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114240020025558 = 237171931715111587
BaseRepresentation
bin11001111110011010010011…
…110100000001000011010110
3112222111020110102021002221110
4121332122103310001003112
5104433202030111304213
61042545050215555450
733030366123214230
oct3176322364010326
9488436412232843
10114240020025558
1133444a14089549
121099059368bb86
134b98a3166054b
14202d364463250
15d319a22825c3
hex67e693d010d6

114240020025558 has 128 divisors (see below), whose sum is σ = 276685788266496. Its totient is φ = 30697153344000.

The previous prime is 114240020025491. The next prime is 114240020025559. The reversal of 114240020025558 is 855520020042411.

It is a super-3 number, since 3×1142400200255583 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114240020025559) 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 63 ways as a sum of consecutive naturals, for example, 9859321041 + ... + 9859332627.

It is an arithmetic number, because the mean of its divisors is an integer number (2161607720832).

Almost surely, 2114240020025558 is an apocalyptic number.

114240020025558 is an abundant number, since it is smaller than the sum of its proper divisors (162445768240938).

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

114240020025558 is a wasteful number, since it uses less digits than its factorization.

114240020025558 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20698.

The product of its (nonzero) digits is 128000, while the sum is 39.

Adding to 114240020025558 its reverse (855520020042411), we get a palindrome (969760040067969).

The spelling of 114240020025558 in words is "one hundred fourteen trillion, two hundred forty billion, twenty million, twenty-five thousand, five hundred fifty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 1931 3862 5793 7151 11586 11587 13517 14302 21453 23174 27034 32827 34761 40551 42906 50057 65654 69522 81102 81109 98481 100114 121567 150171 162218 196962 196979 229789 243134 243327 300342 364701 393958 459578 486654 590937 689367 729402 850969 1181874 1378734 1378853 1701938 2552907 2757706 4136559 5105814 8273118 13808581 22374497 27617162 41425743 44748994 67123491 82851486 82858637 96660067 134246982 156621479 165717274 193320134 234745877 248575911 289980201 313242958 380366449 469491754 469864437 497151822 579960402 580010459 704237631 760732898 939728874 1141099347 1160020918 1408475262 1408596829 1643221139 1740031377 2282198694 2662565143 2817193658 3286442278 3480062754 4225790487 4929663417 5325130286 7987695429 8451580974 9859326834 9860177803 15975390858 19720355606 29580533409 59161066818 160000028047 320000056094 480000084141 960000168282 1120000196329 2240000392658 2720000476799 3360000588987 5440000953598 6720001177974 8160001430397 16320002860794 19040003337593 38080006675186 57120010012779 114240020025558