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1014944900 = 225229349981
BaseRepresentation
bin111100011111101…
…101010010000100
32121201210112122212
4330133231102010
54034311214100
6244413442552
734102614014
oct7437552204
92551715585
101014944900
11480a01142
12243aa0458
13132370718
1498b1bc44
155e184635
hex3c7ed484

1014944900 has 36 divisors (see below), whose sum is σ = 2278382820. Its totient is φ = 391977600.

The previous prime is 1014944881. The next prime is 1014944927. The reversal of 1014944900 is 94494101.

It can be written as a sum of positive squares in 6 ways, for example, as 105801796 + 909143104 = 10286^2 + 30152^2 .

It is a super-2 number, since 2×10149449002 = 2060226300072020000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 172091 + ... + 177890.

Almost surely, 21014944900 is an apocalyptic number.

1014944900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1014944900 is an abundant number, since it is smaller than the sum of its proper divisors (1263437920).

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

1014944900 is a wasteful number, since it uses less digits than its factorization.

1014944900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350024 (or 350017 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 1014944900 is about 31858.1998863715. The cubic root of 1014944900 is about 1004.9570206779.

The spelling of 1014944900 in words is "one billion, fourteen million, nine hundred forty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 349981 699962 1399924 1749905 3499810 6999620 8749525 10149449 17499050 20298898 34998100 40597796 50747245 101494490 202988980 253736225 507472450 1014944900