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1040441406 = 2319313773109
BaseRepresentation
bin111110000000111…
…110000000111110
32200111202220021220
4332000332000332
54112323111111
6251124134210
734532414604
oct7600760076
92614686256
101040441406
11494336034
12250537366
13137729904
149c277874
156151de06
hex3e03e03e

1040441406 has 128 divisors (see below), whose sum is σ = 2375577600. Its totient is φ = 302330880.

The previous prime is 1040441401. The next prime is 1040441489. The reversal of 1040441406 is 6041440401.

1040441406 = 752 + 762 + ... + 14612.

1040441406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040441401) 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, 9545280 + ... + 9545388.

It is an arithmetic number, because the mean of its divisors is an integer number (18559200).

Almost surely, 21040441406 is an apocalyptic number.

1040441406 is an abundant number, since it is smaller than the sum of its proper divisors (1335136194).

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

1040441406 is a wasteful number, since it uses less digits than its factorization.

1040441406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1040441406 is about 32255.8739766883. The cubic root of 1040441406 is about 1013.3027215716.

Adding to 1040441406 its reverse (6041440401), we get a palindrome (7081881807).

The spelling of 1040441406 in words is "one billion, forty million, four hundred forty-one thousand, four hundred six".

Divisors: 1 2 3 6 19 31 37 38 57 62 73 74 93 109 111 114 146 186 218 219 222 327 438 589 654 703 1147 1178 1387 1406 1767 2071 2109 2263 2294 2701 2774 3379 3441 3534 4033 4142 4161 4218 4526 5402 6213 6758 6789 6882 7957 8066 8103 8322 10137 12099 12426 13578 15914 16206 20274 21793 23871 24198 42997 43586 47742 51319 64201 65379 76627 83731 85994 102638 125023 128402 128991 130758 151183 153254 153957 167462 192603 229881 246667 250046 251193 257982 294409 302366 307914 375069 385206 453549 459762 493334 502386 588818 740001 750138 883227 907098 1480002 1590889 1766454 2375437 3181778 4686673 4750874 4772667 5593771 7126311 9126679 9373346 9545334 11187542 14060019 14252622 16781313 18253358 27380037 28120038 33562626 54760074 173406901 346813802 520220703 1040441406