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2441214320 = 245127241997
BaseRepresentation
bin1001000110000001…
…1111100101110000
320022010120112111012
42101200133211300
514444422324240
61042123410052
7114331656626
oct22140374560
96263515435
102441214320
1110430024a6
12581683928
132cb9b911c
1419230b516
15e44b7b65
hex9181f970

2441214320 has 80 divisors (see below), whose sum is σ = 5750012928. Its totient is φ = 963809280.

The previous prime is 2441214311. The next prime is 2441214329. The reversal of 2441214320 is 234121442.

It is an interprime number because it is at equal distance from previous prime (2441214311) and next prime (2441214329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441214329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2448062 + ... + 2449058.

Almost surely, 22441214320 is an apocalyptic number.

2441214320 is a gapful number since it is divisible by the number (20) 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 2441214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875006464).

2441214320 is an abundant number, since it is smaller than the sum of its proper divisors (3308798608).

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

2441214320 is a wasteful number, since it uses less digits than its factorization.

2441214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2441214320 is about 49408.6462069140. The cubic root of 2441214320 is about 1346.4863949564.

Adding to 2441214320 its reverse (234121442), we get a palindrome (2675335762).

The spelling of 2441214320 in words is "two billion, four hundred forty-one million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 241 254 482 508 635 964 997 1016 1205 1270 1928 1994 2032 2410 2540 3856 3988 4820 4985 5080 7976 9640 9970 10160 15952 19280 19940 30607 39880 61214 79760 122428 126619 153035 240277 244856 253238 306070 480554 489712 506476 612140 633095 961108 1012952 1201385 1224280 1266190 1922216 2025904 2402770 2448560 2532380 3844432 4805540 5064760 9611080 10129520 19222160 30515179 61030358 122060716 152575895 244121432 305151790 488242864 610303580 1220607160 2441214320