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4021431660444 = 22311269601188443
BaseRepresentation
bin111010100001010000000…
…000010110111110011100
3112020110000111010212002210
4322201100000112332130
51011341343001113234
612315230432520420
7563352553055142
oct72412000267634
915213014125083
104021431660444
111310530374340
1254b4693b0110
132322b0c88813
14dc8d1819592
156e917771be9
hex3a850016f9c

4021431660444 has 96 divisors (see below), whose sum is σ = 10291575087360. Its totient is φ = 1212058944000.

The previous prime is 4021431660443. The next prime is 4021431660451. The reversal of 4021431660444 is 4440661341204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021431660443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21246087 + ... + 21434529.

It is an arithmetic number, because the mean of its divisors is an integer number (107203907160).

Almost surely, 24021431660444 is an apocalyptic number.

4021431660444 is a gapful number since it is divisible by the number (44) 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 4021431660444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145787543680).

4021431660444 is an abundant number, since it is smaller than the sum of its proper divisors (6270143426916).

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

4021431660444 is a wasteful number, since it uses less digits than its factorization.

4021431660444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189331 (or 189329 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 4021431660444 in words is "four trillion, twenty-one billion, four hundred thirty-one million, six hundred sixty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 269 538 601 807 1076 1202 1614 1803 2404 2959 3228 3606 5918 6611 7212 8877 11836 13222 17754 19833 26444 35508 39666 79332 161669 188443 323338 376886 485007 565329 646676 753772 970014 1130658 1778359 1940028 2072873 2261316 3556718 4145746 5335077 6218619 7113436 8291492 10670154 12437238 21340308 24874476 50691167 101382334 113254243 152073501 202764668 226508486 304147002 339762729 453016972 557602837 608294004 679525458 1115205674 1245796673 1359050916 1672808511 2230411348 2491593346 3345617022 3737390019 4983186692 6691234044 7474780038 14949560076 30465391367 60930782734 91396174101 121861565468 182792348202 335119305037 365584696404 670238610074 1005357915111 1340477220148 2010715830222 4021431660444