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13873414320 = 24355713653
BaseRepresentation
bin11001110101110101…
…11000000010110000
31022210212021110200000
430322322320002300
5211403043224240
610212351230000
71000540035033
oct147272700260
938725243600
1013873414320
11597a1a9577
122832218300
13140131a4cc
1495876501a
15562e7b430
hex33aeb80b0

13873414320 has 120 divisors (see below), whose sum is σ = 48317230416. Its totient is φ = 3699571968.

The previous prime is 13873414301. The next prime is 13873414327. The reversal of 13873414320 is 2341437831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13873414327) 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, 337387 + ... + 376266.

Almost surely, 213873414320 is an apocalyptic number.

13873414320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13873414320 is an abundant number, since it is smaller than the sum of its proper divisors (34443816096).

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

13873414320 is an equidigital number, since it uses as much as digits as its factorization.

13873414320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713681 (or 713663 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13873414320 in words is "thirteen billion, eight hundred seventy-three million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 713653 1427306 2140959 2854612 3568265 4281918 5709224 6422877 7136530 8563836 10704795 11418448 12845754 14273060 17127672 19268631 21409590 25691508 28546120 32114385 34255344 38537262 42819180 51383016 57092240 57805893 64228770 77074524 85638360 96343155 102766032 115611786 128457540 154149048 171276720 173417679 192686310 231223572 256915080 289029465 308298096 346835358 385372620 462447144 513830160 578058930 693670716 770745240 867088395 924894288 1156117860 1387341432 1541490480 1734176790 2312235720 2774682864 3468353580 4624471440 6936707160 13873414320