Search a number
-
+
14257514054400 = 28352742578857
BaseRepresentation
bin1100111101111001011000…
…0011111000001100000000
31212111000010200001022201220
43033132112003320030000
53332043342044220100
650153451142555040
73001033326610341
oct317362603701400
955430120038656
1014257514054400
1145a7639a9a151
121723250738a80
137c5629981c76
143740d2bb00c8
1519ad0d723aa0
hexcf7960f8300

14257514054400 has 108 divisors (see below), whose sum is σ = 47052766758312. Its totient is φ = 3802003742720.

The previous prime is 14257514054383. The next prime is 14257514054429. The reversal of 14257514054400 is 445041575241.

It is a super-2 number, since 2×142575140544002 (a number of 27 digits) contains 22 as substring.

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, 371270229 + ... + 371308628.

Almost surely, 214257514054400 is an apocalyptic number.

14257514054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14257514054400 is an abundant number, since it is smaller than the sum of its proper divisors (32795252703912).

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

14257514054400 is an equidigital number, since it uses as much as digits as its factorization.

14257514054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742578886 (or 742578867 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 42.

The spelling of 14257514054400 in words is "fourteen trillion, two hundred fifty-seven billion, five hundred fourteen million, fifty-four 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 96 100 120 128 150 160 192 200 240 256 300 320 384 400 480 600 640 768 800 960 1200 1280 1600 1920 2400 3200 3840 4800 6400 9600 19200 742578857 1485157714 2227736571 2970315428 3712894285 4455473142 5940630856 7425788570 8910946284 11138682855 11881261712 14851577140 17821892568 18564471425 22277365710 23762523424 29703154280 35643785136 37128942850 44554731420 47525046848 55693414275 59406308560 71287570272 74257885700 89109462840 95050093696 111386828550 118812617120 142575140544 148515771400 178218925680 190100187392 222773657100 237625234240 285150281088 297031542800 356437851360 445547314200 475250468480 570300562176 594063085600 712875702720 891094628400 950500936960 1188126171200 1425751405440 1782189256800 2376252342400 2851502810880 3564378513600 4752504684800 7128757027200 14257514054400