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542144441245 = 5111729101197963
BaseRepresentation
bin1111110001110100101…
…00111010101110011101
31220211100222102011002211
413320322110322232131
532340302434104440
61053020244520421
754111562500421
oct7707224725635
91824328364084
10542144441245
11199a16448a30
12890a30b0111
133c17c57b384
141c350528b81
15e180a0eeea
hex7e3a53ab9d

542144441245 has 64 divisors (see below), whose sum is σ = 785077712640. Its totient is φ = 354747904000.

The previous prime is 542144441239. The next prime is 542144441257.

542144441245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542144441245 - 211 = 542144439197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542144441198 and 542144441207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2639634 + ... + 2837596.

It is an arithmetic number, because the mean of its divisors is an integer number (12266839260).

Almost surely, 2542144441245 is an apocalyptic number.

542144441245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542144441245 is a deficient number, since it is larger than the sum of its proper divisors (242933271395).

542144441245 is a wasteful number, since it uses less digits than its factorization.

542144441245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198126.

The product of its digits is 409600, while the sum is 40.

It can be divided in two parts, 542144 and 441245, that added together give a palindrome (983389).

The spelling of 542144441245 in words is "five hundred forty-two billion, one hundred forty-four million, four hundred forty-one thousand, two hundred forty-five".

Divisors: 1 5 11 17 29 55 85 101 145 187 319 493 505 935 1111 1595 1717 2465 2929 5423 5555 8585 14645 18887 27115 32219 49793 94435 161095 197963 248965 547723 989815 2177593 2738615 3365371 5740927 10887965 16826855 19994263 28704635 37019081 63150197 97595759 99971315 185095405 219936893 315750985 339902471 487978795 579833627 1073553349 1099684465 1699512355 2899168135 3738927181 5367766745 6378169897 9857171659 18694635905 31890849485 49285858295 108428888249 542144441245