Search a number
-
+
1396468959120 = 243853597411
BaseRepresentation
bin10100010100100100000…
…010010100011110010000
311221111112022201100000000
4110110210002110132100
5140334432023142440
62545310132130000
7202614542205144
oct24244402243620
94844468640000
101396468959120
1149926a359a94
121a678a766900
13a18c01bc881
144b83768b224
15264d3170730
hex14524094790

1396468959120 has 360 divisors, whose sum is σ = 4884162304320. Its totient is φ = 371304311040.

The previous prime is 1396468959103. The next prime is 1396468959121. The reversal of 1396468959120 is 219598646931.

1396468959120 is a `hidden beast` number, since 1 + 39 + 6 + 4 + 6 + 8 + 9 + 591 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (1396468959121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 188428215 + ... + 188435625.

It is an arithmetic number, because the mean of its divisors is an integer number (13567117512).

Almost surely, 21396468959120 is an apocalyptic number.

1396468959120 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 1396468959120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2442081152160).

1396468959120 is an abundant number, since it is smaller than the sum of its proper divisors (3487693345200).

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

1396468959120 is an frugal number, since it uses more digits than its factorization.

1396468959120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7807 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 1396468959120 in words is "one trillion, three hundred ninety-six billion, four hundred sixty-eight million, nine hundred fifty-nine thousand, one hundred twenty".