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542114505544131 = 33135003308711927
BaseRepresentation
bin111101101000011001101111…
…0100001111101000111000011
32122002110122021222201211201000
41323100303132201331013003
51032024001001404403011
65200551544334143043
7222121323550551222
oct17320633641750703
92562418258654630
10542114505544131
1114780951a535823
125097550b051a83
131a365242287850
1497c26a6b18cb9
1542a1998026356
hex1ed0cde87d1c3

542114505544131 has 32 divisors (see below), whose sum is σ = 865084913118720. Its totient is φ = 333542243632032.

The previous prime is 542114505544069. The next prime is 542114505544147. The reversal of 542114505544131 is 131445505411245.

542114505544131 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 1 + 4 + 50 + 554 + 41 + 3 + 1 = 666.

It is not a de Polignac number, because 542114505544131 - 214 = 542114505527747 is a prime.

It is a super-2 number, since 2×5421145055441312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542114505544831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152599911 + ... + 156112016.

It is an arithmetic number, because the mean of its divisors is an integer number (27033903534960).

Almost surely, 2542114505544131 is an apocalyptic number.

542114505544131 is a deficient number, since it is larger than the sum of its proper divisors (322970407574589).

542114505544131 is a wasteful number, since it uses less digits than its factorization.

542114505544131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308716952 (or 308716946 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 542114505544131 in words is "five hundred forty-two trillion, one hundred fourteen billion, five hundred five million, five hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 5003 15009 45027 65039 135081 195117 585351 1756053 308711927 926135781 2778407343 4013255051 8335222029 12039765153 36119295459 108357886377 1544485770781 4633457312343 13900371937029 20078315020153 41701115811087 60234945060459 180704835181377 542114505544131