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11544214000 = 2453113116927
BaseRepresentation
bin10101100000001011…
…01011100111110000
31002210112110211111111
422300011223213300
5142120304322000
65145304323104
7556035125404
oct126005534760
932715424444
1011544214000
114994453930
1222a2173494
13111c8c0377
147b7295104
1547873ccba
hex2b016b9f0

11544214000 has 160 divisors (see below), whose sum is σ = 31435702272. Its totient is φ = 4062240000.

The previous prime is 11544213991. The next prime is 11544214007. The reversal of 11544214000 is 41244511.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11544214007) 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, 673537 + ... + 690463.

Almost surely, 211544214000 is an apocalyptic number.

11544214000 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 11544214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15717851136).

11544214000 is an abundant number, since it is smaller than the sum of its proper divisors (19891488272).

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

11544214000 is a wasteful number, since it uses less digits than its factorization.

11544214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16992 (or 16976 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 11544214000 its reverse (41244511), we get a palindrome (11585458511).

The spelling of 11544214000 in words is "eleven billion, five hundred forty-four million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 125 155 176 200 220 248 250 275 310 341 400 440 496 500 550 620 682 775 880 1000 1100 1240 1364 1375 1550 1705 2000 2200 2480 2728 2750 3100 3410 3875 4400 5456 5500 6200 6820 7750 8525 11000 12400 13640 15500 16927 17050 22000 27280 31000 33854 34100 42625 62000 67708 68200 84635 85250 135416 136400 169270 170500 186197 270832 338540 341000 372394 423175 524737 677080 682000 744788 846350 930985 1049474 1354160 1489576 1692700 1861970 2098948 2115875 2623685 2979152 3385400 3723940 4197896 4231750 4654925 5247370 5772107 6770800 7447880 8395792 8463500 9309850 10494740 11544214 13118425 14895760 16927000 18619700 20989480 23088428 23274625 26236850 28860535 33854000 37239400 41978960 46176856 46549250 52473700 57721070 65592125 74478800 92353712 93098500 104947400 115442140 131184250 144302675 186197000 209894800 230884280 262368500 288605350 372394000 461768560 524737000 577210700 721513375 1049474000 1154421400 1443026750 2308842800 2886053500 5772107000 11544214000