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3144313242 = 2347371797
BaseRepresentation
bin1011101101101010…
…0110100110011010
322010010120122220000
42323122212212122
522414421010432
61240001313430
7140630136000
oct27332464632
98103518800
103144313242
111373979094
12739035876
133b1571ba5
1421b850a70
1513609d57c
hexbb6a699a

3144313242 has 160 divisors (see below), whose sum is σ = 8342611200. Its totient is φ = 884610720.

The previous prime is 3144313223. The next prime is 3144313267. The reversal of 3144313242 is 2423134413.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3944788 + ... + 3945584.

It is an arithmetic number, because the mean of its divisors is an integer number (52141320).

Almost surely, 23144313242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144313242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171305600).

3144313242 is an abundant number, since it is smaller than the sum of its proper divisors (5198297958).

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

3144313242 is an equidigital number, since it uses as much as digits as its factorization.

3144313242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 880 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 3144313242 is about 56074.1762489651. The cubic root of 3144313242 is about 1465.0145396484.

Adding to 3144313242 its reverse (2423134413), we get a palindrome (5567447655).

The spelling of 3144313242 in words is "three billion, one hundred forty-four million, three hundred thirteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 71 81 98 126 142 147 162 189 213 294 343 378 426 441 497 567 639 686 797 882 994 1029 1134 1278 1323 1491 1594 1917 2058 2391 2646 2982 3087 3479 3834 3969 4473 4782 5579 5751 6174 6958 7173 7938 8946 9261 10437 11158 11502 13419 14346 16737 18522 20874 21519 24353 26838 27783 31311 33474 39053 40257 43038 48706 50211 55566 56587 62622 64557 73059 78106 80514 93933 100422 113174 117159 129114 146118 150633 169761 187866 219177 234318 273371 281799 301266 339522 351477 396109 438354 451899 509283 546742 563598 657531 702954 792218 820113 903798 1018566 1054431 1188327 1315062 1527849 1640226 1972593 2108862 2376654 2460339 2772763 3055698 3163293 3564981 3945186 4583547 4920678 5545526 6326586 7129962 7381017 8318289 9167094 10694943 14762034 16636578 19409341 21389886 22143051 24954867 32084829 38818682 44286102 49909734 58228023 64169658 74864601 116456046 149729202 174684069 224593803 349368138 449187606 524052207 1048104414 1572156621 3144313242