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13401224320 = 275112173053
BaseRepresentation
bin11000111101100011…
…00111010010000000
31021120221202201202111
430132301213102000
5204421203134240
610053442425104
7653044345561
oct143661472200
937527681674
1013401224320
115757707200
122720062194
131357551643
14911b6c168
155367a81ea
hex31ec67480

13401224320 has 96 divisors (see below), whose sum is σ = 35214758460. Its totient is φ = 4873144320.

The previous prime is 13401224311. The next prime is 13401224341. The reversal of 13401224320 is 2342210431.

It can be written as a sum of positive squares in 2 ways, for example, as 13350415936 + 50808384 = 115544^2 + 7128^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13401224291 and 13401224300.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9087 + ... + 163966.

Almost surely, 213401224320 is an apocalyptic number.

13401224320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13401224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17607379230).

13401224320 is an abundant number, since it is smaller than the sum of its proper divisors (21813534140).

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

13401224320 is a wasteful number, since it uses less digits than its factorization.

13401224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173094 (or 173071 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13401224320 its reverse (2342210431), we get a palindrome (15743434751).

The spelling of 13401224320 in words is "thirteen billion, four hundred one million, two hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 605 640 704 880 968 1210 1408 1760 1936 2420 3520 3872 4840 7040 7744 9680 15488 19360 38720 77440 173053 346106 692212 865265 1384424 1730530 1903583 2768848 3461060 3807166 5537696 6922120 7614332 9517915 11075392 13844240 15228664 19035830 20939413 22150784 27688480 30457328 38071660 41878826 55376960 60914656 76143320 83757652 104697065 110753920 121829312 152286640 167515304 209394130 243658624 304573280 335030608 418788260 609146560 670061216 837576520 1218293120 1340122432 1675153040 2680244864 3350306080 6700612160 13401224320