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4112321141000 = 235319012163241
BaseRepresentation
bin111011110101111001011…
…100001101100100001000
3112120010121201201212011102
4323311321130031210020
51014334013203003000
612425101345520532
7603051102645362
oct73657134154410
915503551655142
104112321141000
111346031092326
12564bb4043148
1323aa37160347
141030748d5d32
1571e86c4d3d5
hex3bd7970d908

4112321141000 has 64 divisors (see below), whose sum is σ = 9627897904560. Its totient is φ = 1644062400000.

The previous prime is 4112321140999. The next prime is 4112321141003. The reversal of 4112321141000 is 1411232114.

It can be written as a sum of positive squares in 8 ways, for example, as 282213812644 + 3830107328356 = 531238^2 + 1957066^2 .

It is a super-2 number, since 2×41123211410002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4112321141003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819380 + ... + 2982620.

Almost surely, 24112321141000 is an apocalyptic number.

4112321141000 is a gapful number since it is divisible by the number (40) 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 4112321141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813948952280).

4112321141000 is an abundant number, since it is smaller than the sum of its proper divisors (5515576763560).

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

4112321141000 is a wasteful number, since it uses less digits than its factorization.

4112321141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165163 (or 2165149 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 4112321141000 its reverse (1411232114), we get a palindrome (4113732373114).

The spelling of 4112321141000 in words is "four trillion, one hundred twelve billion, three hundred twenty-one million, one hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1901 3802 7604 9505 15208 19010 38020 47525 76040 95050 190100 237625 380200 475250 950500 1901000 2163241 4326482 8652964 10816205 17305928 21632410 43264820 54081025 86529640 108162050 216324100 270405125 432648200 540810250 1081620500 2163241000 4112321141 8224642282 16449284564 20561605705 32898569128 41123211410 82246422820 102808028525 164492845640 205616057050 411232114100 514040142625 822464228200 1028080285250 2056160570500 4112321141000