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4445618141800 = 2352112199668591
BaseRepresentation
bin100000010110001001101…
…1111010111101001101000
3120201222220202211210010101
41000230103133113221220
51040314111221014200
613242142213155144
7636120363501103
oct100542337275150
916658822753111
104445618141800
1114644155a9100
125b971062bab4
132632b2426194
14115251cbb73a
157a9926e526a
hex40b137d7a68

4445618141800 has 144 divisors (see below), whose sum is σ = 11959081444800. Its totient is φ = 1531504656000.

The previous prime is 4445618141749. The next prime is 4445618141821. The reversal of 4445618141800 is 81418165444.

It is a super-3 number, since 3×44456181418003 (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4374496 + ... + 5294095.

It is an arithmetic number, because the mean of its divisors is an integer number (83049176700).

Almost surely, 24445618141800 is an apocalyptic number.

4445618141800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4445618141800 is an abundant number, since it is smaller than the sum of its proper divisors (7513463303000).

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

4445618141800 is a wasteful number, since it uses less digits than its factorization.

4445618141800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668648 (or 9668628 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 4445618141800 in words is "four trillion, four hundred forty-five billion, six hundred eighteen million, one hundred forty-one thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 121 152 190 200 209 220 242 275 380 418 440 475 484 550 605 760 836 950 968 1045 1100 1210 1672 1900 2090 2200 2299 2420 3025 3800 4180 4598 4840 5225 6050 8360 9196 10450 11495 12100 18392 20900 22990 24200 41800 45980 57475 91960 114950 229900 459800 9668591 19337182 38674364 48342955 77348728 96685910 106354501 183703229 193371820 212709002 241714775 367406458 386743640 425418004 483429550 531772505 734812916 850836008 918516145 966859100 1063545010 1169899511 1469625832 1837032290 1933718200 2020735519 2127090020 2339799022 2658862525 3674064580 4041471038 4254180040 4592580725 4679598044 5317725050 5849497555 7348129160 8082942076 9185161450 9359196088 10103677595 10635450100 11698995110 16165884152 18370322900 20207355190 21270900200 22228090709 23397990220 29247487775 36740645800 40414710380 44456181418 46795980440 50518387975 58494975550 80829420760 88912362836 101036775950 111140453545 116989951100 177824725672 202073551900 222280907090 233979902200 404147103800 444561814180 555702267725 889123628360 1111404535450 2222809070900 4445618141800