Search a number
-
+
114204319789824 = 2832114506167921
BaseRepresentation
bin11001111101111001000011…
…111010011011001100000000
3112222100211022101222020011100
4121331321003322123030000
5104432110421331233244
61042520423520014400
733024663336215265
oct3175710372331400
9488324271866140
10114204319789824
1133430864247aa0
121098568b761400
134b955623470c4
14202b738d5b26c
15d30ab2ed4b69
hex67de43e9b300

114204319789824 has 108 divisors (see below), whose sum is σ = 359213682070152. Its totient is φ = 34607369625600.

The previous prime is 114204319789723. The next prime is 114204319789897. The reversal of 114204319789824 is 428987913402411.

114204319789824 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 0 + 431 + 97 + 8 + 98 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2253058617 + ... + 2253109304.

Almost surely, 2114204319789824 is an apocalyptic number.

It is an amenable number.

114204319789824 is an abundant number, since it is smaller than the sum of its proper divisors (245009362280328).

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

114204319789824 is a wasteful number, since it uses less digits than its factorization.

114204319789824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506167954 (or 4506167937 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 114204319789824 in words is "one hundred fourteen trillion, two hundred four billion, three hundred nineteen million, seven hundred eighty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 25344 4506167921 9012335842 13518503763 18024671684 27037007526 36049343368 40555511289 49567847131 54074015052 72098686736 81111022578 99135694262 108148030104 144197373472 148703541393 162222045156 198271388524 216296060208 288394746944 297407082786 324444090312 396542777048 432592120416 446110624179 576789493888 594814165572 648888180624 793085554096 865184240832 892221248358 1153578987776 1189628331144 1297776361248 1586171108192 1730368481664 1784442496716 2379256662288 2595552722496 3172342216384 3460736963328 3568884993432 4758513324576 5191105444992 6344684432768 7137769986864 9517026649152 10382210889984 12689368865536 14275539973728 19034053298304 28551079947456 38068106596608 57102159894912 114204319789824