = 2133743137
BaseRepresentation
bin111100011001111…
…110000000000000
32121121222010000210
4330121332000000
54033420044022
6244321314120
734054050030
oct7431760000
92547863023
101013440512
11480073947
12243495940
13131c64a56
14988498c0
155de88a0c
hex3c67e000

1013440512 has 224 divisors, whose sum is σ = 3183282432. Its totient is φ = 280756224.

The previous prime is 1013440511. The next prime is 1013440621. The reversal of 1013440512 is 2150443101.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013440511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7397308 + ... + 7397444.

Almost surely, 21013440512 is an apocalyptic number.

1013440512 is a gapful number since it is divisible by the number (12) 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 1013440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591641216).

1013440512 is an abundant number, since it is smaller than the sum of its proper divisors (2169841920).

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

1013440512 is an equidigital number, since it uses as much as digits as its factorization.

1013440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1013440512 is about 31834.5804432853. The cubic root of 1013440512 is about 1004.4602472837.

Adding to 1013440512 its reverse (2150443101), we get a palindrome (3163883613).

The spelling of 1013440512 in words is "one billion, thirteen million, four hundred forty thousand, five hundred twelve".