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1072050128142 = 237291146776757
BaseRepresentation
bin11111001100110110010…
…10101100010100001110
310210111011000110011110120
433212123022230110032
5120031024313100032
62140254254445410
7140311254510450
oct17463312542416
93714130404416
101072050128142
11383721392644
1215392b503866
137a12b38c066
1439c5d4462d0
151cd46d3c62c
hexf99b2ac50e

1072050128142 has 64 divisors (see below), whose sum is σ = 2535150942720. Its totient is φ = 295708323456.

The previous prime is 1072050128137. The next prime is 1072050128161. The reversal of 1072050128142 is 2418210502701.

It is a super-2 number, since 2×10720501281422 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13928428 + ... + 14005184.

It is an arithmetic number, because the mean of its divisors is an integer number (39611733480).

Almost surely, 21072050128142 is an apocalyptic number.

1072050128142 is an abundant number, since it is smaller than the sum of its proper divisors (1463100814578).

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

1072050128142 is a wasteful number, since it uses less digits than its factorization.

1072050128142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88265.

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 1072050128142 in words is "one trillion, seventy-two billion, fifty million, one hundred twenty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 11467 22934 34401 68802 76757 80269 153514 160538 230271 240807 332543 460542 481614 537299 665086 997629 1074598 1611897 1995258 2225953 2327801 3223794 4451906 4655602 6677859 6983403 13355718 13966806 15581671 31163342 46745013 93490026 880172519 1760345038 2640517557 5281035114 6161207633 12322415266 18483622899 25525003051 36967245798 51050006102 76575009153 153150018306 178675021357 357350042714 536025064071 1072050128142