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1040311104 = 26371940739
BaseRepresentation
bin111110000000011…
…110001101000000
32200111112021112220
4332000132031000
54112304423404
6251121251040
734531332660
oct7600361500
92614467486
101040311104
11494257148
12250493a80
131376b2501
149c2421a0
15614e54d9
hex3e01e340

1040311104 has 112 divisors (see below), whose sum is σ = 3311347200. Its totient is φ = 281581056.

The previous prime is 1040311093. The next prime is 1040311159. The reversal of 1040311104 is 4011130401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5167 + ... + 45905.

It is an arithmetic number, because the mean of its divisors is an integer number (29565600).

Almost surely, 21040311104 is an apocalyptic number.

1040311104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655673600).

1040311104 is an abundant number, since it is smaller than the sum of its proper divisors (2271036096).

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

1040311104 is a wasteful number, since it uses less digits than its factorization.

1040311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40780 (or 40770 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1040311104 is about 32253.8540952860. The cubic root of 1040311104 is about 1013.2604187301.

Adding to 1040311104 its reverse (4011130401), we get a palindrome (5051441505).

The spelling of 1040311104 in words is "one billion, forty million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 40739 81478 122217 162956 244434 285173 325912 488868 570346 651824 774041 855519 977736 1140692 1303648 1548082 1711038 1955472 2281384 2322123 2607296 3096164 3422076 3910944 4562768 4644246 5418287 6192328 6844152 7821888 9125536 9288492 10836574 12384656 13688304 16254861 18251072 18576984 21673148 24769312 27376608 32509722 37153968 43346296 49538624 54753216 65019444 74307936 86692592 130038888 148615872 173385184 260077776 346770368 520155552 1040311104