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14002232102400 = 29352364641461
BaseRepresentation
bin1100101111000010011000…
…0100100000111000000000
31211120121012122000111121210
43023300212010200320000
53313403032404234100
645440311524450120
72643425236042533
oct313604604407000
954517178014553
1014002232102400
114509349a91213
1216a1887249940
137a75355154b9
143659d6aa4a1a
1519436bd5bc50
hexcbc26120e00

14002232102400 has 120 divisors (see below), whose sum is σ = 46255498737624. Its totient is φ = 3733928550400.

The previous prime is 14002232102381. The next prime is 14002232102423. The reversal of 14002232102400 is 420123220041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×140022321024002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182282331 + ... + 182359130.

Almost surely, 214002232102400 is an apocalyptic number.

14002232102400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002232102400 is an abundant number, since it is smaller than the sum of its proper divisors (32253266635224).

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

14002232102400 is an equidigital number, since it uses as much as digits as its factorization.

14002232102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364641492 (or 364641471 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 14002232102400 its reverse (420123220041), we get a palindrome (14422355322441).

The spelling of 14002232102400 in words is "fourteen trillion, two billion, two hundred thirty-two million, one hundred two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1200 1280 1536 1600 1920 2400 2560 3200 3840 4800 6400 7680 9600 12800 19200 38400 364641461 729282922 1093924383 1458565844 1823207305 2187848766 2917131688 3646414610 4375697532 5469621915 5834263376 7292829220 8751395064 9116036525 10939243830 11668526752 14585658440 17502790128 18232073050 21878487660 23337053504 27348109575 29171316880 35005580256 36464146100 43756975320 46674107008 54696219150 58342633760 70011160512 72928292200 87513950640 93348214016 109392438300 116685267520 140022321024 145856584400 175027901280 186696428032 218784876600 233370535040 280044642048 291713168800 350055802560 437569753200 466741070080 560089284096 583426337600 700111605120 875139506400 933482140160 1166852675200 1400223210240 1750279012800 2333705350400 2800446420480 3500558025600 4667410700800 7001116051200 14002232102400