Search a number
-
+
114326978599908 = 2232236711811744993
BaseRepresentation
bin11001111111101011010010…
…111100101001101111100100
3112222210112220201011101102100
4121333223102330221233210
5104441113123010144113
61043053031112012100
733036565052001504
oct3177532274515744
9488715821141370
10114326978599908
1133478887a15518
12109a5401991030
134ba3cac325879
142033653453a04
15d33d915d5d73
hex67fad2f29be4

114326978599908 has 144 divisors (see below), whose sum is σ = 306318312832896. Its totient is φ = 35877593917440.

The previous prime is 114326978599903. The next prime is 114326978599949. The reversal of 114326978599908 is 809995879623411.

114326978599908 is a `hidden beast` number, since 1 + 1 + 432 + 6 + 9 + 7 + 8 + 5 + 99 + 90 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (114326978599903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64644660 + ... + 66389652.

It is an arithmetic number, because the mean of its divisors is an integer number (2127210505784).

It is a 1-persistent number, because it is pandigital, but 2⋅114326978599908 = 228653957199816 is not.

Almost surely, 2114326978599908 is an apocalyptic number.

114326978599908 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114326978599908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153159156416448).

114326978599908 is an abundant number, since it is smaller than the sum of its proper divisors (191991334232988).

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

114326978599908 is a wasteful number, since it uses less digits than its factorization.

114326978599908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746274 (or 1746269 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 81.

The spelling of 114326978599908 in words is "one hundred fourteen trillion, three hundred twenty-six billion, nine hundred seventy-eight million, five hundred ninety-nine thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 67 69 92 134 138 201 207 268 276 402 414 603 804 828 1181 1206 1541 2362 2412 3082 3543 4623 4724 6164 7086 9246 10629 13869 14172 18492 21258 27163 27738 42516 54326 55476 79127 81489 108652 158254 162978 237381 244467 316508 325956 474762 488934 712143 949524 977868 1424286 1744993 1819921 2848572 3489986 3639842 5234979 5459763 6979972 7279684 10469958 10919526 15704937 16379289 20939916 21839052 31409874 32758578 40134839 62819748 65517156 80269678 116914531 120404517 160539356 233829062 240809034 350743593 361213551 467658124 481618068 701487186 722427102 1052230779 1402974372 1444854204 2060836733 2104461558 2689034213 4121673466 4208923116 5378068426 6182510199 8067102639 8243346932 10756136852 12365020398 16134205278 18547530597 24201307917 24730040796 32268410556 37095061194 47399244859 48402615834 74190122388 94798489718 96805231668 138076061111 142197734577 189596979436 276152122222 284395469154 414228183333 426593203731 552304244444 568790938308 828456366666 853186407462 1242684549999 1656912733332 1706372814924 2485369099998 3175749405553 4970738199996 6351498811106 9527248216659 12702997622212 19054496433318 28581744649977 38108992866636 57163489299954 114326978599908