Search a number
-
+
1141237944 = 2333711591163
BaseRepresentation
bin100010000000101…
…1110100010111000
32221112102220011000
41010001132202320
54314124103234
6305124405000
740165235220
oct10401364270
92845386130
101141237944
11536220a60
1227a246760
1315258bb32
14ab7d5080
156a2ce899
hex4405e8b8

1141237944 has 256 divisors, whose sum is σ = 4022784000. Its totient is φ = 291150720.

The previous prime is 1141237939. The next prime is 1141237987. The reversal of 1141237944 is 4497321411.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 1141237899 and 1141237908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 980707 + ... + 981869.

It is an arithmetic number, because the mean of its divisors is an integer number (15714000).

Almost surely, 21141237944 is an apocalyptic number.

1141237944 is a gapful number since it is divisible by the number (14) 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 1141237944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011392000).

1141237944 is an abundant number, since it is smaller than the sum of its proper divisors (2881546056).

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

1141237944 is a wasteful number, since it uses less digits than its factorization.

1141237944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1245 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1141237944 is about 33782.2134265948. The cubic root of 1141237944 is about 1045.0219218099.

The spelling of 1141237944 in words is "one billion, one hundred forty-one million, two hundred thirty-seven thousand, nine hundred forty-four".