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1410422000 = 245313173191
BaseRepresentation
bin101010000010001…
…0101010011110000
310122021221212020212
41110010111103300
510342032001000
6351542123252
746644250331
oct12404252360
93567855225
101410422000
11664167a19
12334420528
1319628a440
14d5466288
1583c52c35
hex541154f0

1410422000 has 160 divisors (see below), whose sum is σ = 3890001024. Its totient is φ = 489984000.

The previous prime is 1410421967. The next prime is 1410422023. The reversal of 1410422000 is 2240141.

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, 440405 + ... + 443595.

Almost surely, 21410422000 is an apocalyptic number.

1410422000 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 1410422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945000512).

1410422000 is an abundant number, since it is smaller than the sum of its proper divisors (2479579024).

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

1410422000 is a wasteful number, since it uses less digits than its factorization.

1410422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1410422000 is about 37555.5854700736. The cubic root of 1410422000 is about 1121.4580288188.

Adding to 1410422000 its reverse (2240141), we get a palindrome (1412662141).

The spelling of 1410422000 in words is "one billion, four hundred ten million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 17 20 25 26 34 40 50 52 65 68 80 85 100 104 125 130 136 170 200 208 221 250 260 272 325 340 400 425 442 500 520 650 680 850 884 1000 1040 1105 1300 1360 1625 1700 1768 2000 2125 2210 2600 3191 3250 3400 3536 4250 4420 5200 5525 6382 6500 6800 8500 8840 11050 12764 13000 15955 17000 17680 22100 25528 26000 27625 31910 34000 41483 44200 51056 54247 55250 63820 79775 82966 88400 108494 110500 127640 159550 165932 207415 216988 221000 255280 271235 319100 331864 398875 414830 433976 442000 542470 638200 663728 705211 797750 829660 867952 1037075 1084940 1276400 1356175 1410422 1595500 1659320 2074150 2169880 2712350 2820844 3191000 3318640 3526055 4148300 4339760 5185375 5424700 5641688 6382000 6780875 7052110 8296600 10370750 10849400 11283376 13561750 14104220 16593200 17630275 20741500 21698800 27123500 28208440 35260550 41483000 54247000 56416880 70521100 82966000 88151375 108494000 141042200 176302750 282084400 352605500 705211000 1410422000