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11033411040 = 253257662091
BaseRepresentation
bin10100100011010010…
…00111110111100000
31001110221022100120100
422101221013313200
5140044023123130
65022500142400
7540263306061
oct122151076740
931427270510
1011033411040
114752089023
12217b097a00
13106ab250b2
147694ca568
1544898dc60
hex291a47de0

11033411040 has 72 divisors (see below), whose sum is σ = 37651520088. Its totient is φ = 2942242560.

The previous prime is 11033411027. The next prime is 11033411047. The reversal of 11033411040 is 4011433011.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033411047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3829606 + ... + 3832485.

It is an arithmetic number, because the mean of its divisors is an integer number (522937779).

Almost surely, 211033411040 is an apocalyptic number.

11033411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11033411040 is an abundant number, since it is smaller than the sum of its proper divisors (26618109048).

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

11033411040 is a wasteful number, since it uses less digits than its factorization.

11033411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7662112 (or 7662101 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11033411040 its reverse (4011433011), we get a palindrome (15044844051).

It can be divided in two parts, 1103 and 3411040, that added together give a palindrome (3412143).

The spelling of 11033411040 in words is "eleven billion, thirty-three million, four hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 7662091 15324182 22986273 30648364 38310455 45972546 61296728 68958819 76620910 91945092 114931365 122593456 137917638 153241820 183890184 229862730 245186912 275835276 306483640 344794095 367780368 459725460 551670552 612967280 689588190 735560736 919450920 1103341104 1225934560 1379176380 1838901840 2206682208 2758352760 3677803680 5516705520 11033411040