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1324414318360 = 235725233129127
BaseRepresentation
bin10011010001011101001…
…111101011011100011000
311200121112201012022212111
4103101131033223130120
5133144400031141420
62452232203122104
7164454135650200
oct23213517533430
94617481168774
101324414318360
1147075439aa01
1219481b813334
1397b791a9373
144815dc35400
15246b74a745a
hex1345d3eb718

1324414318360 has 96 divisors (see below), whose sum is σ = 3467141033760. Its totient is φ = 453994619904.

The previous prime is 1324414318351. The next prime is 1324414318361. The reversal of 1324414318360 is 638134144231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1324414318361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10192117 + ... + 10321243.

It is an arithmetic number, because the mean of its divisors is an integer number (36116052435).

Almost surely, 21324414318360 is an apocalyptic number.

1324414318360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1324414318360 is an abundant number, since it is smaller than the sum of its proper divisors (2142726715400).

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

1324414318360 is a wasteful number, since it uses less digits than its factorization.

1324414318360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134385 (or 134374 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 1324414318360 in words is "one trillion, three hundred twenty-four billion, four hundred fourteen million, three hundred eighteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5233 10466 20932 26165 36631 41864 52330 73262 104660 129127 146524 183155 209320 256417 258254 293048 366310 512834 516508 645635 732620 903889 1025668 1033016 1282085 1291270 1465240 1807778 2051336 2564170 2582540 3615556 4519445 5128340 5165080 6327223 7231112 9038890 10256680 12654446 18077780 25308892 31636115 36155560 50617784 63272230 126544460 253088920 675721591 1351443182 2702886364 3378607955 4730051137 5405772728 6757215910 9460102274 13514431820 18920204548 23650255685 27028863640 33110357959 37840409096 47300511370 66220715918 94601022740 132441431836 165551789795 189202045480 264882863672 331103579590 662207159180 1324414318360