[go: up one dir, main page]

Search a number
-
+
2141400162 = 231125949993
BaseRepresentation
bin111111110100011…
…0010110001100010
312112020102101210010
41333220302301202
513341144301122
6552253345350
7104031413106
oct17750626142
95466371703
102141400162
119a9845700
124b9198256
13281854ab5
14164585906
15c7ee3e0c
hex7fa32c62

2141400162 has 48 divisors (see below), whose sum is σ = 4787425440. Its totient is φ = 637897920.

The previous prime is 2141400161. The next prime is 2141400167. The reversal of 2141400162 is 2610041412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2141400161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17838 + ... + 67830.

It is an arithmetic number, because the mean of its divisors is an integer number (99738030).

Almost surely, 22141400162 is an apocalyptic number.

2141400162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141400162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393712720).

2141400162 is an abundant number, since it is smaller than the sum of its proper divisors (2646025278).

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

2141400162 is a wasteful number, since it uses less digits than its factorization.

2141400162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50079 (or 50068 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2141400162 is about 46275.2651207964. The cubic root of 2141400162 is about 1288.9397297122.

Adding to 2141400162 its reverse (2610041412), we get a palindrome (4751441574).

The spelling of 2141400162 in words is "two billion, one hundred forty-one million, four hundred thousand, one hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 59 66 118 121 177 242 354 363 649 726 1298 1947 3894 7139 14278 21417 42834 49993 99986 149979 299958 549923 1099846 1649769 2949587 3299538 5899174 6049153 8848761 12098306 17697522 18147459 32445457 36294918 64890914 97336371 194672742 356900027 713800054 1070700081 2141400162