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4415242425144 = 2331144716071323
BaseRepresentation
bin100000001000000000011…
…1101001101001100111000
3120122002111211120111101120
41000100000331031030320
51034314404030101034
613220200120145240
7633663552246315
oct100200075151470
916562454514346
104415242425144
111452548275641
125b3853908220
13260481272745
141139ad9cdd0c
1579cb5b02c49
hex40400f4d338

4415242425144 has 32 divisors (see below), whose sum is σ = 11039071029120. Its totient is φ = 1471618812896.

The previous prime is 4415242425133. The next prime is 4415242425197.

4415242425144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4415242425096 and 4415242425105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7760934 + ... + 8310389.

It is an arithmetic number, because the mean of its divisors is an integer number (344970969660).

Almost surely, 24415242425144 is an apocalyptic number.

It is an amenable number.

4415242425144 is an abundant number, since it is smaller than the sum of its proper divisors (6623828603976).

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

4415242425144 is a wasteful number, since it uses less digits than its factorization.

4415242425144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16082779 (or 16082775 counting only the distinct ones).

The product of its digits is 819200, while the sum is 42.

The spelling of 4415242425144 in words is "four trillion, four hundred fifteen billion, two hundred forty-two million, four hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 11447 22894 34341 45788 68682 91576 137364 274728 16071323 32142646 48213969 64285292 96427938 128570584 192855876 385711752 183968434381 367936868762 551905303143 735873737524 1103810606286 1471747475048 2207621212572 4415242425144