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114380335748 = 227172318015801
BaseRepresentation
bin110101010000110011…
…0010110101010000100
3101221020100210002101102
41222201212112222010
53333222331220443
6124313503315232
711156310545420
oct1524146265204
9357210702342
10114380335748
11445657991a8
121a2018abb18
13aa2ab66553
145770c5db80
152e96949cb8
hex1aa1996a84

114380335748 has 96 divisors (see below), whose sum is σ = 252932295168. Its totient is φ = 44098560000.

The previous prime is 114380335747. The next prime is 114380335757. The reversal of 114380335748 is 847533083411.

It is a happy number.

It is a super-2 number, since 2×1143803357482 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114380335747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19714448 + ... + 19720248.

It is an arithmetic number, because the mean of its divisors is an integer number (2634711408).

Almost surely, 2114380335748 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 114380335748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126466147584).

114380335748 is an abundant number, since it is smaller than the sum of its proper divisors (138551959420).

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

114380335748 is a wasteful number, since it uses less digits than its factorization.

114380335748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 114380335748 in words is "one hundred fourteen billion, three hundred eighty million, three hundred thirty-five thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 1801 2737 3602 5474 5801 7204 10948 11602 12607 23204 25214 30617 40607 41423 50428 61234 81214 82846 98617 122468 133423 162428 165692 197234 214319 266846 289961 394468 428638 533692 579922 690319 704191 857276 933961 1159844 1380638 1408382 1867922 2268191 2761276 2816764 3735844 4536382 4929337 9072764 9858674 10447601 15877337 19717348 20895202 31754674 41790404 63509348 73133207 146266414 177609217 240294823 292532828 355218434 480589646 710436868 961179292 1243264519 1682063761 2486529038 3364127522 4085011991 4973058076 6728255044 8170023982 16340047964 28595083937 57190167874 114380335748