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107530441440 = 2535224021753
BaseRepresentation
bin110010000100101010…
…0000101001011100000
3101021112222111101220020
41210021110011023200
53230210243111230
6121222050313440
710524463446162
oct1441124051340
9337488441806
10107530441440
1141670149224
1218a0b888880
13a1a8998656
1452c1218932
152be53d1810
hex19095052e0

107530441440 has 48 divisors (see below), whose sum is σ = 338720892048. Its totient is φ = 28674784256.

The previous prime is 107530441397. The next prime is 107530441457. The reversal of 107530441440 is 44144035701.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112010397 + ... + 112011356.

It is an arithmetic number, because the mean of its divisors is an integer number (7056685251).

Almost surely, 2107530441440 is an apocalyptic number.

107530441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107530441440 is an abundant number, since it is smaller than the sum of its proper divisors (231190450608).

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

107530441440 is a wasteful number, since it uses less digits than its factorization.

107530441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224021771 (or 224021763 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 107530441440 in words is "one hundred seven billion, five hundred thirty million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 224021753 448043506 672065259 896087012 1120108765 1344130518 1792174024 2240217530 2688261036 3360326295 3584348048 4480435060 5376522072 6720652590 7168696096 8960870120 10753044144 13441305180 17921740240 21506088288 26882610360 35843480480 53765220720 107530441440