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1311423436640 = 255157383136309
BaseRepresentation
bin10011000101010110111…
…011011001011101100000
311122101000100120011100002
4103011112323121131200
5132441243344433030
62442243135315132
7163514203200362
oct23052673313540
94571010504302
101311423436640
11466198383219
121921b507baa8
139688897aac5
144768a7a0d32
15241a6c57245
hex13156ed9760

1311423436640 has 96 divisors (see below), whose sum is σ = 3126135720960. Its totient is φ = 519863445504.

The previous prime is 1311423436633. The next prime is 1311423436657. The reversal of 1311423436640 is 466343241131.

It is a junction number, because it is equal to n+sod(n) for n = 1311423436594 and 1311423436603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9552806 + ... + 9689114.

It is an arithmetic number, because the mean of its divisors is an integer number (32563913760).

Almost surely, 21311423436640 is an apocalyptic number.

1311423436640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311423436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563067860480).

1311423436640 is an abundant number, since it is smaller than the sum of its proper divisors (1814712284320).

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

1311423436640 is a wasteful number, since it uses less digits than its factorization.

1311423436640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136864 (or 136856 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 38.

Adding to 1311423436640 its reverse (466343241131), we get a palindrome (1777766677771).

The spelling of 1311423436640 in words is "one trillion, three hundred eleven billion, four hundred twenty-three million, four hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 383 628 766 785 1256 1532 1570 1915 2512 3064 3140 3830 5024 6128 6280 7660 12256 12560 15320 25120 30640 60131 61280 120262 136309 240524 272618 300655 481048 545236 601310 681545 962096 1090472 1202620 1363090 1924192 2180944 2405240 2726180 4361888 4810480 5452360 9620960 10904720 21400513 21809440 42801026 52206347 85602052 104412694 107002565 171204104 208825388 214005130 261031735 342408208 417650776 428010260 522063470 684816416 835301552 856020520 1044126940 1670603104 1712041040 2088253880 3424082080 4176507760 8196396479 8353015520 16392792958 32785585916 40981982395 65571171832 81963964790 131142343664 163927929580 262284687328 327855859160 655711718320 1311423436640