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4430001431424 = 273231513321757
BaseRepresentation
bin100000001110111000010…
…1010010110001110000000
3120200111121102020200211210
41000131300222112032000
51040040120331301144
613231040425010120
7635025364604202
oct100356052261600
916614542220753
104430001431424
111458831355498
125b6692623940
13261993bb055a
141145adc00772
157a37b6b1ab9
hex40770a96380

4430001431424 has 128 divisors (see below), whose sum is σ = 12360128647680. Its totient is φ = 1403109734400.

The previous prime is 4430001431399. The next prime is 4430001431497. The reversal of 4430001431424 is 4241341000344.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 4430001431391 and 4430001431400.

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, 327247 + ... + 2994510.

It is an arithmetic number, because the mean of its divisors is an integer number (96563505060).

Almost surely, 24430001431424 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 4430001431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180064323840).

4430001431424 is an abundant number, since it is smaller than the sum of its proper divisors (7930127216256).

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

4430001431424 is a wasteful number, since it uses less digits than its factorization.

4430001431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321948 (or 3321936 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4430001431424 its reverse (4241341000344), we get a palindrome (8671342431768).

The spelling of 4430001431424 in words is "four trillion, four hundred thirty billion, one million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 151 184 192 276 302 368 384 453 552 604 736 906 1104 1208 1472 1812 2208 2416 2944 3473 3624 4416 4832 6946 7248 8832 9664 10419 13892 14496 19328 20838 27784 28992 41676 55568 57984 83352 111136 166704 222272 333408 444544 666816 1333632 3321757 6643514 9965271 13287028 19930542 26574056 39861084 53148112 76400411 79722168 106296224 152800822 159444336 212592448 229201233 305601644 318888672 425184896 458402466 501585307 611203288 637777344 916804932 1003170614 1222406576 1275554688 1504755921 1833609864 2006341228 2444813152 3009511842 3667219728 4012682456 4889626304 6019023684 7334439456 8025364912 9779252608 11536462061 12038047368 14668878912 16050729824 23072924122 24076094736 29337757824 32101459648 34609386183 46145848244 48152189472 64202919296 69218772366 92291696488 96304378944 138437544732 184583392976 192608757888 276875089464 369166785952 553750178928 738333571904 1107500357856 1476667143808 2215000715712 4430001431424