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1040010944 = 2675343801
BaseRepresentation
bin111101111111010…
…100111011000000
32200110222000210212
4331333110323000
54112220322234
6251111013252
734525642610
oct7577247300
92613860725
101040010944
11494071685
1225036a228
131376089bb
149c1a4a40
15614865ce
hex3dfd4ec0

1040010944 has 56 divisors (see below), whose sum is σ = 2403152928. Its totient is φ = 437299200.

The previous prime is 1040010931. The next prime is 1040010949. The reversal of 1040010944 is 4490100401.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10400109442 = 2163245527279542272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1040010949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844 + ... + 45644.

Almost surely, 21040010944 is an apocalyptic number.

1040010944 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 1040010944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201576464).

1040010944 is an abundant number, since it is smaller than the sum of its proper divisors (1363141984).

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

1040010944 is an equidigital number, since it uses as much as digits as its factorization.

1040010944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43873 (or 43863 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1040010944 is about 32249.2006722647. The cubic root of 1040010944 is about 1013.1629576592.

The spelling of 1040010944 in words is "one billion, forty million, ten thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 5936 11872 23744 43801 87602 175204 306607 350408 613214 700816 1226428 1401632 2321453 2452856 2803264 4642906 4905712 9285812 9811424 16250171 18571624 19622848 32500342 37143248 65000684 74286496 130001368 148572992 260002736 520005472 1040010944