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130410435440 = 2453168376991
BaseRepresentation
bin111100101110100010…
…0010101001101110000
3110110121112020112012102
41321131010111031300
54114040032413230
6135524300115532
712264456261065
oct1713504251560
9413545215172
10130410435440
115034132237a
1221336235ba8
13c3b3c2ac3c
146451bc8c6c
1535d3dd9045
hex1e5d115370

130410435440 has 80 divisors (see below), whose sum is σ = 313447366656. Its totient is φ = 50406892800.

The previous prime is 130410435427. The next prime is 130410435473. The reversal of 130410435440 is 44534014031.

It is a happy number.

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

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, 1655345 + ... + 1732335.

Almost surely, 2130410435440 is an apocalyptic number.

130410435440 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 130410435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156723683328).

130410435440 is an abundant number, since it is smaller than the sum of its proper divisors (183036931216).

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

130410435440 is a wasteful number, since it uses less digits than its factorization.

130410435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77718 (or 77712 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 130410435440 its reverse (44534014031), we get a palindrome (174944449471).

The spelling of 130410435440 in words is "one hundred thirty billion, four hundred ten million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 683 1240 1366 2480 2732 3415 5464 6830 10928 13660 21173 27320 42346 54640 76991 84692 105865 153982 169384 211730 307964 338768 384955 423460 615928 769910 846920 1231856 1539820 1693840 2386721 3079640 4773442 6159280 9546884 11933605 19093768 23867210 38187536 47734420 52584853 95468840 105169706 190937680 210339412 262924265 420678824 525848530 841357648 1051697060 1630130443 2103394120 3260260886 4206788240 6520521772 8150652215 13041043544 16301304430 26082087088 32602608860 65205217720 130410435440