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138134407050 = 23552191633671
BaseRepresentation
bin1000000010100101110…
…0111100011110001010
3111012112211020221100000
42000221130330132022
54230344402011200
6143242535423430
712660046041543
oct2005134743612
9435484227300
10138134407050
11536452a9592
1222930b24b76
1310045217343
14698595d4ca
1538d705d300
hex202973c78a

138134407050 has 288 divisors, whose sum is σ = 407718904320. Its totient is φ = 34673572800.

The previous prime is 138134407007. The next prime is 138134407057. The reversal of 138134407050 is 50704431831.

It is a happy number.

138134407050 is a `hidden beast` number, since 138 + 13 + 440 + 70 + 5 + 0 = 666.

It is a super-2 number, since 2×1381344070502 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138134406996 and 138134407014.

It is not an unprimeable number, because it can be changed into a prime (138134407057) 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 143 ways as a sum of consecutive naturals, for example, 37626715 + ... + 37630385.

It is an arithmetic number, because the mean of its divisors is an integer number (1415690640).

Almost surely, 2138134407050 is an apocalyptic number.

138134407050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138134407050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203859452160).

138134407050 is an abundant number, since it is smaller than the sum of its proper divisors (269584497270).

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

138134407050 is a wasteful number, since it uses less digits than its factorization.

138134407050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 138134407050 its reverse (50704431831), we get a palindrome (188838838881).

The spelling of 138134407050 in words is "one hundred thirty-eight billion, one hundred thirty-four million, four hundred seven thousand, fifty".