[go: up one dir, main page]

Search a number
-
+
114414512 = 24232971151
BaseRepresentation
bin1101101000111…
…01001110110000
321222021212012112
412310131032300
5213242231022
615204144452
72556336002
oct664351660
9258255175
10114414512
1159647353
1232398128
131a91c7c4
14112a4372
15a0a08e2
hex6d1d3b0

114414512 has 80 divisors (see below), whose sum is σ = 244270080. Its totient is φ = 51744000.

The previous prime is 114414481. The next prime is 114414527. The reversal of 114414512 is 215414411.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 757637 + ... + 757787.

It is an arithmetic number, because the mean of its divisors is an integer number (3053376).

Almost surely, 2114414512 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 114414512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

114414512 is an abundant number, since it is smaller than the sum of its proper divisors (129855568).

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

114414512 is a wasteful number, since it uses less digits than its factorization.

114414512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 114414512 is about 10696.4719417198. The cubic root of 114414512 is about 485.4677345508.

Adding to 114414512 its reverse (215414411), we get a palindrome (329828923).

The spelling of 114414512 in words is "one hundred fourteen million, four hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 4 8 16 23 29 46 58 71 92 116 142 151 184 232 284 302 368 464 568 604 667 1136 1208 1334 1633 2059 2416 2668 3266 3473 4118 4379 5336 6532 6946 8236 8758 10672 10721 13064 13892 16472 17516 21442 26128 27784 32944 35032 42884 47357 55568 70064 85768 94714 100717 171536 189428 201434 246583 310909 378856 402868 493166 621818 757712 805736 986332 1243636 1611472 1972664 2487272 3945328 4974544 7150907 14301814 28603628 57207256 114414512