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1311032320044 = 2232943343919819
BaseRepresentation
bin10011000100111111100…
…111011010000000101100
311122100000002121101020020
4103010333213122000230
5132434443233220134
62442140244322140
7163501413564636
oct23047747320054
94570002541206
101311032320044
11466007625567
121921060a3350
1396825929a75
144765086da56
152418274ab49
hex1313f9da02c

1311032320044 has 96 divisors (see below), whose sum is σ = 3179254848000. Its totient is φ = 419986861056.

The previous prime is 1311032320021. The next prime is 1311032320049. The reversal of 1311032320044 is 4400232301131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311032319996 and 1311032320023.

It is not an unprimeable number, because it can be changed into a prime (1311032320049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66140367 + ... + 66160185.

It is an arithmetic number, because the mean of its divisors is an integer number (33117238000).

Almost surely, 21311032320044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311032320044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589627424000).

1311032320044 is an abundant number, since it is smaller than the sum of its proper divisors (1868222527956).

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

1311032320044 is a wasteful number, since it uses less digits than its factorization.

1311032320044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20727 (or 20725 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1311032320044 its reverse (4400232301131), we get a palindrome (5711264621175).

The spelling of 1311032320044 in words is "one trillion, three hundred eleven billion, thirty-two million, three hundred twenty thousand, forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 433 439 866 878 1299 1317 1732 1756 2598 2634 5196 5268 12557 12731 19819 25114 25462 37671 38193 39638 50228 50924 59457 75342 76386 79276 118914 150684 152772 190087 237828 380174 570261 574751 760348 1140522 1149502 1724253 2281044 2299004 3448506 5512523 6897012 8581627 8700541 11025046 16537569 17163254 17401082 22050092 25744881 26101623 33075138 34326508 34802164 51489762 52203246 66150276 102979524 104406492 248867183 252315689 497734366 504631378 746601549 756947067 995468732 1009262756 1493203098 1513894134 2986406196 3027788268 3767334253 7534668506 11302002759 15069337012 22604005518 45208011036 109252693337 218505386674 327758080011 437010773348 655516160022 1311032320044