Search a number
-
+
114466535321556 = 223116730577423287
BaseRepresentation
bin11010000001101101010001…
…001011010010111111010100
3120000021220010122202101120210
4122001231101023102333110
5110000404431020242211
61043241111140525420
733052635311365215
oct3201552113227724
9500256118671523
10114466535321556
1133521a92064010
1210a0846b0b0870
134bb41c0102482
14203a2d1c5340c
15d3780d4459a6
hex681b512d2fd4

114466535321556 has 96 divisors (see below), whose sum is σ = 295728529001472. Its totient is φ = 34167916823040.

The previous prime is 114466535321507. The next prime is 114466535321561. The reversal of 114466535321556 is 655123535664411.

It is a super-2 number, since 2×1144665353215562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114466535321496 and 114466535321505.

It is a congruent 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, 270211345 + ... + 270634631.

It is an arithmetic number, because the mean of its divisors is an integer number (3080505510432).

Almost surely, 2114466535321556 is an apocalyptic number.

It is an amenable number.

114466535321556 is an abundant number, since it is smaller than the sum of its proper divisors (181261993679916).

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

114466535321556 is a wasteful number, since it uses less digits than its factorization.

114466535321556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453949 (or 453947 counting only the distinct ones).

The product of its digits is 38880000, while the sum is 57.

The spelling of 114466535321556 in words is "one hundred fourteen trillion, four hundred sixty-six billion, five hundred thirty-five million, three hundred twenty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 402 737 804 1474 2211 2948 4422 8844 30577 61154 91731 122308 183462 336347 366924 423287 672694 846574 1009041 1269861 1345388 1693148 2018082 2048659 2539722 4036164 4097318 4656157 5079444 6145977 8194636 9312314 12291954 13968471 18624628 22535249 24583908 27936942 28360229 45070498 55873884 56720458 67605747 85080687 90140996 113440916 135211494 170161374 270422988 311962519 340322748 623925038 935887557 1247850076 1871775114 3743550228 12942846599 25885693198 38828539797 51771386396 77657079594 142371312589 155314159188 284742625178 427113937767 569485250356 854227875534 867170722133 1708455751068 1734341444266 2601512166399 3468682888532 5203024332798 9538877943463 10406048665596 19077755886926 28616633830389 38155511773852 57233267660778 114466535321556