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4402432342044 = 22321122343941713
BaseRepresentation
bin100000000010000010101…
…1010100111100000011100
3120120212110002010211221100
41000010011122213200130
51034112140134421134
613210241031433100
7633031243322262
oct100040532474034
916525402124840
104402432342044
111448074316600
125b1279825790
1325c1bc337709
14113116580432
15797b61b7999
hex401056a781c

4402432342044 has 108 divisors (see below), whose sum is σ = 12763837549008. Its totient is φ = 1276067316480.

The previous prime is 4402432342031. The next prime is 4402432342051.

4402432342044 is a `hidden beast` number, since 4 + 402 + 43 + 2 + 3 + 4 + 204 + 4 = 666.

4402432342044 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21870669 + ... + 22071044.

Almost surely, 24402432342044 is an apocalyptic number.

4402432342044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4402432342044 is an abundant number, since it is smaller than the sum of its proper divisors (8361405206964).

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

4402432342044 is a wasteful number, since it uses less digits than its factorization.

4402432342044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43941768 (or 43941752 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

The spelling of 4402432342044 in words is "four trillion, four hundred two billion, four hundred thirty-two million, three hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 121 132 138 198 207 242 253 276 363 396 414 484 506 726 759 828 1012 1089 1452 1518 2178 2277 2783 3036 4356 4554 5566 8349 9108 11132 16698 25047 33396 50094 100188 43941713 87883426 131825139 175766852 263650278 395475417 483358843 527300556 790950834 966717686 1010659399 1450076529 1581901668 1933435372 2021318798 2900153058 3031978197 4042637596 4350229587 5316947273 5800306116 6063956394 8700459174 9095934591 10633894546 11117253389 12127912788 15950841819 17400918348 18191869182 21267789092 22234506778 31901683638 33351760167 36383738364 44469013556 47852525457 63803367276 66703520334 95705050914 100055280501 122289787279 133407040668 191410101828 200110561002 244579574558 366869361837 400221122004 489159149116 733738723674 1100608085511 1467477447348 2201216171022 4402432342044