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114005433402 = 232722343312979
BaseRepresentation
bin110101000101101000…
…0001101110000111010
3101220021020100002001100
41222023100031300322
53331440342332102
6124212352032230
711144106123600
oct1521320156072
9356236302040
10114005433402
1144393105553
121a118232676
13a99b2a1743
14573714d870
152e73a92a1c
hex1a8b40dc3a

114005433402 has 144 divisors (see below), whose sum is σ = 300548888640. Its totient is φ = 31082413824.

The previous prime is 114005433401. The next prime is 114005433457. The reversal of 114005433402 is 204334500411.

It is a happy number.

114005433402 is a `hidden beast` number, since 114 + 0 + 0 + 543 + 3 + 4 + 0 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (114005433401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8777349 + ... + 8790327.

It is an arithmetic number, because the mean of its divisors is an integer number (2087145060).

Almost surely, 2114005433402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114005433402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150274444320).

114005433402 is an abundant number, since it is smaller than the sum of its proper divisors (186543455238).

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

114005433402 is a wasteful number, since it uses less digits than its factorization.

114005433402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13457 (or 13447 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 114005433402 its reverse (204334500411), we get a palindrome (318339933813).

The spelling of 114005433402 in words is "one hundred fourteen billion, five million, four hundred thirty-three thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 433 441 483 866 882 966 1127 1299 1449 2254 2598 2898 3031 3381 3897 6062 6762 7794 9093 9959 10143 12979 18186 19918 20286 21217 25958 27279 29877 38937 42434 54558 59754 63651 69713 77874 89631 90853 116811 127302 139426 179262 181706 190953 209139 233622 272559 298517 381906 418278 487991 545118 597034 627417 635971 817677 895551 975982 1254834 1271942 1463973 1635354 1791102 1907913 2089619 2686653 2927946 3815826 4179238 4391919 5373306 5619907 5723739 6268857 8783838 11239814 11447478 12537714 14627333 16859721 18806571 29254666 33719442 37613142 39339349 43881999 50579163 78678698 87763998 101158326 118018047 129257861 131645997 236036094 258515722 263291994 275375443 354054141 387773583 550750886 708108282 775547166 826126329 904805027 1163320749 1652252658 1809610054 2326641498 2478378987 2714415081 4956757974 5428830162 6333635189 8143245243 12667270378 16286490486 19000905567 38001811134 57002716701 114005433402