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139738011840 = 2634572110023
BaseRepresentation
bin1000001000100100001…
…0001101100011000000
3111100200120201111120000
42002021002031203000
54242140412334330
6144110022320000
713044560334300
oct2021102154300
9440616644500
10139738011840
11542985125a9
12230b9b89000
131023c512b0b
146a98911600
15397cc20560
hex208908d8c0

139738011840 has 420 divisors, whose sum is σ = 578232672336. Its totient is φ = 31939826688.

The previous prime is 139738011827. The next prime is 139738011887. The reversal of 139738011840 is 48110837931.

139738011840 is a `hidden beast` number, since 1 + 3 + 97 + 380 + 1 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-3 number, since 3×1397380118403 (a number of 34 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1215069 + ... + 1325091.

Almost surely, 2139738011840 is an apocalyptic number.

139738011840 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 139738011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289116336168).

139738011840 is an abundant number, since it is smaller than the sum of its proper divisors (438494660496).

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

139738011840 is a wasteful number, since it uses less digits than its factorization.

139738011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110066 (or 110040 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 139738011840 in words is "one hundred thirty-nine billion, seven hundred thirty-eight million, eleven thousand, eight hundred forty".