Search a number
-
+
24041134142020 = 225191033731646741
BaseRepresentation
bin1010111011101100000110…
…10000101011001001000100
310011010022100222022010110101
411131312003100223021010
511122342220320021040
6123044202231333444
75030625500331232
oct535660320531104
9104108328263411
1024041134142020
1177298735213a6
1228433bb221284
1310550b9107a78
145d1850633952
152ba5721a509a
hex15dd8342b244

24041134142020 has 96 divisors (see below), whose sum is σ = 53803408538880. Its totient is φ = 8997681968640.

The previous prime is 24041134141987. The next prime is 24041134142033. The reversal of 24041134142020 is 2024143114042.

It is a super-2 number, since 2×240411341420202 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 24041134142020.

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, 13775850 + ... + 15422590.

It is an arithmetic number, because the mean of its divisors is an integer number (560452172280).

Almost surely, 224041134142020 is an apocalyptic number.

24041134142020 is a gapful number since it is divisible by the number (20) 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 24041134142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26901704269440).

24041134142020 is an abundant number, since it is smaller than the sum of its proper divisors (29762274396860).

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

24041134142020 is a wasteful number, since it uses less digits than its factorization.

24041134142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647245 (or 1647243 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 24041134142020 its reverse (2024143114042), we get a palindrome (26065277256062).

The spelling of 24041134142020 in words is "twenty-four trillion, forty-one billion, one hundred thirty-four million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 373 380 412 515 746 1030 1492 1865 1957 2060 3730 3914 7087 7460 7828 9785 14174 19570 28348 35435 38419 39140 70870 76838 141740 153676 192095 384190 729961 768380 1459922 1646741 2919844 3293482 3649805 6586964 7299610 8233705 14599220 16467410 31288079 32934820 62576158 125152316 156440395 169614323 312880790 339228646 614234393 625761580 678457292 848071615 1228468786 1696143230 2456937572 3071171965 3222672137 3392286460 6142343930 6445344274 11670453467 12284687860 12890688548 16113360685 23340906934 32226721370 46681813868 58352267335 63266142479 64453442740 116704534670 126532284958 233409069340 253064569916 316330712395 632661424790 1202056707101 1265322849580 2404113414202 4808226828404 6010283535505 12020567071010 24041134142020