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11404430200 = 23521091493511
BaseRepresentation
bin10101001111100000…
…11100101101111000
31002102210110002011201
422213300130231320
5141324013231300
65123352303544
7552420025432
oct124760345570
932383402151
1011404430200
11492255a229
1222633a1bb4
1310c995a567
147a28a9652
1546b32a66a
hex2a7c1cb78

11404430200 has 96 divisors (see below), whose sum is σ = 26945820000. Its totient is φ = 4488307200.

The previous prime is 11404430129. The next prime is 11404430209. The reversal of 11404430200 is 203440411.

It is a super-2 number, since 2×114044302002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11404430209) 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, 3246445 + ... + 3249955.

It is an arithmetic number, because the mean of its divisors is an integer number (280685625).

Almost surely, 211404430200 is an apocalyptic number.

11404430200 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 11404430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13472910000).

11404430200 is an abundant number, since it is smaller than the sum of its proper divisors (15541389800).

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

11404430200 is a wasteful number, since it uses less digits than its factorization.

11404430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 11404430200 its reverse (203440411), we get a palindrome (11607870611).

The spelling of 11404430200 in words is "eleven billion, four hundred four million, four hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 149 200 218 298 436 545 596 745 872 1090 1192 1490 2180 2725 2980 3511 3725 4360 5450 5960 7022 7450 10900 14044 14900 16241 17555 21800 28088 29800 32482 35110 64964 70220 81205 87775 129928 140440 162410 175550 324820 351100 382699 406025 523139 649640 702200 765398 812050 1046278 1530796 1624100 1913495 2092556 2615695 3061592 3248200 3826990 4185112 5231390 7653980 9567475 10462780 13078475 15307960 19134950 20925560 26156950 38269900 52313900 57022151 76539800 104627800 114044302 228088604 285110755 456177208 570221510 1140443020 1425553775 2280886040 2851107550 5702215100 11404430200