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114243021204352 = 2729472572547949
BaseRepresentation
bin11001111110011101000110…
…101100100110101110000000
3112222111112012120111210021121
4121332131012230212232000
5104433224201412014402
61042550304105402024
733030533364626515
oct3176350654465600
9488445176453247
10114243021204352
11334462141845a7
1210991090799314
134b990bc3684a1
14202d56ac9530c
15d31aca9aa837
hex67e746b26b80

114243021204352 has 128 divisors (see below), whose sum is σ = 241386667920000. Its totient is φ = 53768307081216.

The previous prime is 114243021204329. The next prime is 114243021204379. The reversal of 114243021204352 is 253402120342411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43563274 + ... + 46111222.

It is an arithmetic number, because the mean of its divisors is an integer number (1885833343125).

Almost surely, 2114243021204352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114243021204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120693333960000).

114243021204352 is an abundant number, since it is smaller than the sum of its proper divisors (127143646715648).

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

114243021204352 is a wasteful number, since it uses less digits than its factorization.

114243021204352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548296 (or 2548284 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 114243021204352 its reverse (253402120342411), we get a palindrome (367645141546763).

The spelling of 114243021204352 in words is "one hundred fourteen trillion, two hundred forty-three billion, twenty-one million, two hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 47 58 64 94 116 128 188 232 257 376 464 514 752 928 1028 1363 1504 1856 2056 2726 3008 3712 4112 5452 6016 7453 8224 10904 12079 14906 16448 21808 24158 29812 32896 43616 48316 59624 87232 96632 119248 174464 193264 238496 350291 386528 476992 700582 773056 953984 1401164 1546112 2547949 2802328 5095898 5604656 10191796 11209312 20383592 22418624 40767184 44837248 73890521 81534368 119753603 147781042 163068736 239507206 295562084 326137472 479014412 591124168 654822893 958028824 1182248336 1309645786 1916057648 2364496672 2619291572 3472854487 3832115296 4728993344 5238583144 6945708974 7664230592 9457986688 10477166288 13891417948 15328461184 18989863897 20954332576 27782835896 30776675971 37979727794 41908665152 55565671792 61553351942 75959455588 83817330304 111131343584 123106703884 151918911176 222262687168 246213407768 303837822352 444525374336 492426815536 607675644704 892523603159 984853631072 1215351289408 1785047206318 1969707262144 2430702578816 3570094412636 3939414524288 7140188825272 14280377650544 28560755301088 57121510602176 114243021204352