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144034224000042 = 2337238385953299
BaseRepresentation
bin100000101111111110010100…
…110000011100110000101010
3200212222112111201102120122110
4200233332110300130300222
5122334324042321000132
61230200224204103150
742224062225351035
oct4057762460346052
9625875451376573
10144034224000042
1141991631535672
12141a296a234ab6
13624a4a4a30c1c
14277d417a5801c
15119b9d9d411cc
hex82ff94c1cc2a

144034224000042 has 96 divisors (see below), whose sum is σ = 297188656128000. Its totient is φ = 46536721463232.

The previous prime is 144034223999989. The next prime is 144034224000061. The reversal of 144034224000042 is 240000422430441.

It is a junction number, because it is equal to n+sod(n) for n = 144034223999973 and 144034224000009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2702354709 + ... + 2702408007.

It is an arithmetic number, because the mean of its divisors is an integer number (3095715168000).

Almost surely, 2144034224000042 is an apocalyptic number.

144034224000042 is an abundant number, since it is smaller than the sum of its proper divisors (153154432127958).

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

144034224000042 is a wasteful number, since it uses less digits than its factorization.

144034224000042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54620 (or 54583 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 144034224000042 its reverse (240000422430441), we get a palindrome (384034646430483).

The spelling of 144034224000042 in words is "one hundred forty-four trillion, thirty-four billion, two hundred twenty-four million, forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 37 74 111 222 383 766 859 1149 1369 1718 2298 2577 2738 4107 5154 8214 14171 28342 31783 42513 53299 63566 85026 95349 106598 159897 190698 319794 328997 524327 657994 986991 1048654 1175971 1572981 1972063 1973982 2351942 3145962 3527913 3944126 5916189 7055826 11832378 12172889 20413517 24345778 36518667 40827034 45783841 61240551 72966331 73037334 91567682 122481102 137351523 145932662 218898993 274703046 437797986 450396893 755300129 900793786 1351190679 1510600258 1694002117 2265900387 2702381358 3388004234 4531800774 5082006351 10164012702 17535211103 27946104773 35070422206 52605633309 55892209546 62678078329 83838314319 105211266618 125356156658 167676628638 188034234987 376068469974 648802810811 1297605621622 1946408432433 3892816864866 24005704000007 48011408000014 72017112000021 144034224000042