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441344300100 = 2235211402733211
BaseRepresentation
bin1100110110000100010…
…10111001010001000100
31120012012001011102112220
412123002022321101010
524212333120100400
6534430100012340
743612631440044
oct6330212712104
91505161142486
10441344300100
1116019a395a60
12716513910b0
1332807069742
141750b103724
15b7314217a0
hex66c22b9444

441344300100 has 144 divisors (see below), whose sum is σ = 1393430981376. Its totient is φ = 106962768000.

The previous prime is 441344300093. The next prime is 441344300141. The reversal of 441344300100 is 1003443144.

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, 13272495 + ... + 13305705.

Almost surely, 2441344300100 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 441344300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696715490688).

441344300100 is an abundant number, since it is smaller than the sum of its proper divisors (952086681276).

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

441344300100 is a wasteful number, since it uses less digits than its factorization.

441344300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37266 (or 37259 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 441344300100 its reverse (1003443144), we get a palindrome (442347743244).

The spelling of 441344300100 in words is "four hundred forty-one billion, three hundred forty-four million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4027 8054 12081 16108 20135 24162 33211 40270 44297 48324 60405 66422 80540 88594 99633 100675 120810 132844 132891 166055 177188 199266 201350 221485 241620 265782 302025 332110 365321 398532 402700 442970 498165 531564 604050 664220 664455 730642 830275 885940 996330 1095963 1107425 1208100 1328910 1461284 1660550 1826605 1992660 2191926 2214850 2490825 2657820 3321100 3322275 3653210 4383852 4429700 4981650 5479815 6644550 7306420 9133025 9963300 10959630 13289100 18266050 21919260 27399075 36532100 54798150 109596300 133740697 267481394 401222091 534962788 668703485 802444182 1337406970 1471147667 1604888364 2006110455 2674813940 2942295334 3343517425 4012220910 4413443001 5884590668 6687034850 7355738335 8024441820 8826886002 10030552275 13374069700 14711476670 17653772004 20061104550 22067215005 29422953340 36778691675 40122209100 44134430010 73557383350 88268860020 110336075025 147114766700 220672150050 441344300100