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4441101334040 = 2357103153991031
BaseRepresentation
bin100000010100000011001…
…0001000111011000011000
3120201120020222200011201002
41000220012101013120120
51040230333420142130
613240114102244132
7635600426325260
oct100500621073030
916646228604632
104441101334040
111462507a18628
125b886ba26648
13262a42716277
14114d440787a0
157a7cadd6b45
hex40a06447618

4441101334040 has 64 divisors (see below), whose sum is σ = 11530848476160. Its totient is φ = 1507880165760.

The previous prime is 4441101333989. The next prime is 4441101334093. The reversal of 4441101334040 is 404331011444.

It is a junction number, because it is equal to n+sod(n) for n = 4441101333994 and 4441101334012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76966676 + ... + 77024355.

It is an arithmetic number, because the mean of its divisors is an integer number (180169507440).

Almost surely, 24441101334040 is an apocalyptic number.

4441101334040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4441101334040 is an abundant number, since it is smaller than the sum of its proper divisors (7089747142120).

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

4441101334040 is a wasteful number, since it uses less digits than its factorization.

4441101334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153991152 (or 153991148 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 4441101334040 its reverse (404331011444), we get a palindrome (4845432345484).

The spelling of 4441101334040 in words is "four trillion, four hundred forty-one billion, one hundred one million, three hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 515 721 824 1030 1442 2060 2884 3605 4120 5768 7210 14420 28840 153991031 307982062 615964124 769955155 1077937217 1231928248 1539910310 2155874434 3079820620 4311748868 5389686085 6159641240 8623497736 10779372170 15861076193 21558744340 31722152386 43117488680 63444304772 79305380965 111027533351 126888609544 158610761930 222055066702 317221523860 444110133404 555137666755 634443047720 888220266808 1110275333510 2220550667020 4441101334040