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14754309444 = 22327273114577
BaseRepresentation
bin11011011110110110…
…01110010101000100
31102002020211120121100
431233123032111010
5220204100400234
610440020020100
71031424363300
oct155733162504
942066746540
1014754309444
116291472076
122a39231630
131511985024
149dd74ad00
155b5482399
hex36f6ce544

14754309444 has 108 divisors (see below), whose sum is σ = 43979390364. Its totient is φ = 4157733888.

The previous prime is 14754309421. The next prime is 14754309461. The reversal of 14754309444 is 44490345741.

14754309444 is a `hidden beast` number, since 14 + 7 + 543 + 0 + 94 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11605752900 + 3148556544 = 107730^2 + 56112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14754309444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71484 + ... + 186060.

Almost surely, 214754309444 is an apocalyptic number.

14754309444 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 14754309444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21989695182).

14754309444 is an abundant number, since it is smaller than the sum of its proper divisors (29225080920).

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

14754309444 is a wasteful number, since it uses less digits than its factorization.

14754309444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114674 (or 114662 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 14754309444 in words is "fourteen billion, seven hundred fifty-four million, three hundred nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 73 84 98 126 146 147 196 219 252 292 294 438 441 511 588 657 876 882 1022 1314 1533 1764 2044 2628 3066 3577 4599 6132 7154 9198 10731 14308 18396 21462 32193 42924 64386 114577 128772 229154 343731 458308 687462 802039 1031193 1374924 1604078 2062386 2406117 3208156 4124772 4812234 5614273 7218351 8364121 9624468 11228546 14436702 16728242 16842819 22457092 25092363 28873404 33456484 33685638 50184726 50528457 58548847 67371276 75277089 100369452 101056914 117097694 150554178 175646541 202113828 234195388 301108356 351293082 409841929 526939623 702586164 819683858 1053879246 1229525787 1639367716 2107758492 2459051574 3688577361 4918103148 7377154722 14754309444