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1320074562144 = 2531317139461971
BaseRepresentation
bin10011001101011010100…
…100110100101001100000
311200012100021011212111210
4103031122210310221200
5133112003041442034
62450233415110120
7164241451432542
oct23153244645140
94605307155453
101320074562144
11469927748918
12193a0a372340
139763707a290
1447c6b71d692
15245114bd8e9
hex1335a934a60

1320074562144 has 384 divisors, whose sum is σ = 3992430435840. Its totient is φ = 378320486400.

The previous prime is 1320074562143. The next prime is 1320074562167. The reversal of 1320074562144 is 4412654700231.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320074562143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1359499579 + ... + 1359500549.

It is an arithmetic number, because the mean of its divisors is an integer number (10396954260).

Almost surely, 21320074562144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320074562144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996215217920).

1320074562144 is an abundant number, since it is smaller than the sum of its proper divisors (2672355873696).

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

1320074562144 is a wasteful number, since it uses less digits than its factorization.

1320074562144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 1320074562144 in words is "one trillion, three hundred twenty billion, seventy-four million, five hundred sixty-two thousand, one hundred forty-four".