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540416040054 = 23119784413627
BaseRepresentation
bin1111101110100110100…
…11100101110001110110
31220122220112010021101220
413313103103211301312
532323233001240204
61052132543131210
754021004356042
oct7672323456166
91818815107356
10540416040054
111992098475a0
12888a02a3b06
133bc65469787
141c228b6d022
15e0cddeb1d9
hex7dd34e5c76

540416040054 has 32 divisors (see below), whose sum is σ = 1191245118336. Its totient is φ = 162074161920.

The previous prime is 540416040053. The next prime is 540416040067. The reversal of 540416040054 is 450040614045.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 540416039997 and 540416040024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540416040053) 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, 42200412 + ... + 42213215.

It is an arithmetic number, because the mean of its divisors is an integer number (37226409948).

Almost surely, 2540416040054 is an apocalyptic number.

540416040054 is an abundant number, since it is smaller than the sum of its proper divisors (650829078282).

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

540416040054 is a wasteful number, since it uses less digits than its factorization.

540416040054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84413740.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 540416040054 its reverse (450040614045), we get a palindrome (990456654099).

The spelling of 540416040054 in words is "five hundred forty billion, four hundred sixteen million, forty thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 97 194 291 582 1067 2134 3201 6402 84413627 168827254 253240881 506481762 928549897 1857099794 2785649691 5571299382 8188121819 16376243638 24564365457 49128730914 90069340009 180138680018 270208020027 540416040054