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14213333031440 = 2451706331041221
BaseRepresentation
bin1100111011010100110010…
…1010101001101000010000
31212022210002121122210222012
43032311030222221220100
53330332401224001230
650121303130202052
72664610433244254
oct316651452515020
955283077583865
1014213333031440
11458a927a56734
121716780583328
137c140863962a
14371d0120a264
15199ac4b5a395
hexced4caa9a10

14213333031440 has 40 divisors (see below), whose sum is σ = 33046224703128. Its totient is φ = 5685294433280.

The previous prime is 14213333031439. The next prime is 14213333031467. The reversal of 14213333031440 is 4413033331241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2601949659136 + 11611383372304 = 1613056^2 + 3407548^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14213333031397 and 14213333031406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13130030 + ... + 14171250.

Almost surely, 214213333031440 is an apocalyptic number.

14213333031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14213333031440 is an abundant number, since it is smaller than the sum of its proper divisors (18832891671688).

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

14213333031440 is a wasteful number, since it uses less digits than its factorization.

14213333031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211867 (or 1211861 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 14213333031440 its reverse (4413033331241), we get a palindrome (18626366362681).

The spelling of 14213333031440 in words is "fourteen trillion, two hundred thirteen billion, three hundred thirty-three million, thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 170633 341266 682532 853165 1041221 1365064 1706330 2082442 2730128 3412660 4164884 5206105 6825320 8329768 10412210 13650640 16659536 20824420 41648840 83297680 177666662893 355333325786 710666651572 888333314465 1421333303144 1776666628930 2842666606288 3553333257860 7106666515720 14213333031440