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114440112 = 24323747457
BaseRepresentation
bin1101101001000…
…11011110110000
321222100011022200
412310203132300
5213244040422
615204503200
72556503433
oct664433660
9258304280
10114440112
1159664606
12323aab00
131a92b357
14112ad81a
15a0a82ac
hex6d237b0

114440112 has 120 divisors (see below), whose sum is σ = 336662976. Its totient is φ = 36246528.

The previous prime is 114440099. The next prime is 114440113. The reversal of 114440112 is 211044411.

114440112 is a `hidden beast` number, since 114 + 440 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114440113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250188 + ... + 250644.

Almost surely, 2114440112 is an apocalyptic number.

114440112 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 114440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168331488).

114440112 is an abundant number, since it is smaller than the sum of its proper divisors (222222864).

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

114440112 is a wasteful number, since it uses less digits than its factorization.

114440112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114440112 is about 10697.6685310398. The cubic root of 114440112 is about 485.5039393032.

Adding to 114440112 its reverse (211044411), we get a palindrome (325484523).

The spelling of 114440112 in words is "one hundred fourteen million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 47 48 72 74 94 111 141 144 148 188 222 282 296 333 376 423 444 457 564 592 666 752 846 888 914 1128 1332 1371 1692 1739 1776 1828 2256 2664 2742 3384 3478 3656 4113 5217 5328 5484 6768 6956 7312 8226 10434 10968 13912 15651 16452 16909 20868 21479 21936 27824 31302 32904 33818 41736 42958 50727 62604 64437 65808 67636 83472 85916 101454 125208 128874 135272 152181 171832 193311 202908 250416 257748 270544 304362 343664 386622 405816 515496 608724 773244 794723 811632 1030992 1217448 1546488 1589446 2384169 2434896 3092976 3178892 4768338 6357784 7152507 9536676 12715568 14305014 19073352 28610028 38146704 57220056 114440112