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114440148 = 22332961599
BaseRepresentation
bin1101101001000…
…11011111010100
321222100011101000
412310203133110
5213244041043
615204503300
72556503514
oct664433724
9258304330
10114440148
1159664639
12323aab30
131a92b384
14112ad844
15a0a82d3
hex6d237d4

114440148 has 96 divisors (see below), whose sum is σ = 312480000. Its totient is φ = 36167040.

The previous prime is 114440147. The next prime is 114440153. The reversal of 114440148 is 841044411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114440147) 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, 190753 + ... + 191351.

It is an arithmetic number, because the mean of its divisors is an integer number (3255000).

Almost surely, 2114440148 is an apocalyptic number.

114440148 is a gapful number since it is divisible by the number (18) 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 114440148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

114440148 is an abundant number, since it is smaller than the sum of its proper divisors (198039852).

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

114440148 is a wasteful number, since it uses less digits than its factorization.

114440148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 114440148 is about 10697.6702136493. The cubic root of 114440148 is about 485.5039902123.

Adding to 114440148 its reverse (841044411), we get a palindrome (955484559).

The spelling of 114440148 in words is "one hundred fourteen million, four hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 61 87 108 116 122 174 183 244 261 348 366 522 549 599 732 783 1044 1098 1198 1566 1647 1769 1797 2196 2396 3132 3294 3538 3594 5307 5391 6588 7076 7188 10614 10782 15921 16173 17371 21228 21564 31842 32346 34742 36539 47763 52113 63684 64692 69484 73078 95526 104226 109617 146156 156339 191052 208452 219234 312678 328851 438468 469017 625356 657702 938034 986553 1059631 1315404 1876068 1973106 2119262 3178893 3946212 4238524 6357786 9536679 12715572 19073358 28610037 38146716 57220074 114440148