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114000543234 = 236237147881
BaseRepresentation
bin110101000101011110…
…1100011111000000010
3101220020220010122000000
41222022331203320002
53331433114340414
6124212055140430
711144016425544
oct1521275437002
9356226118000
10114000543234
1144390375496
121a116674716
13a99a27b956
145736639694
152e73428b09
hex1a8af63e02

114000543234 has 112 divisors (see below), whose sum is σ = 271304774784. Its totient is φ = 35835307200.

The previous prime is 114000543203. The next prime is 114000543263. The reversal of 114000543234 is 432345000411.

It is a happy number.

114000543234 is a `hidden beast` number, since 114 + 0 + 0 + 0 + 543 + 2 + 3 + 4 = 666.

It is a super-3 number, since 3×1140005432343 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114000543198 and 114000543207.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2356974 + ... + 2404854.

Almost surely, 2114000543234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114000543234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135652387392).

114000543234 is an abundant number, since it is smaller than the sum of its proper divisors (157304231550).

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

114000543234 is an equidigital number, since it uses as much as digits as its factorization.

114000543234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47995 (or 47980 counting only the distinct ones).

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

Adding to 114000543234 its reverse (432345000411), we get a palindrome (546345543645).

The spelling of 114000543234 in words is "one hundred fourteen billion, five hundred forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 71 81 138 142 162 207 213 243 414 426 486 621 639 729 1242 1278 1458 1633 1863 1917 3266 3726 3834 4899 5589 5751 9798 11178 11502 14697 16767 17253 29394 33534 34506 44091 47881 51759 88182 95762 103518 132273 143643 264546 287286 396819 430929 793638 861858 1101263 1190457 1292787 2202526 2380914 2585574 3303789 3399551 3878361 6607578 6799102 7756722 9911367 10198653 11635083 19822734 20397306 23270166 29734101 30595959 34905249 59468202 61191918 69810498 78189673 89202303 91787877 156379346 178404606 183575754 234569019 267606909 275363631 469138038 535213818 550727262 703707057 802820727 826090893 1407414114 1605641454 1652181786 2111121171 2478272679 4222242342 4956545358 6333363513 12666727026 19000090539 38000181078 57000271617 114000543234