Search a number
-
+
10400142003 = 31737101197277
BaseRepresentation
bin10011010111110010…
…11001001010110011
3222211210200221202120
421223321121022303
5132244414021003
64435555045323
7515503514466
oct115371311263
928753627676
1010400142003
114457677689
122022ba0843
13c9987b5a4
147093632dd
1540d09d853
hex26be592b3

10400142003 has 64 divisors (see below), whose sum is σ = 15361239168. Its totient is φ = 6231859200.

The previous prime is 10400141963. The next prime is 10400142019. The reversal of 10400142003 is 30024100401.

It is not a de Polignac number, because 10400142003 - 218 = 10399879859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10400142503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37545501 + ... + 37545777.

It is an arithmetic number, because the mean of its divisors is an integer number (240019362).

Almost surely, 210400142003 is an apocalyptic number.

10400142003 is a deficient number, since it is larger than the sum of its proper divisors (4961097165).

10400142003 is a wasteful number, since it uses less digits than its factorization.

10400142003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10400142003 its reverse (30024100401), we get a palindrome (40424242404).

The spelling of 10400142003 in words is "ten billion, four hundred million, one hundred forty-two thousand, three".

Divisors: 1 3 17 37 51 101 111 197 277 303 591 629 831 1717 1887 3349 3737 4709 5151 7289 10047 10249 11211 14127 19897 21867 27977 30747 54569 59691 63529 83931 123913 163707 174233 190587 338249 371739 475609 522699 736189 927673 1014747 1035149 1426827 2019053 2208567 2783019 3105447 5511469 6057159 12515213 16534407 17597533 34323901 37545639 52792599 93694973 102971703 203924353 281084919 611773059 3466714001 10400142003