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4441041201320 = 2356173174114321
BaseRepresentation
bin100000010100000001010…
…1011101110100010101000
3120201120002210112010010022
41000220002223232202220
51040230223021420240
613240104113340012
7635566066236233
oct100500253564250
916646083463108
104441041201320
111462486a86a69
125b8853867608
13262a33120a89
14114d3a0a441a
157a7c59a99b5
hex40a02aee8a8

4441041201320 has 128 divisors (see below), whose sum is σ = 10301909698080. Its totient is φ = 1722249216000.

The previous prime is 4441041201307. The next prime is 4441041201329. The reversal of 4441041201320 is 231021401444.

It can be written as a sum of positive squares in 16 ways, for example, as 1676356846564 + 2764684354756 = 1294742^2 + 1662734^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4441041201320.

It is not an unprimeable number, because it can be changed into a prime (4441041201329) 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, 310099760 + ... + 310114080.

Almost surely, 24441041201320 is an apocalyptic number.

4441041201320 is a gapful number since it is divisible by the number (40) 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 4441041201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150954849040).

4441041201320 is an abundant number, since it is smaller than the sum of its proper divisors (5860868496760).

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

4441041201320 is a wasteful number, since it uses less digits than its factorization.

4441041201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16207 (or 16203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4441041201320 its reverse (231021401444), we get a palindrome (4672062602764).

The spelling of 4441041201320 in words is "four trillion, four hundred forty-one billion, forty-one million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 73 122 146 244 292 305 365 488 584 610 730 1220 1460 1741 2440 2920 3482 4453 6964 8705 8906 13928 14321 17410 17812 22265 28642 34820 35624 44530 57284 69640 71605 89060 106201 114568 127093 143210 178120 212402 254186 286420 424804 508372 531005 572840 635465 849608 873581 1016744 1045433 1062010 1270930 1747162 2090866 2124020 2541860 3494324 4181732 4248040 4367905 5083720 5227165 6988648 7752673 8363464 8735810 10454330 15505346 17471620 20908660 24932861 31010692 34943240 38763365 41817320 49865722 62021384 63771413 77526730 99731444 124664305 127542826 155053460 199462888 249328610 255085652 310106920 318857065 498657220 510171304 637714130 997314440 1275428260 1520904521 1820098853 2550856520 3041809042 3640197706 6083618084 7280395412 7604522605 9100494265 12167236168 14560790824 15209045210 18200988530 30418090420 36401977060 60836180840 72803954120 111026030033 222052060066 444104120132 555130150165 888208240264 1110260300330 2220520600660 4441041201320