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2141330424 = 233595092971
BaseRepresentation
bin111111110100010…
…0001101111111000
312112020021212010020
41333220201233320
513341140033144
6552252050440
7104031002562
oct17750415770
95466255106
102141330424
119a97a8272
124b9163a20
1328182c12c
14164568332
15c7ecd419
hex7fa21bf8

2141330424 has 64 divisors (see below), whose sum is σ = 5456592000. Its totient is φ = 700064640.

The previous prime is 2141330423. The next prime is 2141330453. The reversal of 2141330424 is 4240331412.

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

It is a junction number, because it is equal to n+sod(n) for n = 2141330394 and 2141330403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141330423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719259 + ... + 722229.

It is an arithmetic number, because the mean of its divisors is an integer number (85259250).

Almost surely, 22141330424 is an apocalyptic number.

2141330424 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 2141330424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728296000).

2141330424 is an abundant number, since it is smaller than the sum of its proper divisors (3315261576).

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

2141330424 is a wasteful number, since it uses less digits than its factorization.

2141330424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2141330424 is about 46274.5116019607. The cubic root of 2141330424 is about 1288.9257374567.

Adding to 2141330424 its reverse (4240331412), we get a palindrome (6381661836).

The spelling of 2141330424 in words is "two billion, one hundred forty-one million, three hundred thirty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 354 472 509 708 1018 1416 1527 2036 2971 3054 4072 5942 6108 8913 11884 12216 17826 23768 30031 35652 60062 71304 90093 120124 175289 180186 240248 350578 360372 525867 701156 720744 1051734 1402312 1512239 2103468 3024478 4206936 4536717 6048956 9073434 12097912 18146868 36293736 89222101 178444202 267666303 356888404 535332606 713776808 1070665212 2141330424