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1044024100 = 225277320431
BaseRepresentation
bin111110001110101…
…000101100100100
32200202111220211021
4332032220230210
54114232232400
6251333020524
734605026020
oct7616505444
92622456737
101044024100
11496362839
12251784744
131383b2552
149c92b380
15619ca71a
hex3e3a8b24

1044024100 has 72 divisors (see below), whose sum is σ = 2624776448. Its totient is φ = 353030400.

The previous prime is 1044024097. The next prime is 1044024101. The reversal of 1044024100 is 14204401.

1044024100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1044024101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40885 + ... + 61315.

Almost surely, 21044024100 is an apocalyptic number.

1044024100 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 1044024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312388224).

1044024100 is an abundant number, since it is smaller than the sum of its proper divisors (1580752348).

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

1044024100 is a wasteful number, since it uses less digits than its factorization.

1044024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20525 (or 20518 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1044024100 is about 32311.3617787923. The cubic root of 1044024100 is about 1014.4644703412.

Adding to 1044024100 its reverse (14204401), we get a palindrome (1058228501).

It can be divided in two parts, 104 and 4024100, that added together give a palindrome (4024204).

The spelling of 1044024100 in words is "one billion, forty-four million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 73 100 140 146 175 292 350 365 511 700 730 1022 1460 1825 2044 2555 3650 5110 7300 10220 12775 20431 25550 40862 51100 81724 102155 143017 204310 286034 408620 510775 572068 715085 1021550 1430170 1491463 2043100 2860340 2982926 3575425 5965852 7150850 7457315 10440241 14301700 14914630 20880482 29829260 37286575 41760964 52201205 74573150 104402410 149146300 208804820 261006025 522012050 1044024100