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1400241312 = 253217285997
BaseRepresentation
bin101001101110101…
…1111110010100000
310121120210121222100
41103131133302200
510331430210222
6350540010400
746461566121
oct12335376240
93546717870
101400241312
11659444028
12330b30a00
13194134572
14d3d76048
1582de14ac
hex5375fca0

1400241312 has 72 divisors (see below), whose sum is σ = 4216182516. Its totient is φ = 439289856.

The previous prime is 1400241299. The next prime is 1400241317. The reversal of 1400241312 is 2131420041.

It can be written as a sum of positive squares in 2 ways, for example, as 1094551056 + 305690256 = 33084^2 + 17484^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1400241317) 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 11 ways as a sum of consecutive naturals, for example, 138103 + ... + 147894.

Almost surely, 21400241312 is an apocalyptic number.

1400241312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1400241312 is an abundant number, since it is smaller than the sum of its proper divisors (2815941204).

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

1400241312 is a wasteful number, since it uses less digits than its factorization.

1400241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286030 (or 286019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1400241312 is about 37419.7983960363. The cubic root of 1400241312 is about 1118.7532129284.

Adding to 1400241312 its reverse (2131420041), we get a palindrome (3531661353).

The spelling of 1400241312 in words is "one billion, four hundred million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 285997 571994 857991 1143988 1715982 2287976 2573973 3431964 4575952 4861949 5147946 6863928 9151904 9723898 10295892 13727856 14585847 19447796 20591784 27455712 29171694 38895592 41183568 43757541 58343388 77791184 82367136 87515082 116686776 155582368 175030164 233373552 350060328 466747104 700120656 1400241312