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4402400002 = 27211131721087
BaseRepresentation
bin1000001100110011…
…10100101100000010
3102100210220002110221
410012121310230002
533004003300002
62004502413254
7214044532300
oct40631645402
912323802427
104402400002
11195a049310
12a2a43122a
135520c3520
142da981270
151ab75ec37
hex106674b02

4402400002 has 144 divisors (see below), whose sum is σ = 9595611648. Its totient is φ = 1488775680.

The previous prime is 4402399957. The next prime is 4402400039. The reversal of 4402400002 is 2000042044.

It is a super-2 number, since 2×44024000022 = 38762251555219200008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4049503 + ... + 4050589.

It is an arithmetic number, because the mean of its divisors is an integer number (66636192).

Almost surely, 24402400002 is an apocalyptic number.

4402400002 is an abundant number, since it is smaller than the sum of its proper divisors (5193211646).

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

4402400002 is a wasteful number, since it uses less digits than its factorization.

4402400002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4402400002 is about 66350.5840366157. The cubic root of 4402400002 is about 1638.9404223034.

Adding to 4402400002 its reverse (2000042044), we get a palindrome (6402442046).

It can be divided in two parts, 4402 and 400002, that added together give a palindrome (404404).

The spelling of 4402400002 in words is "four billion, four hundred two million, four hundred thousand, two".

Divisors: 1 2 7 11 13 14 17 22 26 34 49 77 91 98 119 143 154 182 187 221 238 286 289 374 442 539 578 637 833 1001 1078 1087 1274 1309 1547 1666 2002 2023 2174 2431 2618 3094 3179 3757 4046 4862 6358 7007 7514 7609 9163 10829 11957 14014 14131 14161 15218 17017 18326 18479 21658 22253 23914 26299 28262 28322 34034 36958 41327 44506 52598 53263 82654 83699 98917 106526 119119 129353 155441 155771 167398 184093 197834 203269 238238 240227 258706 289289 310882 311542 314143 368186 406538 480454 578578 585893 628286 692419 905471 1088087 1171786 1384838 1422883 1681589 1810942 2025023 2176174 2199001 2642497 2845766 3363178 3455573 4050046 4083859 4398002 5284994 6911146 7616609 8167718 9960181 11771123 15233218 15393007 18497479 19920362 23542246 24189011 28587013 30786014 36994958 44922449 48378022 57174026 89844898 129482353 169323077 200109091 258964706 314457143 338646154 400218182 628914286 2201200001 4402400002