Search a number
-
+
2141239464 = 23327132231093
BaseRepresentation
bin111111110100000…
…1011100010101000
312112020010020100100
41333220023202220
513341124130324
6552250105400
7104030143440
oct17750134250
95466106310
102141239464
119a97459a1
124b911b260
132817c9900
14164543120
15c7eb14c9
hex7fa0b8a8

2141239464 has 288 divisors, whose sum is σ = 7495562880. Its totient is φ = 539675136.

The previous prime is 2141239459. The next prime is 2141239531. The reversal of 2141239464 is 4649321412.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1958502 + ... + 1959594.

It is an arithmetic number, because the mean of its divisors is an integer number (26026260).

Almost surely, 22141239464 is an apocalyptic number.

2141239464 is a gapful number since it is divisible by the number (24) 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 2141239464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3747781440).

2141239464 is an abundant number, since it is smaller than the sum of its proper divisors (5354323416).

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

2141239464 is a wasteful number, since it uses less digits than its factorization.

2141239464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1141 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2141239464 is about 46273.5287610530. The cubic root of 2141239464 is about 1288.9074867555.

The spelling of 2141239464 in words is "two billion, one hundred forty-one million, two hundred thirty-nine thousand, four hundred sixty-four".