Search a number
-
+
310299274939932 = 223108315828149
BaseRepresentation
bin100011010001101110010111…
…0000011101000111000011100
31111200200022122222210000000000
41012203130232003220320130
5311132420403341034212
63015541304033534300
7122234245205143215
oct10643345603507034
91450608588700000
10310299274939932
118a964202244443
122a9760b3414390
131041b1330b71c5
14568a7ca68840c
1525d18e248d1dc
hex11a372e0e8e1c

310299274939932 has 132 divisors (see below), whose sum is σ = 824344677210600. Its totient is φ = 102186903363552.

The previous prime is 310299274939891. The next prime is 310299274939937. The reversal of 310299274939932 is 239939472992013.

310299274939932 is a `hidden beast` number, since 3 + 1 + 0 + 29 + 9 + 27 + 493 + 9 + 93 + 2 = 666.

It is a super-2 number, since 2×3102992749399322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310299274939937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 11690194 + ... + 27518342.

Almost surely, 2310299274939932 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 310299274939932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412172338605300).

310299274939932 is an abundant number, since it is smaller than the sum of its proper divisors (514045402270668).

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

310299274939932 is an equidigital number, since it uses as much as digits as its factorization.

310299274939932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828266 (or 15828237 counting only the distinct ones).

The product of its (nonzero) digits is 357128352, while the sum is 72.

The spelling of 310299274939932 in words is "three hundred ten trillion, two hundred ninety-nine billion, two hundred seventy-four million, nine hundred thirty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 243 249 324 332 486 498 729 747 972 996 1458 1494 2187 2241 2916 2988 4374 4482 6561 6723 8748 8964 13122 13446 19683 20169 26244 26892 39366 40338 59049 60507 78732 80676 118098 121014 181521 236196 242028 363042 544563 726084 1089126 1633689 2178252 3267378 4901067 6534756 9802134 15828149 19604268 31656298 47484447 63312596 94968894 142453341 189937788 284906682 427360023 569813364 854720046 1282080069 1313736367 1709440092 2564160138 2627472734 3846240207 3941209101 5128320276 5254945468 7692480414 7882418202 11538720621 11823627303 15384960828 15764836404 23077441242 23647254606 34616161863 35470881909 46154882484 47294509212 69232323726 70941763818 103848485589 106412645727 138464647452 141883527636 207696971178 212825291454 311545456767 319237937181 415393942356 425650582908 623090913534 638475874362 934636370301 957713811543 1246181827068 1276951748724 1869272740602 1915427623086 2873141434629 3738545481204 3830855246172 5746282869258 8619424303887 11492565738516 17238848607774 25858272911661 34477697215548 51716545823322 77574818734983 103433091646644 155149637469966 310299274939932