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14002220011300 = 2252172181360953
BaseRepresentation
bin1100101111000010010101…
…0110011000111100100100
31211120121011210021012202021
43023300211112120330210
53313403021310330200
645440310413352524
72643425031213523
oct313604526307444
954517153235667
1014002220011300
114509343182a74
1216a1883198744
137a7532b70bc1
143659d52384ba
1519436ac6e41a
hexcbc25598f24

14002220011300 has 36 divisors (see below), whose sum is σ = 30402473124996. Its totient is φ = 5597633497600.

The previous prime is 14002220011261. The next prime is 14002220011309. The reversal of 14002220011300 is 311002220041.

It can be written as a sum of positive squares in 6 ways, for example, as 18524298816 + 13983695712484 = 136104^2 + 3739478^2 .

It is a super-3 number, since 3×140022200113003 (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (14002220011309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40508377 + ... + 40852576.

It is an arithmetic number, because the mean of its divisors is an integer number (844513142361).

Almost surely, 214002220011300 is an apocalyptic number.

14002220011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14002220011300 is an abundant number, since it is smaller than the sum of its proper divisors (16400253113696).

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

14002220011300 is a wasteful number, since it uses less digits than its factorization.

14002220011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81362688 (or 81362681 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 14002220011300 its reverse (311002220041), we get a palindrome (14313222231341).

The spelling of 14002220011300 in words is "fourteen trillion, two billion, two hundred twenty million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1721 3442 6884 8605 17210 34420 43025 86050 172100 81360953 162721906 325443812 406804765 813609530 1627219060 2034023825 4068047650 8136095300 140022200113 280044400226 560088800452 700111000565 1400222001130 2800444002260 3500555002825 7001110005650 14002220011300