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45111224000 = 265315593617
BaseRepresentation
bin101010000000110101…
…101010011011000000
311022102212201121201002
4222000311222123000
51214341433132000
632420202031132
73154620035333
oct520065523300
9138385647632
1045111224000
111814a123307
1288ab7a84a8
13433bc8466b
14227d34261a
1512905ad8d5
hexa80d6a6c0

45111224000 has 112 divisors (see below), whose sum is σ = 111820512960. Its totient is φ = 18027929600.

The previous prime is 45111223991. The next prime is 45111224023. The reversal of 45111224000 is 42211154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 12470192 + ... + 12473808.

Almost surely, 245111224000 is an apocalyptic number.

45111224000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45111224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55910256480).

45111224000 is an abundant number, since it is smaller than the sum of its proper divisors (66709288960).

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

45111224000 is a wasteful number, since it uses less digits than its factorization.

45111224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5203 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 45111224000 its reverse (42211154), we get a palindrome (45153435154).

The spelling of 45111224000 in words is "forty-five billion, one hundred eleven million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1559 1600 2000 3118 3617 4000 6236 7234 7795 8000 12472 14468 15590 18085 24944 28936 31180 36170 38975 49888 57872 62360 72340 77950 90425 99776 115744 124720 144680 155900 180850 194875 231488 249440 289360 311800 361700 389750 452125 498880 578720 623600 723400 779500 904250 1157440 1247200 1446800 1559000 1808500 2494400 2893600 3118000 3617000 5638903 5787200 6236000 7234000 11277806 12472000 14468000 22555612 28194515 28936000 45111224 56389030 90222448 112778060 140972575 180444896 225556120 281945150 360889792 451112240 563890300 704862875 902224480 1127780600 1409725750 1804448960 2255561200 2819451500 4511122400 5638903000 9022244800 11277806000 22555612000 45111224000