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14142230400 = 273521473149
BaseRepresentation
bin11010010101111000…
…10100111110000000
31100111121002202000010
431022330110332000
5212430402333100
610255153024520
71010312655264
oct151274247600
940447082003
1014142230400
115aa7a14021
1228a8255140
131444c1a48c
1498233c0a4
1557b87a750
hex34af14f80

14142230400 has 96 divisors (see below), whose sum is σ = 46581003000. Its totient is φ = 3771258880.

The previous prime is 14142230387. The next prime is 14142230413. The reversal of 14142230400 is 403224141.

It is an interprime number because it is at equal distance from previous prime (14142230387) and next prime (14142230413).

It is a tau number, because it is divible by the number of its divisors (96).

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, 726975 + ... + 746174.

Almost surely, 214142230400 is an apocalyptic number.

14142230400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14142230400 is an abundant number, since it is smaller than the sum of its proper divisors (32438772600).

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

14142230400 is a wasteful number, since it uses less digits than its factorization.

14142230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473176 (or 1473159 counting only the distinct ones).

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

Adding to 14142230400 its reverse (403224141), we get a palindrome (14545454541).

The spelling of 14142230400 in words is "fourteen billion, one hundred forty-two million, two hundred thirty 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 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 1473149 2946298 4419447 5892596 7365745 8838894 11785192 14731490 17677788 22097235 23570384 29462980 35355576 36828725 44194470 47140768 58925960 70711152 73657450 88388940 94281536 110486175 117851920 141422304 147314900 176777880 188563072 220972350 235703840 282844608 294629800 353555760 441944700 471407680 565689216 589259600 707111520 883889400 942815360 1178519200 1414223040 1767778800 2357038400 2828446080 3535557600 4714076800 7071115200 14142230400