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414452435201340 = 223550318217753839
BaseRepresentation
bin101111000111100010011101…
…0001011010010110100111100
32000100110021011210211122202020
41132033010322023102310330
5413310342041402420330
64025244453102400140
7153204125464134144
oct13617047213226474
92010407153748666
10414452435201340
1111006a321a11518
123a5977a9b90050
1314a3490a241c93
14744b867b8d924
1532dacd3e96210
hex178f13a2d2d3c

414452435201340 has 96 divisors (see below), whose sum is σ = 1162839281264640. Its totient is φ = 110294725280256.

The previous prime is 414452435201323. The next prime is 414452435201393. The reversal of 414452435201340 is 43102534254414.

It is a junction number, because it is equal to n+sod(n) for n = 414452435201292 and 414452435201301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549412141 + ... + 550165979.

It is an arithmetic number, because the mean of its divisors is an integer number (12112909179840).

Almost surely, 2414452435201340 is an apocalyptic number.

It is an amenable number.

414452435201340 is an abundant number, since it is smaller than the sum of its proper divisors (748386846063300).

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

414452435201340 is a wasteful number, since it uses less digits than its factorization.

414452435201340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772571 (or 772569 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

Adding to 414452435201340 its reverse (43102534254414), we get a palindrome (457554969455754).

The spelling of 414452435201340 in words is "four hundred fourteen trillion, four hundred fifty-two billion, four hundred thirty-five million, two hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 503 1006 1509 2012 2515 3018 5030 6036 7545 10060 15090 18217 30180 36434 54651 72868 91085 109302 182170 218604 273255 364340 546510 753839 1093020 1507678 2261517 3015356 3769195 4523034 7538390 9046068 9163151 11307585 15076780 18326302 22615170 27489453 36652604 45230340 45815755 54978906 91631510 109957812 137447265 183263020 274894530 379181017 549789060 758362034 1137543051 1516724068 1895905085 2275086102 3791810170 4550172204 5687715255 7583620340 11375430510 13732685063 22750861020 27465370126 41198055189 54930740252 68663425315 82396110378 137326850630 164792220756 205990275945 274653701260 411980551890 823961103780 6907540586689 13815081173378 20722621760067 27630162346756 34537702933445 41445243520134 69075405866890 82890487040268 103613108800335 138150811733780 207226217600670 414452435201340