Search a number
-
+
1144378368 = 21037773
BaseRepresentation
bin100010000110101…
…1101010000000000
32221202100110000000
41010031131100000
54320430101433
6305320000000
740234025040
oct10415352000
92852313000
101144378368
11537a76451
1227b300000
1315311b383
14abdb1720
156a700113
hex4435d400

1144378368 has 352 divisors, whose sum is σ = 3974782720. Its totient is φ = 322486272.

The previous prime is 1144378357. The next prime is 1144378427. The reversal of 1144378368 is 8638734411.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15676380 + ... + 15676452.

Almost surely, 21144378368 is an apocalyptic number.

1144378368 is a gapful number since it is divisible by the number (18) 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 1144378368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987391360).

1144378368 is an abundant number, since it is smaller than the sum of its proper divisors (2830404352).

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

1144378368 is an frugal number, since it uses more digits than its factorization.

1144378368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 85 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1144378368 is about 33828.6619303809. The cubic root of 1144378368 is about 1045.9795971340.

The spelling of 1144378368 in words is "one billion, one hundred forty-four million, three hundred seventy-eight thousand, three hundred sixty-eight".