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114044436 = 22341122909
BaseRepresentation
bin1101100110000…
…10111000010100
321221121001120000
412303002320110
5213143410221
615152211300
72553235032
oct663027024
9257531500
10114044436
1159414300
1232239b30
131a82021c
1411209552
15a02ae26
hex6cc2e14

114044436 has 90 divisors (see below), whose sum is σ = 327814410. Its totient is φ = 34547040.

The previous prime is 114044401. The next prime is 114044473. The reversal of 114044436 is 634440411.

It can be written as a sum of positive squares in only one way, i.e., 110124036 + 3920400 = 10494^2 + 1980^2 .

It is a super-2 number, since 2×1140444362 = 26012266765116192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 37750 + ... + 40658.

Almost surely, 2114044436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114044436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163907205).

114044436 is an abundant number, since it is smaller than the sum of its proper divisors (213769974).

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

114044436 is a wasteful number, since it uses less digits than its factorization.

114044436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 114044436 is about 10679.1589556481. The cubic root of 114044436 is about 484.9437508720.

Adding to 114044436 its reverse (634440411), we get a palindrome (748484847).

The spelling of 114044436 in words is "one hundred fourteen million, forty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 2909 3267 3564 4356 5818 6534 8727 9801 11636 13068 17454 19602 26181 31999 34908 39204 52362 63998 78543 95997 104724 127996 157086 191994 235629 287991 314172 351989 383988 471258 575982 703978 863973 942516 1055967 1151964 1407956 1727946 2111934 2591919 3167901 3455892 4223868 5183838 6335802 9503703 10367676 12671604 19007406 28511109 38014812 57022218 114044436