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14441243141100 = 2235259815889443
BaseRepresentation
bin1101001000100101110100…
…1010101110001111101100
31220010120101001201222020210
43102021131022232033230
53343101131221003400
650414114314542420
73020226316230336
oct322113512561754
956116331658223
1014441243141100
1146685512a8366
121752987137a10
13809a5a062499
1437cd61d5c456
151a09b34db950
hexd225d2ae3ec

14441243141100 has 72 divisors (see below), whose sum is σ = 42491522243520. Its totient is φ = 3785727010880.

The previous prime is 14441243141071. The next prime is 14441243141107. The reversal of 14441243141100 is 114134214441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14441243141107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407927022 + ... + 407962421.

It is an arithmetic number, because the mean of its divisors is an integer number (590160031160).

Almost surely, 214441243141100 is an apocalyptic number.

14441243141100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14441243141100 is an abundant number, since it is smaller than the sum of its proper divisors (28050279102420).

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

14441243141100 is a wasteful number, since it uses less digits than its factorization.

14441243141100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815889519 (or 815889512 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 14441243141100 its reverse (114134214441), we get a palindrome (14555377355541).

The spelling of 14441243141100 in words is "fourteen trillion, four hundred forty-one billion, two hundred forty-three million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 590 708 885 1180 1475 1770 2950 3540 4425 5900 8850 17700 815889443 1631778886 2447668329 3263557772 4079447215 4895336658 8158894430 9790673316 12238341645 16317788860 20397236075 24476683290 40794472150 48137477137 48953366580 61191708225 81588944300 96274954274 122383416450 144412431411 192549908548 240687385685 244766832900 288824862822 481374771370 577649725644 722062157055 962749542740 1203436928425 1444124314110 2406873856850 2888248628220 3610310785275 4813747713700 7220621570550 14441243141100