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114240132531315 = 32573767146295719
BaseRepresentation
bin11001111110011010011010…
…100001001100010001110011
3112222111020202020221222211100
4121332122122201030101303
5104433202242412000230
61042545105315215443
733030401660413320
oct3176323241142163
9488436666858740
10114240132531315
1133444a7164180a
12109906052a7583
134b98a4ba622bb
14202d37538bb47
15d319ac0a7660
hex67e69a84c473

114240132531315 has 96 divisors (see below), whose sum is σ = 235889559659520. Its totient is φ = 50054202139392.

The previous prime is 114240132531313. The next prime is 114240132531347. The reversal of 114240132531315 is 513135231042411.

114240132531315 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 0 + 1 + 325 + 313 + 15 = 666.

It is not a de Polignac number, because 114240132531315 - 21 = 114240132531313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114240132531315.

It is not an unprimeable number, because it can be changed into a prime (114240132531313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72366975 + ... + 73928744.

It is an arithmetic number, because the mean of its divisors is an integer number (2457182913120).

Almost surely, 2114240132531315 is an apocalyptic number.

114240132531315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114240132531315 is an abundant number, since it is smaller than the sum of its proper divisors (121649427128205).

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

114240132531315 is a wasteful number, since it uses less digits than its factorization.

114240132531315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146295841 (or 146295838 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 114240132531315 its reverse (513135231042411), we get a palindrome (627375363573726).

The spelling of 114240132531315 in words is "one hundred fourteen trillion, two hundred forty billion, one hundred thirty-two million, five hundred thirty-one thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 37 45 63 67 105 111 185 201 259 315 333 335 469 555 603 777 1005 1295 1407 1665 2331 2345 2479 3015 3885 4221 7035 7437 11655 12395 17353 21105 22311 37185 52059 86765 111555 156177 260295 780885 146295719 438887157 731478595 1024070033 1316661471 2194435785 3072210099 5120350165 5412941603 6583307355 9216630297 9801813173 15361050495 16238824809 27064708015 29405439519 37890591221 46083151485 48716474427 49009065865 68612692211 81194124045 88216318557 113671773663 147027197595 189452956105 205838076633 243582372135 341015320989 343063461055 362667087401 441081592785 568358868315 617514229899 1029190383165 1088001262203 1705076604945 1813335437005 2538669611807 3087571149495 3264003786609 5440006311015 7616008835421 12693348059035 16320018933045 22848026506263 38080044177105 114240132531315