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1054131414042 = 237151166214351
BaseRepresentation
bin11110101011011110010…
…00001110010000011010
310201202220020020011201210
433111233020032100122
5114232330120222132
62124132234323550
7136105234115460
oct17255710162032
93652806204653
101054131414042
1137706677a513
1215036a5895b6
1378533c4c255
143903d738830
151c648b8dbcc
hexf56f20e41a

1054131414042 has 32 divisors (see below), whose sum is σ = 2425399824384. Its totient is φ = 299185830000.

The previous prime is 1054131414031. The next prime is 1054131414101. The reversal of 1054131414042 is 2404141314501.

1054131414042 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10541314140422 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83100834 + ... + 83113517.

It is an arithmetic number, because the mean of its divisors is an integer number (75793744512).

Almost surely, 21054131414042 is an apocalyptic number.

1054131414042 is an abundant number, since it is smaller than the sum of its proper divisors (1371268410342).

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

1054131414042 is a wasteful number, since it uses less digits than its factorization.

1054131414042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166214514.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1054131414042 its reverse (2404141314501), we get a palindrome (3458272728543).

The spelling of 1054131414042 in words is "one trillion, fifty-four billion, one hundred thirty-one million, four hundred fourteen thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 151 302 453 906 1057 2114 3171 6342 166214351 332428702 498643053 997286106 1163500457 2327000914 3490501371 6981002742 25098367001 50196734002 75295101003 150590202006 175688569007 351377138014 527065707021 1054131414042