Search a number
-
+
1311004423104 = 26314759462643
BaseRepresentation
bin10011000100111101111…
…100111111001111000000
311122022221011010001211020
4103010331330333033000
5132434414113014404
62442133410345440
7163500624505515
oct23047574771700
94568834101736
101311004423104
11465aa2901142
121920b888b280
139681cc100bc
144764ac8b30c
1524180089ed9
hex1313df3f3c0

1311004423104 has 56 divisors (see below), whose sum is σ = 3468941723520. Its totient is φ = 436970920704.

The previous prime is 1311004423103. The next prime is 1311004423121. The reversal of 1311004423104 is 4013244001131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311004423103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2602407 + ... + 3065049.

It is an arithmetic number, because the mean of its divisors is an integer number (61945387920).

Almost surely, 21311004423104 is an apocalyptic number.

It is an amenable number.

1311004423104 is an abundant number, since it is smaller than the sum of its proper divisors (2157937300416).

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

1311004423104 is a wasteful number, since it uses less digits than its factorization.

1311004423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477417 (or 477407 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1311004423104 its reverse (4013244001131), we get a palindrome (5324248424235).

The spelling of 1311004423104 in words is "one trillion, three hundred eleven billion, four million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 14759 29518 44277 59036 88554 118072 177108 236144 354216 462643 472288 708432 925286 944576 1387929 1416864 1850572 2775858 2833728 3701144 5551716 7402288 11103432 14804576 22206864 29609152 44413728 88827456 6828148037 13656296074 20484444111 27312592148 40968888222 54625184296 81937776444 109250368592 163875552888 218500737184 327751105776 437001474368 655502211552 1311004423104