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810142736440 = 235317237726879
BaseRepresentation
bin10111100101000000100…
…01010010000000111000
32212110010020111010200211
423302200101102000320
5101233133020031230
61420101402240504
7112350043432132
oct13624021220070
92773106433624
10810142736440
112926414aa804
121110171b6134
135b51c3c187b
142b2d5442052
151611899742a
hexbca0452038

810142736440 has 64 divisors (see below), whose sum is σ = 1829408716800. Its totient is φ = 322886919168.

The previous prime is 810142736407. The next prime is 810142736449. The reversal of 810142736440 is 44637241018.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 810142736393 and 810142736402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810142736449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30126921 + ... + 30153799.

It is an arithmetic number, because the mean of its divisors is an integer number (28584511200).

Almost surely, 2810142736440 is an apocalyptic number.

It is an amenable number.

810142736440 is an abundant number, since it is smaller than the sum of its proper divisors (1019265980360).

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

810142736440 is a wasteful number, since it uses less digits than its factorization.

810142736440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29584 (or 29580 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

Adding to 810142736440 its reverse (44637241018), we get a palindrome (854779977458).

The spelling of 810142736440 in words is "eight hundred ten billion, one hundred forty-two million, seven hundred thirty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 317 634 1268 1585 2377 2536 3170 4754 6340 9508 11885 12680 19016 23770 26879 47540 53758 95080 107516 134395 215032 268790 537580 753509 1075160 1507018 3014036 3767545 6028072 7535090 8520643 15070180 17041286 30140360 34082572 42603215 63891383 68165144 85206430 127782766 170412860 255565532 319456915 340825720 511131064 638913830 1277827660 2555655320 20253568411 40507136822 81014273644 101267842055 162028547288 202535684110 405071368220 810142736440