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1401411300 = 2235222920399
BaseRepresentation
bin101001110000111…
…1101011011100100
310121200000001220020
41103201331123210
510332230130200
6351021035140
746504541142
oct12341753344
93550001806
101401411300
1165a073063
123313b5ab0
13194453c73
14d419c592
1583072ea0
hex5387d6e4

1401411300 has 72 divisors (see below), whose sum is σ = 4072656000. Its totient is φ = 372059520.

The previous prime is 1401411299. The next prime is 1401411307. The reversal of 1401411300 is 31141041.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1401411300.

It is not an unprimeable number, because it can be changed into a prime (1401411307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58501 + ... + 78899.

Almost surely, 21401411300 is an apocalyptic number.

1401411300 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 1401411300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036328000).

1401411300 is an abundant number, since it is smaller than the sum of its proper divisors (2671244700).

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

1401411300 is a wasteful number, since it uses less digits than its factorization.

1401411300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20645 (or 20638 counting only the distinct ones).

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

The square root of 1401411300 is about 37435.4284067913. The cubic root of 1401411300 is about 1119.0647219587.

Adding to 1401411300 its reverse (31141041), we get a palindrome (1432552341).

The spelling of 1401411300 in words is "one billion, four hundred one million, four hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 2290 2748 3435 4580 5725 6870 11450 13740 17175 20399 22900 34350 40798 61197 68700 81596 101995 122394 203990 244788 305985 407980 509975 611970 1019950 1223940 1529925 2039900 3059850 4671371 6119700 9342742 14014113 18685484 23356855 28028226 46713710 56056452 70070565 93427420 116784275 140141130 233568550 280282260 350352825 467137100 700705650 1401411300