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455420103344000 = 2753169916753241
BaseRepresentation
bin110011110001100111100000…
…1011110111011111110000000
32012201111201220001002120020222
41213203033001132323332000
5434143100332424002000
64252333035053322212
7164633005466544164
oct14743170136737600
92181451801076228
10455420103344000
11122124643618523
12430b3573196368
1316716c15592832
1480666446a4ca4
15379b7c6c39a85
hex19e33c17bbf80

455420103344000 has 128 divisors (see below), whose sum is σ = 1132954743492000. Its totient is φ = 182060809728000.

The previous prime is 455420103343993. The next prime is 455420103344029. The reversal of 455420103344000 is 443301024554.

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

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, 18807380 + ... + 35560620.

Almost surely, 2455420103344000 is an apocalyptic number.

455420103344000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455420103344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566477371746000).

455420103344000 is an abundant number, since it is smaller than the sum of its proper divisors (677534640148000).

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

455420103344000 is a wasteful number, since it uses less digits than its factorization.

455420103344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16754969 (or 16754947 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 455420103344000 its reverse (443301024554), we get a palindrome (455863404368554).

The spelling of 455420103344000 in words is "four hundred fifty-five trillion, four hundred twenty billion, one hundred three million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 1699 2000 3200 3398 4000 6796 8000 8495 13592 16000 16990 27184 33980 42475 54368 67960 84950 108736 135920 169900 212375 217472 271840 339800 424750 543680 679600 849500 1087360 1359200 1699000 2718400 3398000 5436800 6796000 13592000 16753241 27184000 33506482 67012964 83766205 134025928 167532410 268051856 335064820 418831025 536103712 670129640 837662050 1072207424 1340259280 1675324100 2094155125 2144414848 2680518560 3350648200 4188310250 5361037120 6701296400 8376620500 10722074240 13402592800 16753241000 26805185600 28463756459 33506482000 53610371200 56927512918 67012964000 113855025836 134025928000 142318782295 227710051672 268051856000 284637564590 455420103344 569275129180 711593911475 910840206688 1138550258360 1423187822950 1821680413376 2277100516720 2846375645900 3557969557375 3643360826752 4554201033440 5692751291800 7115939114750 9108402066880 11385502583600 14231878229500 18216804133760 22771005167200 28463756459000 45542010334400 56927512918000 91084020668800 113855025836000 227710051672000 455420103344000