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10040172443232 = 253488832139499
BaseRepresentation
bin1001001000011010100011…
…1010010111011001100000
31022112211102212202210222020
42102012220322113121200
52303444233121140412
633204220323541440
72054243555441121
oct222065072273140
938484385683866
1010040172443232
113221016663228
121161a2952a880
1357aa26b671a9
14269d38588048
1512627bb3e18c
hex921a8e97660

10040172443232 has 48 divisors (see below), whose sum is σ = 26356004136000. Its totient is φ = 3346654119552.

The previous prime is 10040172443227. The next prime is 10040172443239. The reversal of 10040172443232 is 23234427104001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10040172443193 and 10040172443202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040172443239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3623019 + ... + 5762517.

It is an arithmetic number, because the mean of its divisors is an integer number (549083419500).

Almost surely, 210040172443232 is an apocalyptic number.

10040172443232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10040172443232 is an abundant number, since it is smaller than the sum of its proper divisors (16315831692768).

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

10040172443232 is a wasteful number, since it uses less digits than its factorization.

10040172443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188395 (or 2188387 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

Adding to 10040172443232 its reverse (23234427104001), we get a palindrome (33274599547233).

The spelling of 10040172443232 in words is "ten trillion, forty billion, one hundred seventy-two million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 48883 97766 146649 195532 293298 391064 586596 782128 1173192 1564256 2139499 2346384 4278998 4692768 6418497 8557996 12836994 17115992 25673988 34231984 51347976 68463968 102695952 205391904 104585129617 209170259234 313755388851 418340518468 627510777702 836681036936 1255021555404 1673362073872 2510043110808 3346724147744 5020086221616 10040172443232