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114024411541520 = 2453167368317363
BaseRepresentation
bin11001111011010001100000…
…100010111011000000010000
3112221201121221021212021120122
4121323101200202323000100
5104421133443323312040
61042302031433525412
733005664133304654
oct3173214042730020
9487647837767518
10114024411541520
1133371532783267
1210956840873868
134b815c0718bcc
142022b4d406a64
15d2b0838a21b5
hex67b4608bb010

114024411541520 has 80 divisors (see below), whose sum is σ = 274065216655872. Its totient is φ = 44072896573440.

The previous prime is 114024411541459. The next prime is 114024411541531. The reversal of 114024411541520 is 25145114420411.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32489642 + ... + 35827721.

Almost surely, 2114024411541520 is an apocalyptic number.

114024411541520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114024411541520 is an abundant number, since it is smaller than the sum of its proper divisors (160040805114352).

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

114024411541520 is a wasteful number, since it uses less digits than its factorization.

114024411541520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68318080 (or 68318074 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

Adding to 114024411541520 its reverse (25145114420411), we get a palindrome (139169525961931).

The spelling of 114024411541520 in words is "one hundred fourteen trillion, twenty-four billion, four hundred eleven million, five hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 673 1240 1346 2480 2692 3365 5384 6730 10768 13460 20863 26920 41726 53840 83452 104315 166904 208630 333808 417260 834520 1669040 68317363 136634726 273269452 341586815 546538904 683173630 1093077808 1366347260 2117838253 2732694520 4235676506 5465389040 8471353012 10589191265 16942706024 21178382530 33885412048 42356765060 45977585299 84713530120 91955170598 169427060240 183910341196 229887926495 367820682392 459775852990 735641364784 919551705980 1425305144269 1839103411960 2850610288538 3678206823920 5701220577076 7126525721345 11402441154152 14253051442690 22804882308304 28506102885380 57012205770760 114024411541520