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114241014111504 = 243711031447213029
BaseRepresentation
bin11001111110011011001111…
…000100001001110100010000
3112222111100000200210220111110
4121332123033010021310100
5104433211044103032004
61042545333010413320
733030432553624050
oct3176331704116420
9488440020726443
10114241014111504
1133445384232a85
1210990810591240
134b98b5c5a9897
14202d41a4b1560
15d31a0e696589
hex67e6cf109d10

114241014111504 has 160 divisors (see below), whose sum is σ = 337823669329920. Its totient is φ = 32588007722496.

The previous prime is 114241014111379. The next prime is 114241014111517. The reversal of 114241014111504 is 405111410142411.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 536163262 + ... + 536376290.

It is an arithmetic number, because the mean of its divisors is an integer number (2111397933312).

Almost surely, 2114241014111504 is an apocalyptic number.

114241014111504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114241014111504 is an abundant number, since it is smaller than the sum of its proper divisors (223582655218416).

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

114241014111504 is a wasteful number, since it uses less digits than its factorization.

114241014111504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215597 (or 215591 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

Adding to 114241014111504 its reverse (405111410142411), we get a palindrome (519352424253915).

The spelling of 114241014111504 in words is "one hundred fourteen trillion, two hundred forty-one billion, fourteen million, one hundred eleven thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1103 1447 2206 2894 3309 4341 4412 5788 6618 7721 8682 8824 10129 11576 13236 15442 17364 17648 20258 23152 23163 26472 30387 30884 34728 40516 46326 52944 60774 61768 69456 81032 92652 121548 123536 162064 185304 213029 243096 370608 426058 486192 639087 852116 1278174 1491203 1596041 1704232 2556348 2982406 3192082 3408464 4473609 4788123 5112696 5964812 6384164 8947218 9576246 10225392 11172287 11929624 12768328 17894436 19152492 22344574 23859248 25536656 33516861 35788872 38304984 44689148 67033722 71577744 76609968 89378296 134067444 178756592 234970987 268134888 308252963 469941974 536269776 616505926 704912961 924758889 939883948 1233011852 1409825922 1644796909 1849517778 1879767896 2157770741 2466023704 2819651844 3289593818 3699035556 3759535792 4315541482 4932047408 4934390727 5639303688 6473312223 6579187636 7398071112 8631082964 9868781454 11278607376 12946624446 13158375272 14796142224 17262165928 19737562908 25893248892 26316750544 34524331856 39475125816 51786497784 78950251632 103572995568 340003018189 680006036378 1020009054567 1360012072756 2040018109134 2380021127323 2720024145512 4080036218268 4760042254646 5440048291024 7140063381969 8160072436536 9520084509292 14280126763938 16320144873072 19040169018584 28560253527876 38080338037168 57120507055752 114241014111504