Search a number
-
+
114236780544 = 21235114773
BaseRepresentation
bin110101001100100001…
…0101111000000000000
3101220212100122201200000
41222121002233000000
53332424103434134
6124251334400000
711152615420215
oct1523102570000
9356770581600
10114236780544
11444a1759037
121a181800000
13aa071b2c43
145759b71b0c
152e8903ee99
hex1a990af000

114236780544 has 156 divisors (see below), whose sum is σ = 342201435576. Its totient is φ = 38078595072.

The previous prime is 114236780519. The next prime is 114236780587. The reversal of 114236780544 is 445087632411.

114236780544 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 36 + 78 + 0 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114236780544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 937942 + ... + 1052714.

It is an arithmetic number, because the mean of its divisors is an integer number (2193598946).

Almost surely, 2114236780544 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 114236780544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171100717788).

114236780544 is an abundant number, since it is smaller than the sum of its proper divisors (227964655032).

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

114236780544 is an frugal number, since it uses more digits than its factorization.

114236780544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114812 (or 114778 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 114236780544 in words is "one hundred fourteen billion, two hundred thirty-six million, seven hundred eighty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4096 4608 5184 6144 6912 7776 9216 10368 12288 13824 15552 18432 20736 27648 31104 36864 41472 55296 62208 82944 110592 114773 124416 165888 229546 248832 331776 344319 459092 497664 688638 918184 995328 1032957 1377276 1836368 2065914 2754552 3098871 3672736 4131828 5509104 6197742 7345472 8263656 9296613 11018208 12395484 14690944 16527312 18593226 22036416 24790968 27889839 29381888 33054624 37186452 44072832 49581936 55779678 58763776 66109248 74372904 88145664 99163872 111559356 117527552 132218496 148745808 176291328 198327744 223118712 235055104 264436992 297491616 352582656 396655488 446237424 470110208 528873984 594983232 705165312 793310976 892474848 1057747968 1189966464 1410330624 1586621952 1784949696 2115495936 2379932928 3173243904 3569899392 4230991872 4759865856 6346487808 7139798784 9519731712 12692975616 14279597568 19039463424 28559195136 38078926848 57118390272 114236780544