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10044314322141 = 311335653906809
BaseRepresentation
bin1001001000101001111111…
…0010011000010011011101
31022120020010112110001200210
42102022133302120103131
52304031223431302031
633210143322443033
72054451321021621
oct222123762302335
938506115401623
1010044314322141
113222851642150
1211627a4663479
1357b236ca3208
1426a20c6b1181
1512642058c746
hex9229fc984dd

10044314322141 has 16 divisors (see below), whose sum is σ = 14609971379520. Its totient is φ = 6087438376320.

The previous prime is 10044314322067. The next prime is 10044314322209. The reversal of 10044314322141 is 14122341344001.

It is a happy number.

10044314322141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10044314322141 - 210 = 10044314321117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10044314322099 and 10044314322108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044314322041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10623145 + ... + 11529953.

It is an arithmetic number, because the mean of its divisors is an integer number (913123211220).

Almost surely, 210044314322141 is an apocalyptic number.

10044314322141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10044314322141 is a deficient number, since it is larger than the sum of its proper divisors (4565657057379).

10044314322141 is a wasteful number, since it uses less digits than its factorization.

10044314322141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242476.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10044314322141 its reverse (14122341344001), we get a palindrome (24166655666142).

The spelling of 10044314322141 in words is "ten trillion, forty-four billion, three hundred fourteen million, three hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 11 33 335653 906809 1006959 2720427 3692183 9974899 11076549 29924697 304373161277 913119483831 3348104774047 10044314322141