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109440144 = 2432113571
BaseRepresentation
bin1101000010111…
…10110010010000
321121221010122200
412201132302100
5211004041034
614505403200
72466140322
oct641366220
9247833580
10109440144
115685a000
1230799500
131989a5a8
141076b612
15991ba99
hex685ec90

109440144 has 120 divisors (see below), whose sum is σ = 337475424. Its totient is φ = 33105600.

The previous prime is 109440143. The next prime is 109440157. The reversal of 109440144 is 441044901.

It is not an unprimeable number, because it can be changed into a prime (109440143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191379 + ... + 191949.

Almost surely, 2109440144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168737712).

109440144 is an abundant number, since it is smaller than the sum of its proper divisors (228035280).

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

109440144 is a wasteful number, since it uses less digits than its factorization.

109440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 109440144 is about 10461.3643469674. The cubic root of 109440144 is about 478.3277223648.

The spelling of 109440144 in words is "one hundred nine million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 571 726 792 968 1089 1142 1331 1452 1584 1713 1936 2178 2284 2662 2904 3426 3993 4356 4568 5139 5324 5808 6281 6852 7986 8712 9136 10278 10648 11979 12562 13704 15972 17424 18843 20556 21296 23958 25124 27408 31944 37686 41112 47916 50248 56529 63888 69091 75372 82224 95832 100496 113058 138182 150744 191664 207273 226116 276364 301488 414546 452232 552728 621819 760001 829092 904464 1105456 1243638 1520002 1658184 2280003 2487276 3040004 3316368 4560006 4974552 6080008 6840009 9120012 9949104 12160016 13680018 18240024 27360036 36480048 54720072 109440144