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1304424044240 = 24523821863491
BaseRepresentation
bin10010111110110101101…
…110110101011011010000
311121200221112222012000112
4102332311232311123100
5132332430023403430
62435124422140452
7163145562301502
oct22766556653320
94550845865015
101304424044240
114632264040a9
12190980b81728
13960118285b5
14471c4d61d72
1523de750d195
hex12fb5bb56d0

1304424044240 has 80 divisors (see below), whose sum is σ = 3168504452736. Its totient is φ = 498475507200.

The previous prime is 1304424044239. The next prime is 1304424044267. The reversal of 1304424044240 is 424404244031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1304424044197 and 1304424044206.

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, 1078895 + ... + 1942385.

Almost surely, 21304424044240 is an apocalyptic number.

1304424044240 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 1304424044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584252226368).

1304424044240 is an abundant number, since it is smaller than the sum of its proper divisors (1864080408496).

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

1304424044240 is a wasteful number, since it uses less digits than its factorization.

1304424044240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864348 (or 864342 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 1304424044240 its reverse (424404244031), we get a palindrome (1728828288271).

The spelling of 1304424044240 in words is "one trillion, three hundred four billion, four hundred twenty-four million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 821 920 1642 1840 3284 4105 6568 8210 13136 16420 18883 32840 37766 65680 75532 94415 151064 188830 302128 377660 755320 863491 1510640 1726982 3453964 4317455 6907928 8634910 13815856 17269820 19860293 34539640 39720586 69079280 79441172 99301465 158882344 198602930 317764688 397205860 708926111 794411720 1417852222 1588823440 2835704444 3544630555 5671408888 7089261110 11342817776 14178522220 16305300553 28357044440 32610601106 56714088880 65221202212 81526502765 130442404424 163053005530 260884808848 326106011060 652212022120 1304424044240