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138934171740 = 223572137974561
BaseRepresentation
bin1000000101100100011…
…1110011100001011100
3111021121120011012020110
42001121013303201130
54234014121443430
6143454145250020
713015626655200
oct2013107634134
9437546135213
10138934171740
1153a15799641
1222b14933910
1310141b170a0
146a1dc66b00
15393238a7b0
hex20591f385c

138934171740 has 288 divisors, whose sum is σ = 488056774464. Its totient is φ = 29270384640.

The previous prime is 138934171669. The next prime is 138934171757. The reversal of 138934171740 is 47171439831.

It is a self number, because there is not a number n which added to its sum of digits gives 138934171740.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 30459060 + ... + 30463620.

It is an arithmetic number, because the mean of its divisors is an integer number (1694641578).

Almost surely, 2138934171740 is an apocalyptic number.

138934171740 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 138934171740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244028387232).

138934171740 is an abundant number, since it is smaller than the sum of its proper divisors (349122602724).

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

138934171740 is a wasteful number, since it uses less digits than its factorization.

138934171740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The spelling of 138934171740 in words is "one hundred thirty-eight billion, nine hundred thirty-four million, one hundred seventy-one thousand, seven hundred forty".