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1245311111142 = 233723997143669
BaseRepresentation
bin10010000111110010010…
…100111000111111100110
311102001100212120001022000
4102013302110320333212
5130400344121024032
62352031002550130
7155653653535620
oct22076224707746
94361325501260
101245311111142
1144015172558a
12181424208346
1390580ab7187
14443b821dc10
15225d7acee7c
hex121f2538fe6

1245311111142 has 128 divisors (see below), whose sum is σ = 3303536486400. Its totient is φ = 339989747328.

The previous prime is 1245311111071. The next prime is 1245311111153. The reversal of 1245311111142 is 2411111135421.

1245311111142 is a `hidden beast` number, since 1 + 2 + 4 + 531 + 1 + 11 + 114 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 8596084 + ... + 8739752.

It is an arithmetic number, because the mean of its divisors is an integer number (25808878800).

Almost surely, 21245311111142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1245311111142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651768243200).

1245311111142 is an abundant number, since it is smaller than the sum of its proper divisors (2058225375258).

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

1245311111142 is a wasteful number, since it uses less digits than its factorization.

1245311111142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144707 (or 144701 counting only the distinct ones).

The product of its digits is 960, while the sum is 27.

Adding to 1245311111142 its reverse (2411111135421), we get a palindrome (3656422246563).

The spelling of 1245311111142 in words is "one trillion, two hundred forty-five billion, three hundred eleven million, one hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 161 189 207 322 378 414 483 621 966 997 1242 1449 1994 2898 2991 4347 5982 6979 8694 8973 13958 17946 20937 22931 26919 41874 45862 53838 62811 68793 125622 137586 143669 160517 188433 206379 287338 321034 376866 412758 431007 481551 619137 862014 963102 1005683 1238274 1293021 1444653 2011366 2586042 2889306 3017049 3304387 3879063 4333959 6034098 6608774 7758126 8667918 9051147 9913161 18102294 19826322 23130709 27153441 29739483 46261418 54306882 59478966 69392127 89218449 138784254 143237993 178436898 208176381 286475986 416352762 429713979 624529143 859427958 1002665951 1249058286 1289141937 2005331902 2578283874 3007997853 3294473839 3867425811 6015995706 6588947678 7734851622 9023993559 9883421517 18047987118 19766843034 23061316873 27071980677 29650264551 46122633746 54143961354 59300529102 69183950619 88950793653 138367901238 177901587306 207551851857 415103703714 622655555571 1245311111142