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1341114000 = 24353832693
BaseRepresentation
bin100111111101111…
…1100011010010000
310110110112122112220
41033323330122100
510221311122000
6341024421040
745143165232
oct11773743220
93413478486
101341114000
11629029886
12315177780
13184b018a5
14ca184252
157cb121a0
hex4fefc690

1341114000 has 160 divisors (see below), whose sum is σ = 4377469824. Its totient is φ = 353190400.

The previous prime is 1341113989. The next prime is 1341114011. The reversal of 1341114000 is 4111431.

It is an interprime number because it is at equal distance from previous prime (1341113989) and next prime (1341114011).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 496654 + ... + 499346.

Almost surely, 21341114000 is an apocalyptic number.

1341114000 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 1341114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188734912).

1341114000 is an abundant number, since it is smaller than the sum of its proper divisors (3036355824).

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

1341114000 is a wasteful number, since it uses less digits than its factorization.

1341114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2786 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1341114000 is about 36621.2233547707. The cubic root of 1341114000 is about 1102.7791982156.

Adding to 1341114000 its reverse (4111431), we get a palindrome (1345225431).

The spelling of 1341114000 in words is "one billion, three hundred forty-one million, one hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 83 100 120 125 150 166 200 240 249 250 300 332 375 400 415 498 500 600 664 750 830 996 1000 1200 1245 1328 1500 1660 1992 2000 2075 2490 2693 3000 3320 3984 4150 4980 5386 6000 6225 6640 8079 8300 9960 10375 10772 12450 13465 16158 16600 19920 20750 21544 24900 26930 31125 32316 33200 40395 41500 43088 49800 53860 62250 64632 67325 80790 83000 99600 107720 124500 129264 134650 161580 166000 201975 215440 223519 249000 269300 323160 336625 403950 447038 498000 538600 646320 670557 673250 807900 894076 1009875 1077200 1117595 1341114 1346500 1615800 1788152 2019750 2235190 2682228 2693000 3231600 3352785 3576304 4039500 4470380 5364456 5386000 5587975 6705570 8079000 8940760 10728912 11175950 13411140 16158000 16763925 17881520 22351900 26822280 27939875 33527850 44703800 53644560 55879750 67055700 83819625 89407600 111759500 134111400 167639250 223519000 268222800 335278500 447038000 670557000 1341114000