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3144311045535 = 3511672161131617
BaseRepresentation
bin101101110000010111100…
…010101111110110011111
3102010121000102221221220110
4231300113202233312133
5403004022111424120
610404250534021103
7443111646622212
oct55602742576637
912117012857813
103144311045535
111002549682170
1242947b4a7793
1319a6795aaaca
14ac284cc5779
1556bcdb7c2e0
hex2dc178afd9f

3144311045535 has 64 divisors (see below), whose sum is σ = 5572786143744. Its totient is φ = 1501054156800.

The previous prime is 3144311045489. The next prime is 3144311045537. The reversal of 3144311045535 is 5355401134413.

3144311045535 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3144311045535 - 229 = 3143774174623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3144311045493 and 3144311045502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144311045537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23824047 + ... + 23955663.

It is an arithmetic number, because the mean of its divisors is an integer number (87074783496).

Almost surely, 23144311045535 is an apocalyptic number.

3144311045535 is a deficient number, since it is larger than the sum of its proper divisors (2428475098209).

3144311045535 is a wasteful number, since it uses less digits than its factorization.

3144311045535 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133864.

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 3144311045535 its reverse (5355401134413), we get a palindrome (8499712179948).

The spelling of 3144311045535 in words is "three trillion, one hundred forty-four billion, three hundred eleven million, forty-five thousand, five hundred thirty-five".

Divisors: 1 3 5 11 15 33 55 67 165 201 335 737 1005 2161 2211 3685 6483 10805 11055 23771 32415 71313 118855 131617 144787 356565 394851 434361 658085 723935 1447787 1592657 1974255 2171805 4343361 4777971 7238935 7963285 8818339 21716805 23889855 26455017 44091695 97001729 132275085 284424337 291005187 485008645 853273011 1422121685 1455025935 3128667707 4266365055 9386003121 15643338535 19056430579 46930015605 57169291737 95282152895 209620736369 285846458685 628862209107 1048103681845 3144311045535