Search a number
-
+
13884155616000 = 28353144626621
BaseRepresentation
bin1100101000001010100000…
…1010011101101100000000
31211011022102200021111201210
43022002220022131230000
53304434222314203000
645310143143530120
72632045214341515
oct312025012355400
954138380244653
1013884155616000
11447326798235a
121682a13759940
137993689a5477
1435ddd4dc730c
1519125abab350
hexca0a829db00

13884155616000 has 144 divisors (see below), whose sum is σ = 46116223197408. Its totient is φ = 3702441472000.

The previous prime is 13884155615951. The next prime is 13884155616083. The reversal of 13884155616000 is 61655148831.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 72217311 + ... + 72409310.

It is an arithmetic number, because the mean of its divisors is an integer number (320251549982).

Almost surely, 213884155616000 is an apocalyptic number.

13884155616000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13884155616000 is an abundant number, since it is smaller than the sum of its proper divisors (32232067581408).

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

13884155616000 is an equidigital number, since it uses as much as digits as its factorization.

13884155616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144626655 (or 144626631 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 13884155616000 in words is "thirteen trillion, eight hundred eighty-four billion, one hundred fifty-five million, six hundred sixteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 600 640 750 768 800 960 1000 1200 1280 1500 1600 1920 2000 2400 3000 3200 3840 4000 4800 6000 6400 8000 9600 12000 16000 19200 24000 32000 48000 96000 144626621 289253242 433879863 578506484 723133105 867759726 1157012968 1446266210 1735519452 2169399315 2314025936 2892532420 3471038904 3615665525 4338798630 4628051872 5785064840 6942077808 7231331050 8677597260 9256103744 10846996575 11570129680 13884155616 14462662100 17355194520 18078327625 18512207488 21693993150 23140259360 27768311232 28925324200 34710389040 36156655250 37024414976 43387986300 46280518720 54234982875 55536622464 57850648400 69420778080 72313310500 86775972600 92561037440 108469965750 111073244928 115701296800 138841556160 144626621000 173551945200 185122074880 216939931500 231402593600 277683112320 289253242000 347103890400 433879863000 462805187200 555366224640 578506484000 694207780800 867759726000 925610374400 1157012968000 1388415561600 1735519452000 2314025936000 2776831123200 3471038904000 4628051872000 6942077808000 13884155616000