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139950198000 = 2432537321459
BaseRepresentation
bin1000001001010110101…
…1101000110011110000
3111101020100222200020200
42002111223220303300
54243104222314000
6144143042235200
713053045024654
oct2022553506360
9441210880220
10139950198000
1154397269168
1223159055b00
1310274475a62
146ab8b86a64
153991685500
hex2095ae8cf0

139950198000 has 360 divisors, whose sum is σ = 495926673840. Its totient is φ = 36783590400.

The previous prime is 139950197993. The next prime is 139950198007. The reversal of 139950198000 is 891059931.

139950198000 is a `hidden beast` number, since 139 + 9 + 501 + 9 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (139950197993) and next prime (139950198007).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139950198007) 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 71 ways as a sum of consecutive naturals, for example, 95921271 + ... + 95922729.

It is an arithmetic number, because the mean of its divisors is an integer number (1377574094).

Almost surely, 2139950198000 is an apocalyptic number.

139950198000 is a gapful number since it is divisible by the number (10) 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 139950198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247963336920).

139950198000 is an abundant number, since it is smaller than the sum of its proper divisors (355976475840).

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

139950198000 is a wasteful number, since it uses less digits than its factorization.

139950198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 45.

The spelling of 139950198000 in words is "one hundred thirty-nine billion, nine hundred fifty million, one hundred ninety-eight thousand".