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2414421240 = 2335711261301
BaseRepresentation
bin1000111111101001…
…0010010011111000
320020021011022021220
42033322102103320
514421042434430
61035325232040
7113555145660
oct21772222370
96207138256
102414421240
111029972460
12574702620
132c6297a2a
1418c9351a0
15e1e74110
hex8fe924f8

2414421240 has 128 divisors (see below), whose sum is σ = 9030597120. Its totient is φ = 501696000.

The previous prime is 2414421239. The next prime is 2414421241. The reversal of 2414421240 is 421244142.

It is an interprime number because it is at equal distance from previous prime (2414421239) and next prime (2414421241).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2414421240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414421241) 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 31 ways as a sum of consecutive naturals, for example, 121411 + ... + 139890.

It is an arithmetic number, because the mean of its divisors is an integer number (70551540).

Almost surely, 22414421240 is an apocalyptic number.

2414421240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414421240 is an abundant number, since it is smaller than the sum of its proper divisors (6616175880).

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

2414421240 is a wasteful number, since it uses less digits than its factorization.

2414421240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261333 (or 261329 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2414421240 is about 49136.7605769855. The cubic root of 2414421240 is about 1341.5422282043.

Adding to 2414421240 its reverse (421244142), we get a palindrome (2835665382).

The spelling of 2414421240 in words is "two billion, four hundred fourteen million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 261301 522602 783903 1045204 1306505 1567806 1829107 2090408 2613010 2874311 3135612 3658214 3919515 5226020 5487321 5748622 6271224 7316428 7839030 8622933 9145535 10452040 10974642 11497244 14371555 14632856 15678060 17245866 18291070 20120177 21949284 22994488 27436605 28743110 31356120 34491732 36582140 40240354 43114665 43898568 54873210 57486220 60360531 68983464 73164280 80480708 86229330 100600885 109746420 114972440 120721062 160961416 172458660 201201770 219492840 241442124 301802655 344917320 402403540 482884248 603605310 804807080 1207210620 2414421240