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1040401071 = 331729471663
BaseRepresentation
bin111110000000110…
…100001010101111
32200111200211222000
4332000310022233
54112320313241
6251123223343
734532156163
oct7600641257
92614624860
101040401071
114943087a6
12250517b53
13137714448
149c266ca3
1561511eb6
hex3e0342af

1040401071 has 64 divisors (see below), whose sum is σ = 1725235200. Its totient is φ = 616508928.

The previous prime is 1040401009. The next prime is 1040401091. The reversal of 1040401071 is 1701040401.

1040401071 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1040401071 - 27 = 1040400943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040401001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 624786 + ... + 626448.

It is an arithmetic number, because the mean of its divisors is an integer number (26956800).

Almost surely, 21040401071 is an apocalyptic number.

1040401071 is a deficient number, since it is larger than the sum of its proper divisors (684834129).

1040401071 is a wasteful number, since it uses less digits than its factorization.

1040401071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1040401071 is about 32255.2487356709. The cubic root of 1040401071 is about 1013.2896270993.

Adding to 1040401071 its reverse (1701040401), we get a palindrome (2741441472).

It can be divided in two parts, 104040 and 1071, that added together give a triangular number (105111 = T458).

The spelling of 1040401071 in words is "one billion, forty million, four hundred one thousand, seventy-one".

Divisors: 1 3 9 17 27 29 47 51 87 141 153 261 423 459 493 783 799 1269 1363 1479 1663 2397 4089 4437 4989 7191 12267 13311 14967 21573 23171 28271 36801 44901 48227 69513 78161 84813 144681 208539 234483 254439 434043 625617 703449 763317 819859 1302129 1328737 2110347 2266669 2459577 3986211 6800007 7378731 11958633 20400021 22136193 35875899 38533373 61200063 115600119 346800357 1040401071