Search a number
-
+
11404515500 = 2253723141671
BaseRepresentation
bin10101001111100001…
…10001100010101100
31002102210121102011222
422213300301202230
5141324023444000
65123354202512
7552420532220
oct124760614254
932383542158
1011404515500
114922608324
122263423438
1310c998a331
147a28cc780
1546b345a85
hex2a7c318ac

11404515500 has 96 divisors (see below), whose sum is σ = 29703518208. Its totient is φ = 3740088000.

The previous prime is 11404515497. The next prime is 11404515503. The reversal of 11404515500 is 551540411.

It is an interprime number because it is at equal distance from previous prime (11404515497) and next prime (11404515503).

It is a self number, because there is not a number n which added to its sum of digits gives 11404515500.

It is not an unprimeable number, because it can be changed into a prime (11404515503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9665 + ... + 151335.

It is an arithmetic number, because the mean of its divisors is an integer number (309411648).

Almost surely, 211404515500 is an apocalyptic number.

11404515500 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 11404515500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851759104).

11404515500 is an abundant number, since it is smaller than the sum of its proper divisors (18299002708).

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

11404515500 is a wasteful number, since it uses less digits than its factorization.

11404515500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141720 (or 141708 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 26.

The spelling of 11404515500 in words is "eleven billion, four hundred four million, five hundred fifteen thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 125 140 161 175 230 250 322 350 460 500 575 644 700 805 875 1150 1610 1750 2300 2875 3220 3500 4025 5750 8050 11500 16100 20125 40250 80500 141671 283342 566684 708355 991697 1416710 1983394 2833420 3258433 3541775 3966788 4958485 6516866 7083550 9916970 13033732 14167100 16292165 17708875 19833940 22809031 24792425 32584330 35417750 45618062 49584850 65168660 70835500 81460825 91236124 99169700 114045155 123962125 162921650 228090310 247924250 325843300 407304125 456180620 495848500 570225775 814608250 1140451550 1629216500 2280903100 2851128875 5702257750 11404515500