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144034121200440 = 23355749208781413
BaseRepresentation
bin100000101111111110001110…
…101000010011001100111000
3200212222112020112222211002210
4200233332032220103030320
5122334323340011403230
61230200210052455120
742224056536515532
oct4057761650231470
9625875215884083
10144034121200440
1141991589501819
12141a293b91a4a0
13624a48964a063
14277d408138852
15119b9d0cd6eb0
hex82ff8ea13338

144034121200440 has 64 divisors (see below), whose sum is σ = 432177526980000. Its totient is φ = 38402417797632.

The previous prime is 144034121200421. The next prime is 144034121200441. The reversal of 144034121200440 is 44002121430441.

It is a happy number.

144034121200440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144034121200398 and 144034121200407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144034121200441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103700827 + ... + 105080586.

Almost surely, 2144034121200440 is an apocalyptic number.

144034121200440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144034121200440 is an abundant number, since it is smaller than the sum of its proper divisors (288143405779560).

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

144034121200440 is a wasteful number, since it uses less digits than its factorization.

144034121200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208787176 (or 208787172 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144034121200440 its reverse (44002121430441), we get a palindrome (188036242630881).

The spelling of 144034121200440 in words is "one hundred forty-four trillion, thirty-four billion, one hundred twenty-one million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5749 11498 17247 22996 28745 34494 45992 57490 68988 86235 114980 137976 172470 229960 344940 689880 208781413 417562826 626344239 835125652 1043907065 1252688478 1670251304 2087814130 2505376956 3131721195 4175628260 5010753912 6263442390 8351256520 12526884780 25053769560 1200284343337 2400568686674 3600853030011 4801137373348 6001421716685 7201706060022 9602274746696 12002843433370 14403412120044 18004265150055 24005686866740 28806824240088 36008530300110 48011373733480 72017060600220 144034121200440