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12143030400 = 273252421633
BaseRepresentation
bin10110100111100011…
…11111000010000000
31011100021020212011200
423103301333002000
5144332103433100
65324535141200
7606626024664
oct132361770200
934307225150
1012143030400
115171473516
12242a814800
1311b69932b7
14832a108a4
154b10c4e00
hex2d3c7f080

12143030400 has 144 divisors (see below), whose sum is σ = 43329218010. Its totient is φ = 3238133760.

The previous prime is 12143030329. The next prime is 12143030401. The reversal of 12143030400 is 403034121.

It can be written as a sum of positive squares in 3 ways, for example, as 9527321664 + 2615708736 = 97608^2 + 51144^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (12143030401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 182017 + ... + 239616.

Almost surely, 212143030400 is an apocalyptic number.

12143030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12143030400 is an abundant number, since it is smaller than the sum of its proper divisors (31186187610).

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

12143030400 is a wasteful number, since it uses less digits than its factorization.

12143030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421663 (or 421643 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12143030400 its reverse (403034121), we get a palindrome (12546064521).

The spelling of 12143030400 in words is "twelve billion, one hundred forty-three million, thirty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1440 1600 1800 1920 2400 2880 3200 3600 4800 5760 7200 9600 14400 28800 421633 843266 1264899 1686532 2108165 2529798 3373064 3794697 4216330 5059596 6324495 6746128 7589394 8432660 10119192 10540825 12648990 13492256 15178788 16865320 18973485 20238384 21081650 25297980 26984512 30357576 31622475 33730640 37946970 40476768 42163300 50595960 53969024 60715152 63244950 67461280 75893940 80953536 84326600 94867425 101191920 121430304 126489900 134922560 151787880 161907072 168653200 189734850 202383840 242860608 252979800 269845120 303575760 337306400 379469700 404767680 485721216 505959600 607151520 674612800 758939400 809535360 1011919200 1214303040 1349225600 1517878800 2023838400 2428606080 3035757600 4047676800 6071515200 12143030400