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114145444 = 22737239461
BaseRepresentation
bin1101100110110…
…11100010100100
321221210012010001
412303123202210
5213210123234
615154311044
72554135360
oct663334244
9257705101
10114145444
1159483186
1232288484
131a8571aa
14112342a0
15a04ad14
hex6cdb8a4

114145444 has 48 divisors (see below), whose sum is σ = 235952640. Its totient is φ = 47295360.

The previous prime is 114145433. The next prime is 114145489. The reversal of 114145444 is 444541411.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 247374 + ... + 247834.

It is an arithmetic number, because the mean of its divisors is an integer number (4915680).

Almost surely, 2114145444 is an apocalyptic number.

114145444 is a gapful number since it is divisible by the number (14) 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 114145444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117976320).

114145444 is an abundant number, since it is smaller than the sum of its proper divisors (121807196).

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

114145444 is a wasteful number, since it uses less digits than its factorization.

114145444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 746 counting only the distinct ones).

The product of its digits is 5120, while the sum is 28.

The square root of 114145444 is about 10683.8871203322. The cubic root of 114145444 is about 485.0868785449.

Adding to 114145444 its reverse (444541411), we get a palindrome (558686855).

The spelling of 114145444 in words is "one hundred fourteen million, one hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 37 74 148 239 259 461 478 518 922 956 1036 1673 1844 3227 3346 6454 6692 8843 12908 17057 17686 34114 35372 61901 68228 110179 119399 123802 220358 238798 247604 440716 477596 771253 1542506 3085012 4076623 8153246 16306492 28536361 57072722 114145444