Search a number
-
+
1402663966320 = 24351923314379127
BaseRepresentation
bin10100011010010101010…
…010011001011001110000
311222002112001201022021010
4110122111102121121300
5140440123433410240
62552212552430520
7203224214664501
oct24322522313160
94862461638233
101402663966320
114a0959272651
121a7a193a8440
13a23697b51c6
144bc6433cba8
1526746e78280
hex14695499670

1402663966320 has 1280 divisors, whose sum is σ = 5148927590400. Its totient is φ = 313841848320.

The previous prime is 1402663966237. The next prime is 1402663966321. The reversal of 1402663966320 is 236693662041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1402663966320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402663966321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11044598097 + ... + 11044598223.

It is an arithmetic number, because the mean of its divisors is an integer number (4022599680).

Almost surely, 21402663966320 is an apocalyptic number.

1402663966320 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 1402663966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574463795200).

1402663966320 is an abundant number, since it is smaller than the sum of its proper divisors (3746263624080).

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

1402663966320 is a wasteful number, since it uses less digits than its factorization.

1402663966320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 1402663966320 in words is "one trillion, four hundred two billion, six hundred sixty-three million, nine hundred sixty-six thousand, three hundred twenty".