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1314034300320 = 25357391081637
BaseRepresentation
bin10011000111110010100…
…011000011010110100000
311122121202022100202222220
4103013302203003112200
5133012120240102240
62443354203231040
7163635665156010
oct23076243032640
94577668322886
101314034300320
114673081187a5
12192803518480
1396bb3855761
144785742dc40
15242ab0815d0
hex131f28c35a0

1314034300320 has 96 divisors (see below), whose sum is σ = 4730523493248. Its totient is φ = 300350696448.

The previous prime is 1314034300307. The next prime is 1314034300339. The reversal of 1314034300320 is 230034304131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13140343003202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195537459 + ... + 195544178.

It is an arithmetic number, because the mean of its divisors is an integer number (49276286388).

Almost surely, 21314034300320 is an apocalyptic number.

1314034300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314034300320 is an abundant number, since it is smaller than the sum of its proper divisors (3416489192928).

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

1314034300320 is a wasteful number, since it uses less digits than its factorization.

1314034300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391081662 (or 391081654 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1314034300320 its reverse (230034304131), we get a palindrome (1544068604451).

The spelling of 1314034300320 in words is "one trillion, three hundred fourteen billion, thirty-four million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 391081637 782163274 1173244911 1564326548 1955408185 2346489822 2737571459 3128653096 3910816370 4692979644 5475142918 5866224555 6257306192 7821632740 8212714377 9385959288 10950285836 11732449110 12514612384 13687857295 15643265480 16425428754 18771918576 21900571672 23464898220 27375714590 31286530960 32850857508 37543837152 41063571885 43801143344 46929796440 54751429180 62573061920 65701715016 82127143770 87602286688 93859592880 109502858360 131403430032 164254287540 187719185760 219005716720 262806860064 328508575080 438011433440 657017150160 1314034300320