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114170320332 = 2232171989110321
BaseRepresentation
bin110101001010100010…
…1001101010111001100
3101220200201121012101200
41222111011031113030
53332310100222312
6124241002105500
711151150465525
oct1522505152714
9356621535350
10114170320332
1144468195542
121a1634ab290
13a9c64b3683
145750dd184c
152e832b30dc
hex1a9514d5cc

114170320332 has 144 divisors (see below), whose sum is σ = 325273384800. Its totient is φ = 33551400960.

The previous prime is 114170320307. The next prime is 114170320337. The reversal of 114170320332 is 233023071411.

It is a happy number.

114170320332 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 7 + 0 + 320 + 332 = 666.

It is a super-2 number, since 2×1141703203322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114170320296 and 114170320305.

It is not an unprimeable number, because it can be changed into a prime (114170320337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979732 + ... + 1090052.

It is an arithmetic number, because the mean of its divisors is an integer number (2258842950).

Almost surely, 2114170320332 is an apocalyptic number.

114170320332 is a gapful number since it is divisible by the number (12) 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 114170320332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162636692400).

114170320332 is an abundant number, since it is smaller than the sum of its proper divisors (211103064468).

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

114170320332 is a wasteful number, since it uses less digits than its factorization.

114170320332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110456 (or 110451 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 114170320332 its reverse (233023071411), we get a palindrome (347193391743).

The spelling of 114170320332 in words is "one hundred fourteen billion, one hundred seventy million, three hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 89 102 114 153 171 178 204 228 267 306 323 342 356 534 612 646 684 801 969 1068 1292 1513 1602 1691 1938 2907 3026 3204 3382 3876 4539 5073 5814 6052 6764 9078 10146 11628 13617 15219 18156 20292 27234 28747 30438 54468 57494 60876 86241 110321 114988 172482 220642 258723 330963 344964 441284 517446 661926 992889 1034892 1323852 1875457 1985778 2096099 3750914 3971556 4192198 5626371 6288297 7501828 8384396 9818569 11252742 12576594 16879113 18864891 19637138 22505484 25153188 29455707 33758226 35633683 37729782 39274276 58911414 67516452 71267366 75459564 88367121 106901049 117822828 142534732 166915673 176734242 186552811 213802098 320703147 333831346 353468484 373105622 427604196 500747019 559658433 641406294 667662692 746211244 1001494038 1119316866 1282812588 1502241057 1678975299 2002988076 2238633732 3004482114 3171397787 3357950598 6008964228 6342795574 6715901196 9514193361 12685591148 19028386722 28542580083 38056773444 57085160166 114170320332