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540101440240533 = 32196661474176243
BaseRepresentation
bin111101011001110000010101…
…0011111001111101110010101
32121211100012020000012210120200
41322303200222133033232111
51031243010222200144113
65152411102030251113
7221523020120032053
oct17263405237175625
92554305200183520
10540101440240533
11147102809666a76
12506ab33b656a99
131a24a468c68802
149753098d811d3
154269427ee7873
hex1eb382a7cfb95

540101440240533 has 24 divisors (see below), whose sum is σ = 821330155757280. Its totient is φ = 341065487345760.

The previous prime is 540101440240519. The next prime is 540101440240543. The reversal of 540101440240533 is 335042044101045.

540101440240533 is a `hidden beast` number, since 5 + 40 + 1 + 0 + 1 + 4 + 40 + 2 + 40 + 533 = 666.

It is not a de Polignac number, because 540101440240533 - 210 = 540101440239509 is a prime.

It is a super-2 number, since 2×5401014402405332 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540101440240543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235949091 + ... + 238227152.

It is an arithmetic number, because the mean of its divisors is an integer number (34222089823220).

Almost surely, 2540101440240533 is an apocalyptic number.

It is an amenable number.

540101440240533 is a deficient number, since it is larger than the sum of its proper divisors (281228715516747).

540101440240533 is a wasteful number, since it uses less digits than its factorization.

540101440240533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474182929 (or 474182926 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 540101440240533 its reverse (335042044101045), we get a palindrome (875143484341578).

The spelling of 540101440240533 in words is "five hundred forty trillion, one hundred one billion, four hundred forty million, two hundred forty thousand, five hundred thirty-three".

Divisors: 1 3 9 19 57 171 6661 19983 59949 126559 379677 1139031 474176243 1422528729 4267586187 9009348617 27028045851 81084137553 3158487954623 9475463863869 28426391591607 60011271137837 180033813413511 540101440240533