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1401310000 = 2454178243
BaseRepresentation
bin101001110000110…
…0100101100110000
310121122210220221101
41103201210230300
510332213410000
6351014534144
746503636616
oct12341445460
93548726841
101401310000
1165a003a42
12331367354
13194419b1c
14d41736b6
1583052e6a
hex53864b30

1401310000 has 100 divisors (see below), whose sum is σ = 3592718712. Its totient is φ = 527488000.

The previous prime is 1401309997. The next prime is 1401310061. The reversal of 1401310000 is 131041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×14013100002 = 3927339432200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 165879 + ... + 174121.

Almost surely, 21401310000 is an apocalyptic number.

1401310000 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 1401310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796359356).

1401310000 is an abundant number, since it is smaller than the sum of its proper divisors (2191408712).

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

1401310000 is an equidigital number, since it uses as much as digits as its factorization.

1401310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1401310000 is about 37434.0753859368. The cubic root of 1401310000 is about 1119.0377577149.

Adding to 1401310000 its reverse (131041), we get a palindrome (1401441041).

The spelling of 1401310000 in words is "one billion, four hundred one million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 625 680 850 1000 1250 1360 1700 2000 2125 2500 3400 4250 5000 6800 8243 8500 10000 10625 16486 17000 21250 32972 34000 41215 42500 65944 82430 85000 131888 140131 164860 170000 206075 280262 329720 412150 560524 659440 700655 824300 1030375 1121048 1401310 1648600 2060750 2242096 2802620 3297200 3503275 4121500 5151875 5605240 7006550 8243000 10303750 11210480 14013100 16486000 17516375 20607500 28026200 35032750 41215000 56052400 70065500 82430000 87581875 140131000 175163750 280262000 350327500 700655000 1401310000