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1142104232032 = 255928110612029
BaseRepresentation
bin10000100111101010101…
…101111001000001100000
311001011222012121100220221
4100213222231321001200
5122203012140411112
62232401521212424
7145341256536421
oct20475255710140
94034865540827
101142104232032
11400400078775
12165420491114
1383913a9aa3a
143d3c7303648
151ea97088e07
hex109eab79060

1142104232032 has 96 divisors (see below), whose sum is σ = 2298060525600. Its totient is φ = 558572851200.

The previous prime is 1142104231981. The next prime is 1142104232041. The reversal of 1142104232032 is 2302324012411.

It is a junction number, because it is equal to n+sod(n) for n = 1142104231988 and 1142104232006.

It is a congruent number.

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, 562889194 + ... + 562891222.

It is an arithmetic number, because the mean of its divisors is an integer number (23938130475).

Almost surely, 21142104232032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142104232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149030262800).

1142104232032 is an abundant number, since it is smaller than the sum of its proper divisors (1155956293568).

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

1142104232032 is a wasteful number, since it uses less digits than its factorization.

1142104232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3432 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1142104232032 its reverse (2302324012411), we get a palindrome (3444428244443).

The spelling of 1142104232032 in words is "one trillion, one hundred forty-two billion, one hundred four million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 59 118 236 281 472 562 944 1061 1124 1888 2029 2122 2248 4058 4244 4496 8116 8488 8992 16232 16579 16976 32464 33158 33952 62599 64928 66316 119711 125198 132632 239422 250396 265264 298141 478844 500792 530528 570149 596282 957688 1001584 1140298 1192564 1915376 2003168 2152769 2280596 2385128 3830752 4305538 4561192 4770256 8611076 9122384 9540512 17222152 17590319 18244768 33638791 34444304 35180638 67277582 68888608 70361276 127013371 134555164 140722552 254026742 269110328 281445104 508053484 538220656 562890208 604928089 1016106968 1076441312 1209856178 2032213936 2419712356 4064427872 4839424712 9678849424 19357698848 35690757251 71381514502 142763029004 285526058008 571052116016 1142104232032