Search a number
-
+
1145455213344 = 2531317891793389
BaseRepresentation
bin10000101010110010011…
…100110111101100100000
311001111121202001212002220
4100222302130313230200
5122231343013311334
62234114224311040
7145520306444301
oct20526234675440
94044552055086
101145455213344
1140186a673612
12165bb6772480
13840290c0010
143d6243907a8
151ebe135c449
hex10ab2737b20

1145455213344 has 384 divisors, whose sum is σ = 3487512672000. Its totient is φ = 326059819008.

The previous prime is 1145455213339. The next prime is 1145455213387. The reversal of 1145455213344 is 4433125545411.

It is a junction number, because it is equal to n+sod(n) for n = 1145455213296 and 1145455213305.

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 63 ways as a sum of consecutive naturals, for example, 337990402 + ... + 337993790.

It is an arithmetic number, because the mean of its divisors is an integer number (9082064250).

Almost surely, 21145455213344 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 1145455213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743756336000).

1145455213344 is an abundant number, since it is smaller than the sum of its proper divisors (2342057458656).

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

1145455213344 is a wasteful number, since it uses less digits than its factorization.

1145455213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3692 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

The spelling of 1145455213344 in words is "one trillion, one hundred forty-five billion, four hundred fifty-five million, two hundred thirteen thousand, three hundred forty-four".