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2141113424 = 242323324971
BaseRepresentation
bin111111110011110…
…1100110001010000
312112012212211110012
41333213230301100
513341111112144
6552243254052
7104026110122
oct17747546120
95465784405
102141113424
119a966a22a
124b907a328
13281784428
1416450d212
15c7e88e9e
hex7f9ecc50

2141113424 has 40 divisors (see below), whose sum is σ = 4347525312. Its totient is φ = 1019575040.

The previous prime is 2141113421. The next prime is 2141113441. The reversal of 2141113424 is 4243111412.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 2141113424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141113421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73259 + ... + 98229.

Almost surely, 22141113424 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 2141113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173762656).

2141113424 is an abundant number, since it is smaller than the sum of its proper divisors (2206411888).

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

2141113424 is a wasteful number, since it uses less digits than its factorization.

2141113424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25235 (or 25229 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 2141113424 is about 46272.1668392566. The cubic root of 2141113424 is about 1288.8821965610.

Adding to 2141113424 its reverse (4243111412), we get a palindrome (6384224836).

The spelling of 2141113424 in words is "two billion, one hundred forty-one million, one hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 233 368 466 932 1864 3728 5359 10718 21436 24971 42872 49942 85744 99884 199768 399536 574333 1148666 2297332 4594664 5818243 9189328 11636486 23272972 46545944 93091888 133819589 267639178 535278356 1070556712 2141113424