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14045120000 = 295443891
BaseRepresentation
bin11010001010010011…
…11000011000000000
31100020211101000120122
431011021320120000
5212231022320000
610241403355412
71005023356502
oct150511703000
940224330518
1014045120000
115a5811659a
12287b822b68
13142aa78cc2
1497349dd72
15573097085
hex345278600

14045120000 has 100 divisors (see below), whose sum is σ = 35068083996. Its totient is φ = 5617920000.

The previous prime is 14045119987. The next prime is 14045120003. The reversal of 14045120000 is 2154041.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14045120003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 298055 + ... + 341945.

Almost surely, 214045120000 is an apocalyptic number.

14045120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14045120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17534041998).

14045120000 is an abundant number, since it is smaller than the sum of its proper divisors (21022963996).

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

14045120000 is an frugal number, since it uses more digits than its factorization.

14045120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43929 (or 43898 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 14045120000 its reverse (2154041), we get a palindrome (14047274041).

The spelling of 14045120000 in words is "fourteen billion, forty-five million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 43891 64000 80000 87782 160000 175564 219455 320000 351128 438910 702256 877820 1097275 1404512 1755640 2194550 2809024 3511280 4389100 5486375 5618048 7022560 8778200 10972750 11236096 14045120 17556400 21945500 22472192 27431875 28090240 35112800 43891000 54863750 56180480 70225600 87782000 109727500 112360960 140451200 175564000 219455000 280902400 351128000 438910000 561804800 702256000 877820000 1404512000 1755640000 2809024000 3511280000 7022560000 14045120000