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109007430440132 = 2271771163197100447
BaseRepresentation
bin11000110010010001000101…
…001010110101010011000100
3112021222000020020210211021102
4120302101011022311103010
5103241434204143041012
61023501153333235232
731650345513462350
oct3062210512652304
9467860206724242
10109007430440132
1131807878735a14
1210286453a92b18
1348a948354a573
141ccbdb86a0460
15c9080048d2c2
hex6324452b54c4

109007430440132 has 192 divisors, whose sum is σ = 236724583366656. Its totient is φ = 42865017108480.

The previous prime is 109007430440123. The next prime is 109007430440137. The reversal of 109007430440132 is 231044034700901.

It is not an unprimeable number, because it can be changed into a prime (109007430440137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1085173133 + ... + 1085273579.

It is an arithmetic number, because the mean of its divisors is an integer number (1232940538368).

Almost surely, 2109007430440132 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 109007430440132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118362291683328).

109007430440132 is an abundant number, since it is smaller than the sum of its proper divisors (127717152926524).

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

109007430440132 is a wasteful number, since it uses less digits than its factorization.

109007430440132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100906 (or 100904 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 109007430440132 in words is "one hundred nine trillion, seven billion, four hundred thirty million, four hundred forty thousand, one hundred thirty-two".