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4004415141045 = 3511227106912699
BaseRepresentation
bin111010010001011001101…
…111011111010010110101
3112011211002120120002211120
4322101121233133102311
51011102020234003140
612303334121454153
7562211066042334
oct72213157372265
915154076502746
104004415141045
111304298a52470
125480ba641359
132307cb730327
14dbb59879d1b
156e26d8d51d0
hex3a459bdf4b5

4004415141045 has 32 divisors (see below), whose sum is σ = 7020315532800. Its totient is φ = 1932981579840.

The previous prime is 4004415141043. The next prime is 4004415141053. The reversal of 4004415141045 is 5401415144004.

It is a happy number.

It is not a de Polignac number, because 4004415141045 - 21 = 4004415141043 is a prime.

It is a super-3 number, since 3×40044151410453 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4004415140997 and 4004415141015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004415141043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53418895 + ... + 53493804.

It is an arithmetic number, because the mean of its divisors is an integer number (219384860400).

Almost surely, 24004415141045 is an apocalyptic number.

It is an amenable number.

4004415141045 is a deficient number, since it is larger than the sum of its proper divisors (3015900391755).

4004415141045 is a wasteful number, since it uses less digits than its factorization.

4004415141045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106912945.

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 4004415141045 in words is "four trillion, four billion, four hundred fifteen million, one hundred forty-one thousand, forty-five".

Divisors: 1 3 5 11 15 33 55 165 227 681 1135 2497 3405 7491 12485 37455 106912699 320738097 534563495 1176039689 1603690485 3528119067 5880198445 17640595335 24269182673 72807548019 121345913365 266961009403 364037740095 800883028209 1334805047015 4004415141045