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1400201010 = 2325131962987
BaseRepresentation
bin101001101110101…
…0101111100110010
310121120201120200200
41103131111330302
510331422413020
6350535100030
746461340455
oct12335257462
93546646620
101400201010
1165941681a
12330b11616
1319411c110
14d3d6549c
1582dd4590
hex53755f32

1400201010 has 96 divisors (see below), whose sum is σ = 4126973760. Its totient is φ = 326519424.

The previous prime is 1400201009. The next prime is 1400201051. The reversal of 1400201010 is 101020041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1400200983 and 1400201001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9264 + ... + 53723.

It is an arithmetic number, because the mean of its divisors is an integer number (42989310).

Almost surely, 21400201010 is an apocalyptic number.

1400201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063486880).

1400201010 is an abundant number, since it is smaller than the sum of its proper divisors (2726772750).

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

1400201010 is a wasteful number, since it uses less digits than its factorization.

1400201010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63032 (or 63029 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1400201010 is about 37419.2598804412. The cubic root of 1400201010 is about 1118.7424794393.

Adding to 1400201010 its reverse (101020041), we get a palindrome (1501221051).

The spelling of 1400201010 in words is "one billion, four hundred million, two hundred one thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 30 38 39 45 57 65 78 90 95 114 117 130 171 190 195 234 247 285 342 390 494 570 585 741 855 1170 1235 1482 1710 2223 2470 3705 4446 7410 11115 22230 62987 125974 188961 314935 377922 566883 629870 818831 944805 1133766 1196753 1637662 1889610 2393506 2456493 2834415 3590259 4094155 4912986 5668830 5983765 7180518 7369479 8188310 10770777 11967530 12282465 14738958 15557789 17951295 21541554 24564930 31115578 35902590 36847395 46673367 53853885 73694790 77788945 93346734 107707770 140020101 155577890 233366835 280040202 466733670 700100505 1400201010