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11343040000 = 295435447
BaseRepresentation
bin10101001000001100…
…10000111000000000
31002021111221010122121
422210012100320000
5141212304240000
65113320414024
7551043151315
oct124406207000
932244833577
1011343040000
1148a0939926
122246917314
1310ba0148b6
14798688d0c
15465c50b1a
hex2a4190e00

11343040000 has 100 divisors (see below), whose sum is σ = 28321640424. Its totient is φ = 4537088000.

The previous prime is 11343039997. The next prime is 11343040003. The reversal of 11343040000 is 4034311.

It is an interprime number because it is at equal distance from previous prime (11343039997) and next prime (11343040003).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11343040003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 302277 + ... + 337723.

Almost surely, 211343040000 is an apocalyptic number.

11343040000 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 11343040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160820212).

11343040000 is an abundant number, since it is smaller than the sum of its proper divisors (16978600424).

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

11343040000 is an frugal number, since it uses more digits than its factorization.

11343040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35485 (or 35454 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11343040000 its reverse (4034311), we get a palindrome (11347074311).

The spelling of 11343040000 in words is "eleven billion, three hundred forty-three million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 35447 40000 64000 70894 80000 141788 160000 177235 283576 320000 354470 567152 708940 886175 1134304 1417880 1772350 2268608 2835760 3544700 4430875 4537216 5671520 7089400 8861750 9074432 11343040 14178800 17723500 18148864 22154375 22686080 28357600 35447000 44308750 45372160 56715200 70894000 88617500 90744320 113430400 141788000 177235000 226860800 283576000 354470000 453721600 567152000 708940000 1134304000 1417880000 2268608000 2835760000 5671520000 11343040000