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42540543611544 = 23311364541442031
BaseRepresentation
bin10011010110000101111011…
…11111011001001010011000
312120121211120121221102212110
421223002331333121022120
521033441013131032134
6230250504514512320
711650311220325316
oct1153027577311230
9176554517842773
1042540543611544
1112611385925830
124930785b956a0
131a9772c843894
14a70d8aa250b6
154db89cde47e9
hex26b0bdfd9298

42540543611544 has 64 divisors (see below), whose sum is σ = 116020245127680. Its totient is φ = 12891009296000.

The previous prime is 42540543611539. The next prime is 42540543611581. The reversal of 42540543611544 is 44511634504524.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42540543611493 and 42540543611502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96017809 + ... + 96459839.

It is an arithmetic number, because the mean of its divisors is an integer number (1812816330120).

Almost surely, 242540543611544 is an apocalyptic number.

42540543611544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42540543611544 is an abundant number, since it is smaller than the sum of its proper divisors (73479701516136).

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

42540543611544 is a wasteful number, since it uses less digits than its factorization.

42540543611544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806592 (or 806588 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 42540543611544 in words is "forty-two trillion, five hundred forty billion, five hundred forty-three million, six hundred eleven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 364541 442031 729082 884062 1093623 1326093 1458164 1768124 2187246 2652186 2916328 3536248 4009951 4374492 4862341 5304372 8019902 8748984 9724682 10608744 12029853 14587023 16039804 19449364 24059706 29174046 32079608 38898728 48119412 58348092 96238824 116696184 161138422771 322276845542 483415268313 644553691084 966830536626 1289107382168 1772522650481 1933661073252 3545045300962 3867322146504 5317567951443 7090090601924 10635135902886 14180181203848 21270271805772 42540543611544