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13132023014400 = 210352170989883
BaseRepresentation
bin1011111100011000100110…
…0100010010010000000000
31201111102001021002112221120
42333012021210102100000
53210123340342430100
643532433523552240
72523520525613043
oct277061144222000
951442037075846
1013132023014400
114203294705554
1215810a7b2b680
13743462a04794
1433584405ac5a
1517b8d9e070a0
hexbf189912400

13132023014400 has 132 divisors (see below), whose sum is σ = 43402020275952. Its totient is φ = 3501872783360.

The previous prime is 13132023014353. The next prime is 13132023014423. The reversal of 13132023014400 is 441032023131.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 85418142 + ... + 85571741.

Almost surely, 213132023014400 is an apocalyptic number.

13132023014400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132023014400 is an abundant number, since it is smaller than the sum of its proper divisors (30269997261552).

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

13132023014400 is a wasteful number, since it uses less digits than its factorization.

13132023014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170989916 (or 170989893 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13132023014400 its reverse (441032023131), we get a palindrome (13573055037531).

The spelling of 13132023014400 in words is "thirteen trillion, one hundred thirty-two billion, twenty-three million, fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 512 600 640 768 800 960 1024 1200 1280 1536 1600 1920 2400 2560 3072 3200 3840 4800 5120 6400 7680 9600 12800 15360 19200 25600 38400 76800 170989883 341979766 512969649 683959532 854949415 1025939298 1367919064 1709898830 2051878596 2564848245 2735838128 3419797660 4103757192 4274747075 5129696490 5471676256 6839595320 8207514384 8549494150 10259392980 10943352512 12824241225 13679190640 16415028768 17098988300 20518785960 21886705024 25648482450 27358381280 32830057536 34197976600 41037571920 43773410048 51296964900 54716762560 65660115072 68395953200 82075143840 87546820096 102593929800 109433525120 131320230144 136791906400 164150287680 175093640192 205187859600 218867050240 262640460288 273583812800 328300575360 410375719200 437734100480 525280920576 547167625600 656601150720 820751438400 875468200960 1094335251200 1313202301440 1641502876800 2188670502400 2626404602880 3283005753600 4377341004800 6566011507200 13132023014400