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20114414544 = 243733313691
BaseRepresentation
bin10010101110111010…
…011001101111010000
31220220210211010111110
4102232322121233100
5312143242231134
613123533413320
71311311463000
oct225672315720
956823733443
1020114414544
1185920763a4
123a9433a240
131b872c7453
14d8b58a000
157cad1b7e9
hex4aee99bd0

20114414544 has 160 divisors (see below), whose sum is σ = 60796902400. Its totient is φ = 5728060800.

The previous prime is 20114414533. The next prime is 20114414591. The reversal of 20114414544 is 44541441102.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5447739 + ... + 5451429.

It is an arithmetic number, because the mean of its divisors is an integer number (379980640).

Almost surely, 220114414544 is an apocalyptic number.

20114414544 is a gapful number since it is divisible by the number (24) 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 20114414544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30398451200).

20114414544 is an abundant number, since it is smaller than the sum of its proper divisors (40682487856).

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

20114414544 is a wasteful number, since it uses less digits than its factorization.

20114414544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 20114414544 its reverse (44541441102), we get a palindrome (64655855646).

The spelling of 20114414544 in words is "twenty billion, one hundred fourteen million, four hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 331 336 343 392 588 662 686 784 993 1029 1176 1324 1372 1986 2058 2317 2352 2648 2744 3691 3972 4116 4634 5296 5488 6951 7382 7944 8232 9268 11073 13902 14764 15888 16219 16464 18536 22146 25837 27804 29528 32438 37072 44292 48657 51674 55608 59056 64876 77511 88584 97314 103348 111216 113533 129752 155022 177168 180859 194628 206696 227066 259504 310044 340599 361718 389256 413392 454132 542577 620088 681198 723436 778512 908264 1085154 1221721 1240176 1266013 1362396 1446872 1816528 2170308 2443442 2532026 2724792 2893744 3665163 3798039 4340616 4886884 5064052 5449584 7330326 7596078 8552047 8681232 9773768 10128104 14660652 15192156 17104094 19547536 20256208 25656141 29321304 30384312 34208188 51312282 58642608 59864329 60768624 68416376 102624564 119728658 136832752 179592987 205249128 239457316 359185974 410498256 419050303 478914632 718371948 838100606 957829264 1257150909 1436743896 1676201212 2514301818 2873487792 3352402424 5028603636 6704804848 10057207272 20114414544