Search a number
-
+
114561006364231 = 72193371136932117
BaseRepresentation
bin11010000011000101010000…
…000101101110011001000111
3120000121220222111200121020021
4122003011100011232121013
5110003431420112123411
61043352333315120011
733062521351115500
oct3203052005563107
9500556874617207
10114561006364231
1133559060547699
1210a228352a3007
134bc00972cca1b
142040ad487dba7
15d39edc090a71
hex68315016e647

114561006364231 has 48 divisors (see below), whose sum is σ = 140711797231200. Its totient is φ = 92739892267008.

The previous prime is 114561006364183. The next prime is 114561006364241. The reversal of 114561006364231 is 132463600165411.

It is not a de Polignac number, because 114561006364231 - 227 = 114560872146503 is a prime.

It is a super-2 number, since 2×1145610063642312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114561006364241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3566973585 + ... + 3567005701.

It is an arithmetic number, because the mean of its divisors is an integer number (2931495775650).

Almost surely, 2114561006364231 is an apocalyptic number.

114561006364231 is a deficient number, since it is larger than the sum of its proper divisors (26150790866969).

114561006364231 is a wasteful number, since it uses less digits than its factorization.

114561006364231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43856 (or 43849 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 114561006364231 in words is "one hundred fourteen trillion, five hundred sixty-one billion, six million, three hundred sixty-four thousand, two hundred thirty-one".

Divisors: 1 7 19 49 133 337 931 2359 6403 11369 16513 32117 44821 79583 216011 224819 313747 557081 610223 1512077 1573733 3831353 4271561 10584539 10823429 26819471 29900927 72795707 75764003 187736297 205645151 365138173 509569949 530348021 1439516057 2555967211 3566989643 6937625287 10076612399 17891770477 48563377009 123051564301 339943639063 861360950107 2337979721719 6029526650749 16365858052033 114561006364231