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1100441144 = 2311176731093
BaseRepresentation
bin100000110010111…
…0110011000111000
32211200200012110102
41001211312120320
54223203104034
6301110134532
736161411135
oct10145663070
92750605412
101100441144
115151967a0
12268651448
13146ca670a
14a621558c
156692197e
hex41976638

1100441144 has 64 divisors (see below), whose sum is σ = 2389033440. Its totient is φ = 469647360.

The previous prime is 1100441143. The next prime is 1100441191. The reversal of 1100441144 is 4411440011.

It is a happy number.

It is a super-2 number, since 2×11004411442 = 2421941422816057472, which contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100441143) 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, 1006262 + ... + 1007354.

Almost surely, 21100441144 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 1100441144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194516720).

1100441144 is an abundant number, since it is smaller than the sum of its proper divisors (1288592296).

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

1100441144 is a wasteful number, since it uses less digits than its factorization.

1100441144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1100441144 is about 33172.8977329386. The cubic root of 1100441144 is about 1032.4180922191.

Adding to 1100441144 its reverse (4411440011), we get a palindrome (5511881155).

It can be divided in two parts, 1100 and 441144, that added together give a palindrome (442244).

The spelling of 1100441144 in words is "one billion, one hundred million, four hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 673 748 1093 1346 1496 2186 2692 4372 5384 7403 8744 11441 12023 14806 18581 22882 24046 29612 37162 45764 48092 59224 74324 91528 96184 125851 148648 204391 251702 408782 503404 735589 817564 1006808 1471178 1635128 2942356 5884712 8091479 12505013 16182958 25010026 32365916 50020052 64731832 100040104 137555143 275110286 550220572 1100441144