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401255215105332 = 223771657710229519
BaseRepresentation
bin101101100111100001000001…
…0100011111000010100110100
31221121201121211211221012100110
41123033002002203320110310
5410043131140031332312
63541222033454543020
7150342506201165010
oct13317020243702464
91847647754835313
10401255215105332
11106941421252645
1239005b47807a70
13142b8287179903
147112bdad59540
15315c88045543c
hex16cf0828f8534

401255215105332 has 96 divisors (see below), whose sum is σ = 1085249613127680. Its totient is φ = 113012441418240.

The previous prime is 401255215105211. The next prime is 401255215105363. The reversal of 401255215105332 is 233501512552104.

It is a super-2 number, since 2×4012552151053322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34110469 + ... + 44339987.

It is an arithmetic number, because the mean of its divisors is an integer number (11304683470080).

Almost surely, 2401255215105332 is an apocalyptic number.

401255215105332 is a gapful number since it is divisible by the number (42) 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 401255215105332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542624806563840).

401255215105332 is an abundant number, since it is smaller than the sum of its proper divisors (683994398022348).

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

401255215105332 is a wasteful number, since it uses less digits than its factorization.

401255215105332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10236181 (or 10236179 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

Adding to 401255215105332 its reverse (233501512552104), we get a palindrome (634756727657436).

The spelling of 401255215105332 in words is "four hundred one trillion, two hundred fifty-five billion, two hundred fifteen million, one hundred five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 6577 13154 19731 26308 39462 46039 78924 92078 138117 184156 276234 466967 552468 933934 1400901 1867868 2801802 3268769 5603604 6537538 9806307 10229519 13075076 19612614 20459038 30688557 39225228 40918076 61377114 71606633 122754228 143213266 214819899 286426532 429639798 726295849 859279596 1452591698 2178887547 2905183396 4357775094 5084070943 8715550188 10168141886 15252212829 20336283772 30504425658 61008851316 67279546463 134559092926 201838639389 269118185852 403677278778 470956825241 807354557556 941913650482 1412870475723 1883827300964 2825740951446 4776847798873 5651481902892 9553695597746 14330543396619 19107391195492 28661086793238 33437934592111 57322173586476 66875869184222 100313803776333 133751738368444 200627607552666 401255215105332