Search a number
-
+
3441142310100 = 22352117114686907
BaseRepresentation
bin110010000100110100000…
…100001010010011010100
3110011222012010100112210220
4302010310010022103110
5422334424412410400
611152501114114340
7503420500011045
oct62046404122324
913158163315726
103441142310100
11110742013a650
12476abb71b9b0
131bc662a96621
14bc7a325a8cc
155e7a30667a0
hex3213410a4d4

3441142310100 has 144 divisors (see below), whose sum is σ = 11014476028416. Its totient is φ = 822466736000.

The previous prime is 3441142310063. The next prime is 3441142310167. The reversal of 3441142310100 is 10132411443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7109154 + ... + 7577753.

It is an arithmetic number, because the mean of its divisors is an integer number (76489416864).

Almost surely, 23441142310100 is an apocalyptic number.

3441142310100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3441142310100 is an abundant number, since it is smaller than the sum of its proper divisors (7573333718316).

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

3441142310100 is a wasteful number, since it uses less digits than its factorization.

3441142310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14687006 (or 14686999 counting only the distinct ones).

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

Adding to 3441142310100 its reverse (10132411443), we get a palindrome (3451274721543).

The spelling of 3441142310100 in words is "three trillion, four hundred forty-one billion, one hundred forty-two million, three hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 71 75 100 110 132 142 150 165 213 220 275 284 300 330 355 426 550 660 710 781 825 852 1065 1100 1420 1562 1650 1775 2130 2343 3124 3300 3550 3905 4260 4686 5325 7100 7810 9372 10650 11715 15620 19525 21300 23430 39050 46860 58575 78100 117150 234300 14686907 29373814 44060721 58747628 73434535 88121442 146869070 161555977 176242884 220303605 293738140 323111954 367172675 440607210 484667931 646223908 734345350 807779885 881214420 969335862 1042770397 1101518025 1468690700 1615559770 1938671724 2085540794 2203036050 2423339655 3128311191 3231119540 4038899425 4171081588 4406072100 4846679310 5213851985 6256622382 8077798850 9693358620 10427703970 11470474367 12116698275 12513244764 15641555955 16155597700 20855407940 22940948734 24233396550 26069259925 31283111910 34411423101 45881897468 48466793100 52138519850 57352371835 62566223820 68822846202 78207779775 104277039700 114704743670 137645692404 156415559550 172057115505 229409487340 286761859175 312831119100 344114231010 573523718350 688228462020 860285577525 1147047436700 1720571155050 3441142310100