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542045440032 = 2535995700113
BaseRepresentation
bin1111110001101000110…
…11010000100000100000
31220211010002010100222020
413320310123100200200
532340102113040112
61053002350541440
754106251135225
oct7706433204040
91824102110866
10542045440032
11199975579948
1289075b07880
133c164bc7385
141c34131794c
15e176ea648c
hex7e346d0820

542045440032 has 48 divisors (see below), whose sum is σ = 1446985723680. Its totient is φ = 177619407872.

The previous prime is 542045440021. The next prime is 542045440039. The reversal of 542045440032 is 230044540245.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5420454400322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542045439975 and 542045440002.

It is not an unprimeable number, because it can be changed into a prime (542045440039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47844393 + ... + 47855720.

It is an arithmetic number, because the mean of its divisors is an integer number (30145535910).

Almost surely, 2542045440032 is an apocalyptic number.

It is an amenable number.

542045440032 is an abundant number, since it is smaller than the sum of its proper divisors (904940283648).

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

542045440032 is a wasteful number, since it uses less digits than its factorization.

542045440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95700185 (or 95700177 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 542045440032 its reverse (230044540245), we get a palindrome (772089980277).

The spelling of 542045440032 in words is "five hundred forty-two billion, forty-five million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 5664 95700113 191400226 287100339 382800452 574200678 765600904 1148401356 1531201808 2296802712 3062403616 4593605424 5646306667 9187210848 11292613334 16938920001 22585226668 33877840002 45170453336 67755680004 90340906672 135511360008 180681813344 271022720016 542045440032