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1400444032 = 27131038171
BaseRepresentation
bin101001101111001…
…0001010010000000
310121121011221001111
41103132101102000
510332003202112
6350544213104
746463402131
oct12336212200
93547157044
101400444032
11659572369
1233100a194
131941a5910
14d3dc9c88
1582e315a7
hex53791480

1400444032 has 64 divisors (see below), whose sum is σ = 3034100160. Its totient is φ = 640005120.

The previous prime is 1400444029. The next prime is 1400444047. The reversal of 1400444032 is 2304440041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×14004440322 = 3922486973528834048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1400443994 and 1400444012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167307 + ... + 175477.

It is an arithmetic number, because the mean of its divisors is an integer number (47407815).

Almost surely, 21400444032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517050080).

1400444032 is an abundant number, since it is smaller than the sum of its proper divisors (1633656128).

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

1400444032 is a wasteful number, since it uses less digits than its factorization.

1400444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8301 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1400444032 is about 37422.5070245167. The cubic root of 1400444032 is about 1118.8071995057.

Adding to 1400444032 its reverse (2304440041), we get a palindrome (3704884073).

The spelling of 1400444032 in words is "one billion, four hundred million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 412 416 824 832 1339 1648 1664 2678 3296 5356 6592 8171 10712 13184 16342 21424 32684 42848 65368 85696 106223 130736 171392 212446 261472 424892 522944 841613 849784 1045888 1683226 1699568 3366452 3399136 6732904 6798272 10940969 13465808 13596544 21881938 26931616 43763876 53863232 87527752 107726464 175055504 350111008 700222016 1400444032