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14149044 = 22327213617
BaseRepresentation
bin110101111110…
…010110110100
3222121211211200
4311332112310
512110232134
61223132500
7231156600
oct65762664
928554750
1014149044
117a94428
1248a4130
132c15220
141c44500
151397499
hexd7e5b4

14149044 has 108 divisors (see below), whose sum is σ = 44877924. Its totient is φ = 3725568.

The previous prime is 14149033. The next prime is 14149063. The reversal of 14149044 is 44094141.

It can be written as a sum of positive squares in 2 ways, for example, as 1102500 + 13046544 = 1050^2 + 3612^2 .

It is a super-2 number, since 2×141490442 = 400390892227872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14148999 and 14149017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22624 + ... + 23240.

Almost surely, 214149044 is an apocalyptic number.

14149044 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 14149044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438962).

14149044 is an abundant number, since it is smaller than the sum of its proper divisors (30728880).

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

14149044 is a wasteful number, since it uses less digits than its factorization.

14149044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14149044 is about 3761.5215006696. The cubic root of 14149044 is about 241.8664882929.

The spelling of 14149044 in words is "fourteen million, one hundred forty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 617 637 819 882 1092 1234 1274 1638 1764 1851 1911 2468 2548 3276 3702 3822 4319 5553 5733 7404 7644 8021 8638 11106 11466 12957 16042 17276 22212 22932 24063 25914 30233 32084 38871 48126 51828 56147 60466 72189 77742 90699 96252 112294 120932 144378 155484 168441 181398 224588 272097 288756 336882 362796 393029 505323 544194 673764 786058 1010646 1088388 1179087 1572116 2021292 2358174 3537261 4716348 7074522 14149044