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401122323221104 = 24172101858890171
BaseRepresentation
bin101101100110100011001000…
…1100101100100101001110000
31221121020220211101102000100101
41123031012101211210221300
5410033442004221033404
63541041015032402144
7150330063050621212
oct13315062145445160
91847226741360311
10401122323221104
111068a0027248051
1238ba423a546354
13142a88991163a4
14710a5d178c5b2
1531591a37a72a4
hex16cd191964a70

401122323221104 has 60 divisors (see below), whose sum is σ = 833753892226248. Its totient is φ = 186894500992000.

The previous prime is 401122323221047. The next prime is 401122323221159.

401122323221104 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428978062 + ... + 429912109.

Almost surely, 2401122323221104 is an apocalyptic number.

It is an amenable number.

401122323221104 is an abundant number, since it is smaller than the sum of its proper divisors (432631569005144).

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

401122323221104 is a wasteful number, since it uses less digits than its factorization.

401122323221104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858890314 (or 858890291 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 401122323221104 in words is "four hundred one trillion, one hundred twenty-two billion, three hundred twenty-three million, two hundred twenty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 17 34 68 101 136 202 272 289 404 578 808 1156 1616 1717 2312 3434 4624 6868 13736 27472 29189 58378 116756 233512 467024 858890171 1717780342 3435560684 6871121368 13742242736 14601132907 29202265814 58404531628 86747907271 116809063256 173495814542 233618126512 248219259419 346991629084 496438518838 693983258168 992877037676 1387966516336 1474714423607 1985754075352 2949428847214 3971508150704 5898857694428 11797715388856 23595430777712 25070145201319 50140290402638 100280580805276 200561161610552 401122323221104