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114400242 = 233111711329
BaseRepresentation
bin1101101000110…
…01101111110010
321222021010122000
412310121233302
5213241301432
615203554430
72556246255
oct664315762
9258233560
10114400242
1159637660
123238ba16
131a916168
141129d09c
15a09b57c
hex6d19bf2

114400242 has 64 divisors (see below), whose sum is σ = 293673600. Its totient is φ = 32624640.

The previous prime is 114400217. The next prime is 114400249. The reversal of 114400242 is 242004411.

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 (114400249) 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, 4434 + ... + 15762.

It is an arithmetic number, because the mean of its divisors is an integer number (4588650).

Almost surely, 2114400242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114400242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146836800).

114400242 is an abundant number, since it is smaller than the sum of its proper divisors (179273358).

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

114400242 is a wasteful number, since it uses less digits than its factorization.

114400242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11368 (or 11362 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114400242 is about 10695.8048785493. The cubic root of 114400242 is about 485.4475508857.

Adding to 114400242 its reverse (242004411), we get a palindrome (356404653).

The spelling of 114400242 in words is "one hundred fourteen million, four hundred thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 11329 22658 33987 67974 101961 124619 192593 203922 249238 305883 373857 385186 577779 611766 747714 1121571 1155558 1733337 2118523 2243142 3364713 3466674 4237046 5200011 6355569 6729426 10400022 12711138 19066707 38133414 57200121 114400242