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406271633940 = 223257211313003
BaseRepresentation
bin1011110100101111010…
…11010010101000010100
31102211122202202101101100
411322113223102220110
523124021014241230
6510345535030100
741231534624034
oct5722753225024
91384582671340
10406271633940
11147331822847
12668a366b330
132c407a82843
14159410bd8c4
15a87c2da660
hex5e97ad2a14

406271633940 has 72 divisors (see below), whose sum is σ = 1232532127008. Its totient is φ = 108323732160.

The previous prime is 406271633939. The next prime is 406271633983. The reversal of 406271633940 is 49336172604.

406271633940 is a `hidden beast` number, since 4 + 0 + 6 + 2 + 7 + 1 + 633 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1141479 + ... + 1454481.

It is an arithmetic number, because the mean of its divisors is an integer number (17118501764).

Almost surely, 2406271633940 is an apocalyptic number.

It is an amenable number.

406271633940 is an abundant number, since it is smaller than the sum of its proper divisors (826260493068).

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

406271633940 is a wasteful number, since it uses less digits than its factorization.

406271633940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320229 (or 320224 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 406271633940 in words is "four hundred six billion, two hundred seventy-one million, six hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7211 14422 21633 28844 36055 43266 64899 72110 86532 108165 129798 144220 216330 259596 313003 324495 432660 626006 648990 939009 1252012 1297980 1565015 1878018 2817027 3130030 3756036 4695045 5634054 6260060 9390090 11268108 14085135 18780180 28170270 56340540 2257064633 4514129266 6771193899 9028258532 11285323165 13542387798 20313581697 22570646330 27084775596 33855969495 40627163394 45141292660 67711938990 81254326788 101567908485 135423877980 203135816970 406271633940