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138984471000 = 23335343592029
BaseRepresentation
bin1000000101110000011…
…1101011100111011000
3111021202001210122212000
42001130013223213120
54234120011033000
6143503143321000
713020110340234
oct2013407534730
9437661718760
10138984471000
1153a41124181
1222b29750160
131014c37876b
146a267db5c4
1539369c4000
hex205c1eb9d8

138984471000 has 512 divisors, whose sum is σ = 501621120000. Its totient is φ = 35569497600.

The previous prime is 138984470987. The next prime is 138984471007. The reversal of 138984471000 is 174489831.

It is a happy number.

138984471000 is a `hidden beast` number, since 13 + 8 + 98 + 447 + 100 + 0 = 666.

138984471000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1389844710003 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138984471007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68497986 + ... + 68500014.

It is an arithmetic number, because the mean of its divisors is an integer number (979728750).

Almost surely, 2138984471000 is an apocalyptic number.

138984471000 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 138984471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250810560000).

138984471000 is an abundant number, since it is smaller than the sum of its proper divisors (362636649000).

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

138984471000 is a wasteful number, since it uses less digits than its factorization.

138984471000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 138984471000 in words is "one hundred thirty-eight billion, nine hundred eighty-four million, four hundred seventy-one thousand".