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4144072660 = 22571321710303
BaseRepresentation
bin1111011100000001…
…1000011111010100
3101200210210200222121
43313000120133110
531441340311120
61523113505324
7204460015330
oct36700303724
911623720877
104144072660
111837248142
12977a12244
13510726700
142b45387c0
15193c335aa
hexf70187d4

4144072660 has 144 divisors (see below), whose sum is σ = 11404302336. Its totient is φ = 1234262016.

The previous prime is 4144072613. The next prime is 4144072661. The reversal of 4144072660 is 662704414.

4144072660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41440726602 = 34346676422718951200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144072661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397069 + ... + 407371.

It is an arithmetic number, because the mean of its divisors is an integer number (79196544).

Almost surely, 24144072660 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 4144072660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702151168).

4144072660 is an abundant number, since it is smaller than the sum of its proper divisors (7260229676).

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

4144072660 is a wasteful number, since it uses less digits than its factorization.

4144072660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10362 (or 10347 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 4144072660 is about 64374.4721143405. The cubic root of 4144072660 is about 1606.2351313355.

The spelling of 4144072660 in words is "four billion, one hundred forty-four million, seventy-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 17 20 26 28 34 35 52 65 68 70 85 91 119 130 140 169 170 182 221 238 260 338 340 364 442 455 476 595 676 845 884 910 1105 1183 1190 1547 1690 1820 2210 2366 2380 2873 3094 3380 4420 4732 5746 5915 6188 7735 10303 11492 11830 14365 15470 20111 20606 23660 28730 30940 40222 41212 51515 57460 72121 80444 100555 103030 133939 144242 175151 201110 206060 267878 288484 350302 360605 402220 535756 669695 700604 721210 875755 937573 1226057 1339390 1442420 1741207 1751510 1875146 2276963 2452114 2678780 3482414 3503020 3750292 4553926 4687865 4904228 6130285 6964828 8706035 9107852 9375730 11384815 12188449 12260570 15938741 17412070 18751460 22769630 24376898 24521140 29600519 31877482 34824140 45539260 48753796 59201038 60942245 63754964 79693705 118402076 121884490 148002595 159387410 207203633 243768980 296005190 318774820 414407266 592010380 828814532 1036018165 2072036330 4144072660