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144425554542 = 2323727380287
BaseRepresentation
bin1000011010000001101…
…1110001001001101110
3111210210021011100021200
42012200123301021232
54331240420221132
6150203112510330
713301666646453
oct2064033611156
9453707140250
10144425554542
1156283507835
1223ba79ab3a6
1310808701719
146dc12b982a
153b54506d7c
hex21a06f126e

144425554542 has 72 divisors (see below), whose sum is σ = 326017613376. Its totient is φ = 46198491264.

The previous prime is 144425554529. The next prime is 144425554547. The reversal of 144425554542 is 245455524441.

144425554542 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 2 + 55 + 54 + 542 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144425554547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1758723 + ... + 1839009.

It is an arithmetic number, because the mean of its divisors is an integer number (4528022408).

Almost surely, 2144425554542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144425554542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163008806688).

144425554542 is an abundant number, since it is smaller than the sum of its proper divisors (181592058834).

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

144425554542 is a wasteful number, since it uses less digits than its factorization.

144425554542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80442 (or 80402 counting only the distinct ones).

The product of its digits is 2560000, while the sum is 45.

The spelling of 144425554542 in words is "one hundred forty-four billion, four hundred twenty-five million, five hundred fifty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 37 73 74 111 146 219 222 333 438 657 666 1314 1369 2701 2738 4107 5402 8103 8214 12321 16206 24309 24642 48618 80287 99937 160574 199874 240861 299811 481722 599622 722583 899433 1445166 1798866 2970619 5860951 5941238 8911857 11721902 17582853 17823714 26735571 35165706 52748559 53471142 105497118 109912903 216855187 219825806 329738709 433710374 650565561 659477418 989216127 1301131122 1951696683 1978432254 3903393366 8023641919 16047283838 24070925757 48141851514 72212777271 144425554542