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22314045504141 = 342495311040037
BaseRepresentation
bin1010001001011011001001…
…10000010111101010001101
32221000012110012022220220000
411010231210300113222031
510411043131122113031
6115242533032114513
74462064564202066
oct504554460275215
987005405286800
1022314045504141
117123373a63286
122604740835a39
13c5b2895287b1
145720113ad56d
1528a68d6433e6
hex144b64c17a8d

22314045504141 has 20 divisors (see below), whose sum is σ = 33334666098492. Its totient is φ = 14875432826688.

The previous prime is 22314045504131. The next prime is 22314045504143. The reversal of 22314045504141 is 14140554041322.

22314045504141 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 4 + 0 + 4 + 5 + 504 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9433626959241 + 12880418544900 = 3071421^2 + 3588930^2 .

It is not a de Polignac number, because 22314045504141 - 211 = 22314045502093 is a prime.

It is a super-3 number, since 3×223140455041413 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22314045504096 and 22314045504105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22314045504143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3498826 + ... + 7541211.

Almost surely, 222314045504141 is an apocalyptic number.

It is an amenable number.

22314045504141 is a deficient number, since it is larger than the sum of its proper divisors (11020620594351).

22314045504141 is a wasteful number, since it uses less digits than its factorization.

22314045504141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11065002 (or 11064993 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 22314045504141 its reverse (14140554041322), we get a palindrome (36454599545463).

The spelling of 22314045504141 in words is "twenty-two trillion, three hundred fourteen billion, forty-five million, five hundred four thousand, one hundred forty-one".

Divisors: 1 3 9 27 81 24953 74859 224577 673731 2021193 11040037 33120111 99360333 298080999 894242997 275482043261 826446129783 2479338389349 7438015168047 22314045504141