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4415224225144 = 231967811534581
BaseRepresentation
bin100000000111111111111…
…0111110001110101111000
3120122002110120022211200111
41000033333313301311320
51034314334400201034
613220154230114104
7633663241455145
oct100177767616570
916562416284614
104415224225144
111452538a74717
125b38497ab934
1326047a56c705
141139ab4133cc
1579cb420a364
hex403ffdf1d78

4415224225144 has 64 divisors (see below), whose sum is σ = 8855243913600. Its totient is φ = 2057662569600.

The previous prime is 4415224225127. The next prime is 4415224225151.

4415224225144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4415224225097 and 4415224225106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7991934 + ... + 8526514.

It is an arithmetic number, because the mean of its divisors is an integer number (138363186150).

Almost surely, 24415224225144 is an apocalyptic number.

It is an amenable number.

4415224225144 is an abundant number, since it is smaller than the sum of its proper divisors (4440019688456).

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

4415224225144 is a wasteful number, since it uses less digits than its factorization.

4415224225144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535484 (or 535480 counting only the distinct ones).

The product of its digits is 409600, while the sum is 40.

The spelling of 4415224225144 in words is "four trillion, four hundred fifteen billion, two hundred twenty-four million, two hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 19 38 67 76 134 152 268 536 811 1273 1622 2546 3244 5092 6488 10184 15409 30818 54337 61636 108674 123272 217348 434696 534581 1032403 1069162 2064806 2138324 4129612 4276648 8259224 10157039 20314078 35816927 40628156 71633854 81256312 143267708 286535416 433545191 680521613 867090382 1361043226 1734180764 2722086452 3468361528 5444172904 8237358629 16474717258 29047527797 32949434516 58095055594 65898869032 116190111188 232380222376 551903028143 1103806056286 2207612112572 4415224225144