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1243410222040 = 235767310936037
BaseRepresentation
bin10010000110000001000…
…001100100101111011000
311101212110101200212122221
4102012001001210233120
5130333001004101130
62351114220153424
7155555602334110
oct22060101445730
94355411625587
101243410222040
1143a366722458
12180b93698874
139033a031a1c
14442779a4040
1522525c9887a
hex12181064bd8

1243410222040 has 128 divisors (see below), whose sum is σ = 3205551980160. Its totient is φ = 425218719744.

The previous prime is 1243410222029. The next prime is 1243410222071. The reversal of 1243410222040 is 402220143421.

It is a junction number, because it is equal to n+sod(n) for n = 1243410221996 and 1243410222014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205961902 + ... + 205967938.

It is an arithmetic number, because the mean of its divisors is an integer number (25043374845).

Almost surely, 21243410222040 is an apocalyptic number.

1243410222040 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 1243410222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602775990080).

1243410222040 is an abundant number, since it is smaller than the sum of its proper divisors (1962141758120).

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

1243410222040 is a wasteful number, since it uses less digits than its factorization.

1243410222040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1243410222040 its reverse (402220143421), we get a palindrome (1645630365461).

The spelling of 1243410222040 in words is "one trillion, two hundred forty-three billion, four hundred ten million, two hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 673 1093 1346 2186 2692 3365 4372 4711 5384 5465 6037 6730 7651 8744 9422 10930 12074 13460 15302 18844 21860 23555 24148 26920 30185 30604 37688 38255 42259 43720 47110 48296 60370 61208 76510 84518 94220 120740 153020 169036 188440 211295 241480 306040 338072 422590 735589 845180 1471178 1690360 2942356 3677945 4062901 5149123 5884712 6598441 7355890 8125802 10298246 13196882 14711780 16251604 20314505 20596492 25745615 26393764 28440307 29423560 32503208 32992205 40629010 41192984 46189087 51491230 52787528 56880614 65984410 81258020 92378174 102982460 113761228 131968820 142201535 162516040 184756348 205964920 227522456 230945435 263937640 284403070 369512696 461890870 568806140 923781740 1137612280 1847563480 4440750793 8881501586 17763003172 22203753965 31085255551 35526006344 44407507930 62170511102 88815015860 124341022204 155426277755 177630031720 248682044408 310852555510 621705111020 1243410222040