Search a number
-
+
14413121254400 = 210521151182959
BaseRepresentation
bin1101000110111101000011…
…1110001111010000000000
31220000212210012110002222112
43101233100332033100000
53342121033020120100
650353144013154452
73015212403153431
oct321572076172000
956025705402875
1014413121254400
114657630220690
12174943918ba28
138071c7b09b3b
1437b855121488
1519edb96eab35
hexd1bd0f8f400

14413121254400 has 132 divisors (see below), whose sum is σ = 38975005112640. Its totient is φ = 5241134899200.

The previous prime is 14413121254387. The next prime is 14413121254457. The reversal of 14413121254400 is 445212131441.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 25309880 + ... + 25873079.

Almost surely, 214413121254400 is an apocalyptic number.

14413121254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14413121254400 is an abundant number, since it is smaller than the sum of its proper divisors (24561883858240).

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

14413121254400 is a wasteful number, since it uses less digits than its factorization.

14413121254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51183000 (or 51182977 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 14413121254400 its reverse (445212131441), we get a palindrome (14858333385841).

The spelling of 14413121254400 in words is "fourteen trillion, four hundred thirteen billion, one hundred twenty-one million, two hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1024 1100 1280 1408 1600 1760 2200 2560 2816 3200 3520 4400 5120 5632 6400 7040 8800 11264 12800 14080 17600 25600 28160 35200 56320 70400 140800 281600 51182959 102365918 204731836 255914795 409463672 511829590 563012549 818927344 1023659180 1126025098 1279573975 1637854688 2047318360 2252050196 2559147950 2815062745 3275709376 4094636720 4504100392 5118295900 5630125490 6551418752 8189273440 9008200784 10236591800 11260250980 13102837504 14075313725 16378546880 18016401568 20473183600 22520501960 26205675008 28150627450 32757093760 36032803136 40946367200 45041003920 52411350016 56301254900 65514187520 72065606272 81892734400 90082007840 112602509800 131028375040 144131212544 163785468800 180164015680 225205019600 262056750080 288262425088 327570937600 360328031360 450410039200 576524850176 655141875200 720656062720 900820078400 1310283750400 1441312125440 1801640156800 2882624250880 3603280313600 7206560627200 14413121254400