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1840422144 = 283111311663
BaseRepresentation
bin110110110110010…
…1001110100000000
311202021002010120010
41231230221310000
512232122002034
6502342344520
763415221141
oct15554516400
94667063503
101840422144
11864963440
1243442b140
132343a3ab2
141365d9ac8
15ab8903e9
hex6db29d00

1840422144 has 144 divisors (see below), whose sum is σ = 5387526144. Its totient is φ = 553113600.

The previous prime is 1840422139. The next prime is 1840422161. The reversal of 1840422144 is 4412240481.

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, 1105857 + ... + 1107519.

It is an arithmetic number, because the mean of its divisors is an integer number (37413376).

Almost surely, 21840422144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1840422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693763072).

1840422144 is an abundant number, since it is smaller than the sum of its proper divisors (3547104000).

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

1840422144 is a wasteful number, since it uses less digits than its factorization.

1840422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 1840422144 is about 42900.1415382281. The cubic root of 1840422144 is about 1225.4788396521.

The spelling of 1840422144 in words is "one billion, eight hundred forty million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 131 132 176 192 256 262 264 352 384 393 524 528 704 768 786 1048 1056 1408 1441 1572 1663 2096 2112 2816 2882 3144 3326 4192 4224 4323 4989 5764 6288 6652 8384 8448 8646 9978 11528 12576 13304 16768 17292 18293 19956 23056 25152 26608 33536 34584 36586 39912 46112 50304 53216 54879 69168 73172 79824 92224 100608 106432 109758 138336 146344 159648 184448 212864 217853 219516 276672 292688 319296 368896 425728 435706 439032 553344 585376 638592 653559 871412 878064 1106688 1170752 1277184 1307118 1742824 1756128 2341504 2396383 2614236 3485648 3512256 4683008 4792766 5228472 6971296 7024512 7189149 9585532 10456944 13942592 14049024 14378298 19171064 20913888 27885184 28756596 38342128 41827776 55770368 57513192 76684256 83655552 115026384 153368512 167311104 230052768 306737024 460105536 613474048 920211072 1840422144