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1420674318720 = 27345233593319
BaseRepresentation
bin10100101011000110110…
…010011100000110000000
312000211000020101000010000
4110223012302130012000
5141234020111144340
63004352045040000
7204432430314516
oct24530662340600
95024006330100
101420674318720
114a8560685a08
121ab404b56000
13a3c79bcb867
144ca922a24b6
1526e4d1c8d30
hex14ac6c9c180

1420674318720 has 640 divisors, whose sum is σ = 5310417024000. Its totient is φ = 361256620032.

The previous prime is 1420674318677. The next prime is 1420674318751. The reversal of 1420674318720 is 278134760241.

1420674318720 is a `hidden beast` number, since 1 + 4 + 206 + 7 + 431 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×14206743187202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 428041221 + ... + 428044539.

It is an arithmetic number, because the mean of its divisors is an integer number (8297526600).

Almost surely, 21420674318720 is an apocalyptic number.

1420674318720 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 1420674318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655208512000).

1420674318720 is an abundant number, since it is smaller than the sum of its proper divisors (3889742705280).

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

1420674318720 is a wasteful number, since it uses less digits than its factorization.

1420674318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3732 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 1420674318720 in words is "one trillion, four hundred twenty billion, six hundred seventy-four million, three hundred eighteen thousand, seven hundred twenty".