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114340055312 = 24719292836547
BaseRepresentation
bin110101001111100110…
…0101100100100010000
3101221010112222122000102
41222133030230210100
53333132023232222
6124305504111532
711155311301640
oct1523714544420
9357115878012
10114340055312
1144544a8698a
121a1b03055a8
13aa22702182
145769776520
152e9313ed92
hex1a9f32c910

114340055312 has 160 divisors (see below), whose sum is σ = 276713241600. Its totient is φ = 44657754624.

The previous prime is 114340055287. The next prime is 114340055363. The reversal of 114340055312 is 213550043411.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17461223 + ... + 17467769.

It is an arithmetic number, because the mean of its divisors is an integer number (1729457760).

Almost surely, 2114340055312 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 114340055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138356620800).

114340055312 is an abundant number, since it is smaller than the sum of its proper divisors (162373186288).

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

114340055312 is a wasteful number, since it uses less digits than its factorization.

114340055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6887 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 114340055312 its reverse (213550043411), we get a palindrome (327890098723).

The spelling of 114340055312 in words is "one hundred fourteen billion, three hundred forty million, fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 56 58 76 112 116 133 152 203 232 266 283 304 406 464 532 551 566 812 1064 1102 1132 1624 1981 2128 2204 2264 3248 3857 3962 4408 4528 5377 6547 7714 7924 8207 8816 10754 13094 15428 15848 16414 21508 26188 30856 31696 32828 37639 43016 45829 52376 57449 61712 65656 75278 86032 91658 104752 114898 124393 131312 150556 155933 183316 189863 229796 248786 301112 311866 366632 379726 459592 497572 602224 623732 733264 759452 870751 919184 995144 1091531 1247464 1329041 1518904 1741502 1852801 1990288 2183062 2494928 2658082 3037808 3483004 3607397 3705602 4366124 5316164 6966008 7214794 7411204 8732248 10632328 12969607 13932016 14429588 14822408 17464496 21264656 25251779 25939214 28859176 29644816 35203219 50503558 51878428 53731229 57718352 70406438 101007116 103756856 107462458 140812876 202014232 207513712 214924916 246422533 281625752 376118603 404028464 429849832 492845066 563251504 752237206 859699664 985690132 1020893351 1504474412 1971380264 2041786702 3008948824 3942760528 4083573404 6017897648 7146253457 8167146808 14292506914 16334293616 28585013828 57170027656 114340055312