Search a number
-
+
1331313344240 = 2451123101651251
BaseRepresentation
bin10011010111111000011…
…101010111111011110000
311201021100111221011012112
4103113320131113323300
5133303012204003430
62455332533144452
7165120120466235
oct23277035277360
94637314834175
101331313344240
11473674748190
1219602618b128
13987085ba2b9
14486161c978c
152496cec8195
hex135f8757ef0

1331313344240 has 160 divisors (see below), whose sum is σ = 3558399247872. Its totient is φ = 458480000000.

The previous prime is 1331313344173. The next prime is 1331313344279. The reversal of 1331313344240 is 424433131331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1331313344197 and 1331313344206.

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, 1718615 + ... + 2369865.

Almost surely, 21331313344240 is an apocalyptic number.

1331313344240 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 1331313344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779199623936).

1331313344240 is an abundant number, since it is smaller than the sum of its proper divisors (2227085903632).

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

1331313344240 is a wasteful number, since it uses less digits than its factorization.

1331313344240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651399 (or 651393 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 1331313344240 its reverse (424433131331), we get a palindrome (1755746475571).

The spelling of 1331313344240 in words is "one trillion, three hundred thirty-one billion, three hundred thirteen million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 101 110 115 176 184 202 220 230 253 368 404 440 460 505 506 808 880 920 1010 1012 1111 1265 1616 1840 2020 2024 2222 2323 2530 4040 4048 4444 4646 5060 5555 8080 8888 9292 10120 11110 11615 17776 18584 20240 22220 23230 25553 37168 44440 46460 51106 88880 92920 102212 127765 185840 204424 255530 408848 511060 651251 1022120 1302502 2044240 2605004 3256255 5210008 6512510 7163761 10420016 13025020 14327522 14978773 26050040 28655044 29957546 35818805 52100080 57310088 59915092 65776351 71637610 74893865 114620176 119830184 131552702 143275220 149787730 164766503 239660368 263105404 286550440 299575460 328881755 329533006 526210808 573100880 599150920 657763510 659066012 723539861 823832515 1052421616 1198301840 1315527020 1318132024 1447079722 1512856073 1647665030 2631054040 2636264048 2894159444 3025712146 3295330060 3617699305 5262108080 5788318888 6051424292 6590660120 7235398610 7564280365 11576637776 12102848584 13181320240 14470797220 15128560730 16641416803 24205697168 28941594440 30257121460 33282833606 57883188880 60514242920 66565667212 83207084015 121028485840 133131334424 166414168030 266262668848 332828336060 665656672120 1331313344240