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2141213424 = 24376372659
BaseRepresentation
bin111111110100000…
…0101001011110000
312112020001220121220
41333220011023300
513341122312144
6552245345040
7104030004510
oct17750051360
95466056556
102141213424
119a9728379
124b9108180
132817baabc
14164537840
15c7ea8919
hex7fa052f0

2141213424 has 40 divisors (see below), whose sum is σ = 6321678720. Its totient is φ = 611775168.

The previous prime is 2141213419. The next prime is 2141213429. The reversal of 2141213424 is 4243121412.

It is an interprime number because it is at equal distance from previous prime (2141213419) and next prime (2141213429).

It is a super-3 number, since 3×21412134243 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 2141213394 and 2141213403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141213429) 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, 3185994 + ... + 3186665.

It is an arithmetic number, because the mean of its divisors is an integer number (158041968).

Almost surely, 22141213424 is an apocalyptic number.

2141213424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141213424 is an abundant number, since it is smaller than the sum of its proper divisors (4180465296).

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

2141213424 is a wasteful number, since it uses less digits than its factorization.

2141213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372677 (or 6372671 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2141213424 is about 46273.2473898256. The cubic root of 2141213424 is about 1288.9022618553.

Adding to 2141213424 its reverse (4243121412), we get a palindrome (6384334836).

The spelling of 2141213424 in words is "two billion, one hundred forty-one million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6372659 12745318 19117977 25490636 38235954 44608613 50981272 76471908 89217226 101962544 133825839 152943816 178434452 267651678 305887632 356868904 535303356 713737808 1070606712 2141213424