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139103791344 = 243371923105263
BaseRepresentation
bin1000000110001100111…
…0110110100011110000
3111022001101022202121000
42001203032312203300
54234341032310334
6143523045002000
713023056501040
oct2014316664360
9438041282530
10139103791344
1153aa2511331
1222b616b3300
131016acc520b
146a385bb720
1539421e3299
hex20633b68f0

139103791344 has 320 divisors, whose sum is σ = 501225062400. Its totient is φ = 36014761728.

The previous prime is 139103791273. The next prime is 139103791349. The reversal of 139103791344 is 443197301931.

139103791344 is a `hidden beast` number, since 139 + 10 + 379 + 134 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 139103791344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139103791349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268857 + ... + 1374119.

It is an arithmetic number, because the mean of its divisors is an integer number (1566328320).

Almost surely, 2139103791344 is an apocalyptic number.

139103791344 is a gapful number since it is divisible by the number (14) 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 139103791344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250612531200).

139103791344 is an abundant number, since it is smaller than the sum of its proper divisors (362121271056).

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

139103791344 is a wasteful number, since it uses less digits than its factorization.

139103791344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105329 (or 105317 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 139103791344 in words is "one hundred thirty-nine billion, one hundred three million, seven hundred ninety-one thousand, three hundred forty-four".