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101444334032 = 2431743275269
BaseRepresentation
bin101111001111010001…
…1011011000111010000
3100200211211102010001202
41132132203123013100
53130224222142112
6114334120050332
710220612416616
oct1363643330720
9320754363052
10101444334032
113a027755698
12177b16039a8
139748b11672
144ca4bd36b6
15298ae3a6c2
hex179e8db1d0

101444334032 has 40 divisors (see below), whose sum is σ = 203162472960. Its totient is φ = 49019725440.

The previous prime is 101444333983. The next prime is 101444334053. The reversal of 101444334032 is 230433444101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101444333986 and 101444334004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230894 + ... + 506162.

It is an arithmetic number, because the mean of its divisors is an integer number (5079061824).

Almost surely, 2101444334032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101444334032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101581236480).

101444334032 is an abundant number, since it is smaller than the sum of its proper divisors (101718138928).

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

101444334032 is a wasteful number, since it uses less digits than its factorization.

101444334032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276051 (or 276045 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 101444334032 its reverse (230433444101), we get a palindrome (331877778133).

The spelling of 101444334032 in words is "one hundred one billion, four hundred forty-four million, three hundred thirty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 31 62 124 248 496 743 1486 2972 5944 11888 23033 46066 92132 184264 275269 368528 550538 1101076 2202152 4404304 8533339 17066678 34133356 68266712 136533424 204524867 409049734 818099468 1636198936 3272397872 6340270877 12680541754 25361083508 50722167016 101444334032