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1431001034412 = 2231789149528973
BaseRepresentation
bin10100110100101110010…
…011101110111010101100
312001210122220220111220120
4110310232103232322230
5141421142231100122
63013220502244540
7205246353045405
oct24645623567254
95053586814816
101431001034412
1150197a861294
121b1407426750
13a4c344abc11
144d3919909ac
1527354ac175c
hex14d2e4eeeac

1431001034412 has 96 divisors (see below), whose sum is σ = 3599139096000. Its totient is φ = 440917204992.

The previous prime is 1431001034357. The next prime is 1431001034447. The reversal of 1431001034412 is 2144301001341.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2440758 + ... + 2969730.

It is an arithmetic number, because the mean of its divisors is an integer number (37491032250).

Almost surely, 21431001034412 is an apocalyptic number.

1431001034412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431001034412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799569548000).

1431001034412 is an abundant number, since it is smaller than the sum of its proper divisors (2168138061588).

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

1431001034412 is a wasteful number, since it uses less digits than its factorization.

1431001034412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529235 (or 529233 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1431001034412 its reverse (2144301001341), we get a palindrome (3575302035753).

The spelling of 1431001034412 in words is "one trillion, four hundred thirty-one billion, one million, thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 149 178 204 267 298 356 447 534 596 894 1068 1513 1788 2533 3026 4539 5066 6052 7599 9078 10132 13261 15198 18156 26522 30396 39783 53044 79566 159132 225437 450874 528973 676311 901748 1057946 1352622 1586919 2115892 2705244 3173838 6347676 8992541 17985082 26977623 35970164 47078597 53955246 78816977 94157194 107910492 141235791 157633954 188314388 236450931 282471582 315267908 472901862 564943164 800336149 945803724 1339888609 1600672298 2401008447 2679777218 3201344596 4019665827 4802016894 5359554436 7014710953 8039331654 9604033788 14029421906 16078663308 21044132859 28058843812 42088265718 84176531436 119250086201 238500172402 357750258603 477000344804 715500517206 1431001034412