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51142104342 = 23272334750857
BaseRepresentation
bin101111101000010011…
…101001010100010110
311220000011220002020200
4233220103221110112
51314214334314332
635254440441330
73460230500010
oct575023512426
9156004802220
1051142104342
111a764425a3a
129ab3479246
134a90573004
1426922ad1b0
1514e4c9617c
hexbe84e9516

51142104342 has 96 divisors (see below), whose sum is σ = 132526996992. Its totient is φ = 13936171392.

The previous prime is 51142104329. The next prime is 51142104401. The reversal of 51142104342 is 24340124115.

51142104342 is a `hidden beast` number, since 5 + 1 + 14 + 210 + 434 + 2 = 666.

51142104342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 980178 + ... + 1031034.

It is an arithmetic number, because the mean of its divisors is an integer number (1380489552).

Almost surely, 251142104342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51142104342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66263498496).

51142104342 is an abundant number, since it is smaller than the sum of its proper divisors (81384892650).

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

51142104342 is a wasteful number, since it uses less digits than its factorization.

51142104342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51242 (or 51239 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 51142104342 its reverse (24340124115), we get a palindrome (75482228457).

The spelling of 51142104342 in words is "fifty-one billion, one hundred forty-two million, one hundred four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 347 414 483 694 966 1041 1449 2082 2429 2898 3123 4858 6246 7287 7981 14574 15962 21861 23943 43722 47886 50857 55867 71829 101714 111734 143658 152571 167601 305142 335202 355999 457713 502803 711998 915426 1005606 1067997 1169711 2135994 2339422 3203991 3509133 6407982 7018266 8187977 10527399 16375954 17647379 21054798 24563931 35294758 49127862 52942137 73691793 105884274 123531653 147383586 158826411 247063306 317652822 370594959 405889717 741189918 811779434 1111784877 1217669151 2223569754 2435338302 2841228019 3653007453 5682456038 7306014906 8523684057 17047368114 25571052171 51142104342