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1026440144 = 24172474723
BaseRepresentation
bin111101001011100…
…011101111010000
32122112102120011122
4331023203233100
54100232041034
6245504101412
734302411602
oct7513435720
92575376148
101026440144
11487442744
12247904868
13134866a42
149a471172
15601a562e
hex3d2e3bd0

1026440144 has 60 divisors (see below), whose sum is σ = 2157998784. Its totient is φ = 472653312.

The previous prime is 1026440141. The next prime is 1026440171. The reversal of 1026440144 is 4410446201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026440141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214967 + ... + 219689.

Almost surely, 21026440144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078999392).

1026440144 is an abundant number, since it is smaller than the sum of its proper divisors (1131558640).

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

1026440144 is a wasteful number, since it uses less digits than its factorization.

1026440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 1026440144 is about 32038.1045631604. The cubic root of 1026440144 is about 1008.7368268890.

Adding to 1026440144 its reverse (4410446201), we get a palindrome (5436886345).

The spelling of 1026440144 in words is "one billion, twenty-six million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 47 68 94 136 188 272 289 376 578 752 799 1156 1598 2312 3196 4624 4723 6392 9446 12784 13583 18892 27166 37784 54332 75568 80291 108664 160582 217328 221981 321164 443962 642328 887924 1284656 1364947 1775848 2729894 3551696 3773677 5459788 7547354 10919576 15094708 21839152 30189416 60378832 64152509 128305018 256610036 513220072 1026440144