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2334217211141 = 174112132760881
BaseRepresentation
bin100001111101111010001…
…100000000110100000101
322021011000121111022012112
4201331322030000310011
5301220434101224031
64544154035430405
7330433035632444
oct41757214006405
98234017438175
102334217211141
1181aa32843282
12318478755405
1313c16737b97a
1480d96172d5b
1540ab964462b
hex21f7a300d05

2334217211141 has 16 divisors (see below), whose sum is σ = 2533893325488. Its totient is φ = 2141559398400.

The previous prime is 2334217211101. The next prime is 2334217211153. The reversal of 2334217211141 is 1411127124332.

It can be written as a sum of positive squares in 8 ways, for example, as 584377686916 + 1749839524225 = 764446^2 + 1322815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2334217211141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2334217211098 and 2334217211107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334217211101) 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, 534980 + ... + 2225901.

It is an arithmetic number, because the mean of its divisors is an integer number (158368332843).

Almost surely, 22334217211141 is an apocalyptic number.

It is an amenable number.

2334217211141 is a deficient number, since it is larger than the sum of its proper divisors (199676114347).

2334217211141 is a wasteful number, since it uses less digits than its factorization.

2334217211141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762152.

The product of its digits is 8064, while the sum is 32.

The spelling of 2334217211141 in words is "two trillion, three hundred thirty-four billion, two hundred seventeen million, two hundred eleven thousand, one hundred forty-one".

Divisors: 1 17 41 697 1213 20621 49733 845461 2760881 46934977 113196121 1924334057 3348948653 56932127101 137306894773 2334217211141