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1141102040 = 2351310121727
BaseRepresentation
bin100010000000011…
…1101010111011000
32221112011222201112
41010000331113120
54314110231130
6305121435452
740164131051
oct10400752730
92845158645
101141102040
11536138941
1227a19bb88
13152542010
14ab79b728
156a2a4495
hex4403d5d8

1141102040 has 64 divisors (see below), whose sum is σ = 2792482560. Its totient is φ = 417139200.

The previous prime is 1141102007. The next prime is 1141102069. The reversal of 1141102040 is 402011411.

It is a super-2 number, since 2×11411020402 = 2604227731384323200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41657 + ... + 63383.

It is an arithmetic number, because the mean of its divisors is an integer number (43632540).

Almost surely, 21141102040 is an apocalyptic number.

1141102040 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 1141102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396241280).

1141102040 is an abundant number, since it is smaller than the sum of its proper divisors (1651380520).

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

1141102040 is a wasteful number, since it uses less digits than its factorization.

1141102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21852 (or 21848 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1141102040 is about 33780.2018940089. The cubic root of 1141102040 is about 1044.9804381158.

Adding to 1141102040 its reverse (402011411), we get a palindrome (1543113451).

The spelling of 1141102040 in words is "one billion, one hundred forty-one million, one hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 2020 2626 4040 5252 6565 10504 13130 21727 26260 43454 52520 86908 108635 173816 217270 282451 434540 564902 869080 1129804 1412255 2194427 2259608 2824510 4388854 5649020 8777708 10972135 11298040 17555416 21944270 28527551 43888540 57055102 87777080 114110204 142637755 228220408 285275510 570551020 1141102040