Search a number
-
+
4240241044100 = 22523718113214793
BaseRepresentation
bin111101101101000010000…
…011111010101010000100
3120000100210200121020021022
4331231002003322222010
51023433003201402400
613003535001210312
7615230061122315
oct75550203725204
916010720536238
104240241044100
111395304587906
12585954190998
13249b120c52b9
1410932ba1660c
157547217bb85
hex3db420faa84

4240241044100 has 144 divisors (see below), whose sum is σ = 9511394679696. Its totient is φ = 1639554048000.

The previous prime is 4240241044099. The next prime is 4240241044103. The reversal of 4240241044100 is 14401420424.

It can be written as a sum of positive squares in 24 ways, for example, as 1278785535556 + 2961455508544 = 1130834^2 + 1720888^2 .

It is a super-2 number, since 2×42402410441002 (a number of 26 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 4240241044100.

It is not an unprimeable number, because it can be changed into a prime (4240241044103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 884671304 + ... + 884676096.

Almost surely, 24240241044100 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 4240241044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755697339848).

4240241044100 is an abundant number, since it is smaller than the sum of its proper divisors (5271153635596).

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

4240241044100 is a wasteful number, since it uses less digits than its factorization.

4240241044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6346 (or 6339 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 4240241044100 its reverse (14401420424), we get a palindrome (4254642464524).

The spelling of 4240241044100 in words is "four trillion, two hundred forty billion, two hundred forty-one million, forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 181 185 362 370 724 740 905 925 1321 1810 1850 2642 3620 3700 4525 4793 5284 6605 6697 9050 9586 13210 13394 18100 19172 23965 26420 26788 33025 33485 47930 48877 66050 66970 95860 97754 119825 132100 133940 167425 177341 195508 239101 239650 244385 334850 354682 478202 479300 488770 669700 709364 867533 886705 956404 977540 1195505 1221925 1735066 1773410 2391010 2443850 3470132 3546820 4337665 4433525 4782020 4887700 5977525 6331553 8675330 8846737 8867050 11955050 12663106 17350660 17693474 17734100 21688325 23910100 25326212 31657765 32098721 35386948 43376650 44233685 63315530 64197442 86753300 88467370 126631060 128394884 158288825 160493605 176934740 221168425 234267461 316577650 320987210 442336850 468534922 633155300 641974420 802468025 884673700 937069844 1146011093 1171337305 1604936050 2292022186 2342674610 3209872100 4584044372 4685349220 5730055465 5856686525 11460110930 11713373050 22920221860 23426746100 28650277325 42402410441 57300554650 84804820882 114601109300 169609641764 212012052205 424024104410 848048208820 1060060261025 2120120522050 4240241044100