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3013214400000 = 2932557167179
BaseRepresentation
bin101011110110010001100…
…100101110111000000000
3101200001122002111100102100
4223312101210232320000
5343332030341300000
610224130201550400
7430461155542440
oct53662144567000
911601562440370
103013214400000
11a61995a7a012
12407b934a5400
1318b1b645b3bc
14a5ba9d12120
15535a98e6a00
hex2bd9192ee00

3013214400000 has 1440 divisors, whose sum is σ = 12566750676480. Its totient is φ = 680785920000.

The previous prime is 3013214399989. The next prime is 3013214400019. The reversal of 3013214400000 is 44123103.

3013214400000 is a `hidden beast` number, since 301 + 321 + 4 + 40 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×30132144000002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16833599911 + ... + 16833600089.

It is an arithmetic number, because the mean of its divisors is an integer number (8726910192).

Almost surely, 23013214400000 is an apocalyptic number.

3013214400000 is a gapful number since it is divisible by the number (30) 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 3013214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283375338240).

3013214400000 is an abundant number, since it is smaller than the sum of its proper divisors (9553536276480).

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

3013214400000 is an equidigital number, since it uses as much as digits as its factorization.

3013214400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3013214400000 its reverse (44123103), we get a palindrome (3013258523103).

The spelling of 3013214400000 in words is "three trillion, thirteen billion, two hundred fourteen million, four hundred thousand".