Search a number
-
+
43201345440 = 2535118182073
BaseRepresentation
bin101000001111000000…
…000011011110100000
311010111202221201212010
4220033000003132200
51201434021023230
631502454432520
73056366243301
oct501700033640
9133452851763
1043201345440
111735a040280
128458062740
1340c63a25c6
14213b8267a8
1511cca9d9b0
hexa0f0037a0

43201345440 has 96 divisors (see below), whose sum is σ = 148455550656. Its totient is φ = 10473052160.

The previous prime is 43201345433. The next prime is 43201345463. The reversal of 43201345440 is 4454310234.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 43201345398 and 43201345407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4085757 + ... + 4096316.

It is an arithmetic number, because the mean of its divisors is an integer number (1546411986).

Almost surely, 243201345440 is an apocalyptic number.

43201345440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43201345440 is an abundant number, since it is smaller than the sum of its proper divisors (105254205216).

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

43201345440 is a wasteful number, since it uses less digits than its factorization.

43201345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182102 (or 8182094 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 43201345440 its reverse (4454310234), we get a palindrome (47655655674).

The spelling of 43201345440 in words is "forty-three billion, two hundred one million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 8182073 16364146 24546219 32728292 40910365 49092438 65456584 81820730 90002803 98184876 122731095 130913168 163641460 180005606 196369752 245462190 261826336 270008409 327282920 360011212 392739504 450014015 490924380 540016818 654565840 720022424 785479008 900028030 981848760 1080033636 1309131680 1350042045 1440044848 1800056060 1963697520 2160067272 2700084090 2880089696 3600112120 3927395040 4320134544 5400168180 7200224240 8640269088 10800336360 14400448480 21600672720 43201345440