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4442400331425 = 3252729149652759
BaseRepresentation
bin100000010100101001110…
…1100011001011010100001
3120201200121111222002010100
41000221103230121122201
51040241013441101200
613240451024253013
7635644551531540
oct100512354313241
916650544862110
104442400331425
1114630141a0591
125b8b72a71169
13262bbb88ca84
141150287b8157
157a854e79d00
hex40a53b196a1

4442400331425 has 144 divisors (see below), whose sum is σ = 9470242080000. Its totient is φ = 1947620989440.

The previous prime is 4442400331423. The next prime is 4442400331433. The reversal of 4442400331425 is 5241330042444.

4442400331425 is a `hidden beast` number, since 4 + 44 + 240 + 0 + 331 + 42 + 5 = 666.

It is not a de Polignac number, because 4442400331425 - 21 = 4442400331423 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4442400331425.

It is not an unprimeable number, because it can be changed into a prime (4442400331423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6479196 + ... + 7131954.

It is an arithmetic number, because the mean of its divisors is an integer number (65765570000).

Almost surely, 24442400331425 is an apocalyptic number.

4442400331425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4442400331425 is an abundant number, since it is smaller than the sum of its proper divisors (5027841748575).

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

4442400331425 is a wasteful number, since it uses less digits than its factorization.

4442400331425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652960 (or 652952 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 4442400331425 its reverse (5241330042444), we get a palindrome (9683730373869).

The spelling of 4442400331425 in words is "four trillion, four hundred forty-two billion, four hundred million, three hundred thirty-one thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 63 75 87 105 145 149 175 203 225 261 315 435 447 525 609 725 745 1015 1043 1305 1341 1575 1827 2175 2235 3045 3129 3725 4321 5075 5215 6525 6705 9135 9387 11175 12963 15225 15645 21605 26075 30247 33525 38889 45675 46935 64815 78225 90741 108025 151235 194445 234675 272223 324075 453705 652759 756175 972225 1361115 1958277 2268525 3263795 4569313 5874831 6805575 9791385 13707939 16318975 18930011 22846565 29374155 41123817 48956925 56790033 68539695 94650055 97261091 114232825 132510077 146870775 170370099 205619085 283950165 291783273 342698475 397530231 473250275 486305455 662550385 680827637 851850495 875349819 1028095425 1192590693 1419750825 1458916365 1987651155 2042482911 2431527275 2820571639 3312751925 3404138185 4259252475 4376749095 5962953465 6127448733 7294581825 8461714917 9938255775 10212414555 14102858195 17020690925 19744001473 21883745475 25385144751 29814767325 30637243665 42308574585 51062072775 59232004419 70514290975 98720007365 126925723755 153186218325 177696013257 211542872925 296160022095 493600036825 634628618775 888480066285 1480800110475 4442400331425