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144215400 = 23352734337
BaseRepresentation
bin10001001100010…
…00110101101000
3101001100220100010
420212020311220
5243404343100
622151011520
73400545030
oct1046106550
9331326303
10144215400
117445118a
1240369ba0
1323b54c74
14152208c0
15c9da750
hex8988d68

144215400 has 96 divisors (see below), whose sum is σ = 510949440. Its totient is φ = 32962560.

The previous prime is 144215387. The next prime is 144215417. The reversal of 144215400 is 4512441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12969 + ... + 21368.

It is an arithmetic number, because the mean of its divisors is an integer number (5322390).

Almost surely, 2144215400 is an apocalyptic number.

144215400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144215400 is an abundant number, since it is smaller than the sum of its proper divisors (366734040).

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

144215400 is a wasteful number, since it uses less digits than its factorization.

144215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34363 (or 34354 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 144215400 is about 12008.9716462318. The cubic root of 144215400 is about 524.4094947956.

Adding to 144215400 its reverse (4512441), we get a palindrome (148727841).

The spelling of 144215400 in words is "one hundred forty-four million, two hundred fifteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 34337 68674 103011 137348 171685 206022 240359 274696 343370 412044 480718 515055 686740 721077 824088 858425 961436 1030110 1201795 1373480 1442154 1716850 1922872 2060220 2403590 2575275 2884308 3433700 3605385 4120440 4807180 5150550 5768616 6008975 6867400 7210770 9614360 10301100 12017950 14421540 18026925 20602200 24035900 28843080 36053850 48071800 72107700 144215400