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14441434241130 = 23251331093970121
BaseRepresentation
bin1101001000100110100010…
…0011101101100001101010
31220010120212101022212012200
43102021220203231201222
53343102024131204010
650414145302521030
73020234126446311
oct322115043554152
956116771285180
1014441434241130
11466863a161676
121752a1b136176
13809a8a821820
1437cd7d4a5278
151a09c5188cc0
hexd22688ed86a

14441434241130 has 96 divisors (see below), whose sum is σ = 40449032179920. Its totient is φ = 3553670292480.

The previous prime is 14441434241111. The next prime is 14441434241131. The reversal of 14441434241130 is 3114243414441.

14441434241130 is a `hidden beast` number, since 1 + 4 + 441 + 4 + 3 + 42 + 41 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1405355717529 + 13036078523601 = 1185477^2 + 3610551^2 .

It is not an unprimeable number, because it can be changed into a prime (14441434241131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1652470 + ... + 5622590.

Almost surely, 214441434241130 is an apocalyptic number.

14441434241130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14441434241130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224516089960).

14441434241130 is an abundant number, since it is smaller than the sum of its proper divisors (26007597938790).

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

14441434241130 is a wasteful number, since it uses less digits than its factorization.

14441434241130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973256 (or 3973253 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 14441434241130 its reverse (3114243414441), we get a palindrome (17555677655571).

The spelling of 14441434241130 in words is "fourteen trillion, four hundred forty-one billion, four hundred thirty-four million, two hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 3109 6218 9327 15545 18654 27981 31090 40417 46635 55962 80834 93270 121251 139905 202085 242502 279810 363753 404170 606255 727506 1212510 1818765 3637530 3970121 7940242 11910363 19850605 23820726 35731089 39701210 51611573 59551815 71462178 103223146 119103630 154834719 178655445 258057865 309669438 357310890 464504157 516115730 774173595 929008314 1548347190 2322520785 4645041570 12343106189 24686212378 37029318567 61715530945 74058637134 111087955701 123431061890 160460380457 185146592835 222175911402 320920760914 370293185670 481381141371 555439778505 802301902285 962762282742 1110879557010 1444143424113 1604603804570 2406905706855 2888286848226 4813811413710 7220717120565 14441434241130