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109149444 = 22342397151
BaseRepresentation
bin1101000000101…
…11110100000100
321121101100220000
412200113310010
5210420240234
614455241300
72463516645
oct640276404
9247340800
10109149444
1156680658
1230679230
13197c8191
14106d36cc
1598b0899
hex6817d04

109149444 has 120 divisors (see below), whose sum is σ = 302805888. Its totient is φ = 34214400.

The previous prime is 109149431. The next prime is 109149449. The reversal of 109149444 is 444941901.

It is a super-2 number, since 2×1091494442 = 23827202251018272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109149399 and 109149408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109149449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 722769 + ... + 722919.

Almost surely, 2109149444 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 109149444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151402944).

109149444 is an abundant number, since it is smaller than the sum of its proper divisors (193656444).

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

109149444 is a wasteful number, since it uses less digits than its factorization.

109149444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 109149444 is about 10447.4611269916. The cubic root of 109149444 is about 477.9038280401.

The spelling of 109149444 in words is "one hundred nine million, one hundred forty-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 97 108 138 151 162 194 207 276 291 302 324 388 414 453 582 604 621 828 873 906 1164 1242 1359 1746 1812 1863 2231 2484 2619 2718 3473 3492 3726 4077 4462 5238 5436 6693 6946 7452 7857 8154 8924 10419 10476 12231 13386 13892 14647 15714 16308 20079 20838 24462 26772 29294 31257 31428 40158 41676 43941 48924 58588 60237 62514 80316 87882 93771 120474 125028 131823 175764 180711 187542 240948 263646 281313 336881 361422 375084 395469 527292 562626 673762 722844 790938 1010643 1125252 1186407 1347524 1581876 2021286 2372814 3031929 4042572 4745628 6063858 9095787 12127716 18191574 27287361 36383148 54574722 109149444