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31481050041 = 3274172712
BaseRepresentation
bin11101010100011010…
…101011001110111001
310000020222011001002100
4131110122223032321
51003433122100131
622243500054013
72163062340000
oct352432531671
9100228131070
1031481050041
1112395260931
126126b34309
132c79180b7c
141749017c37
15c43b7d7e6
hex7546ab3b9

31481050041 has 135 divisors (see below), whose sum is σ = 57157158383. Its totient is φ = 16692520320.

The previous prime is 31481050039. The next prime is 31481050043. The reversal of 31481050041 is 14005018413.

It is a happy number.

The square root of 31481050041 is 177429.

It is a perfect power (a square), and thus also a powerful number.

31481050041 is a `hidden beast` number, since 3 + 148 + 10 + 500 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (31481050039) and next prime (31481050043).

It can be written as a sum of positive squares in only one way, i.e., 24509468025 + 6971582016 = 156555^2 + 83496^2 .

It is not a de Polignac number, because 31481050041 - 21 = 31481050039 is a prime.

It is a super-2 number, since 2×314810500412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31481049987 and 31481050014.

It is not an unprimeable number, because it can be changed into a prime (31481050043) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 443395036 + ... + 443395106.

Almost surely, 231481050041 is an apocalyptic number.

31481050041 is the 177429-th square number.

31481050041 is the 88715-th centered octagonal number.

It is an amenable number.

31481050041 is a deficient number, since it is larger than the sum of its proper divisors (25676108342).

31481050041 is an frugal number, since it uses more digits than its factorization.

31481050041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 31481050041 its reverse (14005018413), we get a palindrome (45486068454).

The spelling of 31481050041 in words is "thirty-one billion, four hundred eighty-one million, fifty thousand, forty-one".

Divisors: 1 3 7 9 17 21 49 51 63 71 119 147 153 213 289 343 357 441 497 639 833 867 1029 1071 1207 1491 2023 2401 2499 2601 3087 3479 3621 4473 5041 5831 6069 7203 7497 8449 10437 10863 14161 15123 17493 18207 20519 21609 24353 25347 31311 35287 40817 42483 45369 52479 59143 61557 73059 76041 85697 99127 105861 122451 127449 143633 170471 177429 184671 219177 247009 257091 297381 317583 367353 414001 430899 511413 532287 599879 693889 741027 771273 892143 1005431 1242003 1292697 1456849 1534239 1729063 1799637 2081667 2223081 2898007 3016293 3726009 4199153 4370547 5187189 5398911 6245001 7038017 8694021 9048879 10197943 12103441 12597459 13111641 15561567 21114051 26082063 29394071 30593829 36310323 37792377 49266119 63342153 71385601 88182213 91781487 108930969 147798357 205758497 214156803 264546639 443395071 499699207 617275491 642470409 1499097621 1851826473 3497894449 4497292863 10493683347 31481050041