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114443136 = 2732412423
BaseRepresentation
bin1101101001001…
…00001110000000
321222100022110200
412310210032000
5213244140021
615204525200
72556515313
oct664441600
9258308420
10114443136
1159666905
12323b0800
131a92c842
14112b097a
15a0a9126
hex6d24380

114443136 has 96 divisors (see below), whose sum is σ = 337493520. Its totient is φ = 37201920.

The previous prime is 114443117. The next prime is 114443149. The reversal of 114443136 is 631344411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46021 + ... + 48443.

Almost surely, 2114443136 is an apocalyptic number.

114443136 is a gapful number since it is divisible by the number (16) 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 114443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168746760).

114443136 is an abundant number, since it is smaller than the sum of its proper divisors (223050384).

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

114443136 is a wasteful number, since it uses less digits than its factorization.

114443136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2469 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 114443136 is about 10697.8098693144. The cubic root of 114443136 is about 485.5082156330.

Adding to 114443136 its reverse (631344411), we get a palindrome (745787547).

The spelling of 114443136 in words is "one hundred fourteen million, four hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2423 2624 2952 3936 4846 5248 5904 7269 7872 9692 11808 14538 15744 19384 21807 23616 29076 38768 43614 47232 58152 77536 87228 99343 116304 155072 174456 198686 232608 298029 310144 348912 397372 465216 596058 697824 794744 894087 930432 1192116 1395648 1589488 1788174 2384232 2791296 3178976 3576348 4768464 6357952 7152696 9536928 12715904 14305392 19073856 28610784 38147712 57221568 114443136