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3120144104 = 2371129389449
BaseRepresentation
bin1011100111111001…
…1001111011101000
322001110002202001202
42321332121323220
522342224102404
61233335303332
7140214534020
oct27176317350
98043082052
103120144104
1113612704a0
12730b1ab48
133a955bc1c
1421855ca80
15133dc721e
hexb9f99ee8

3120144104 has 128 divisors (see below), whose sum is σ = 7581600000. Its totient is φ = 1168097280.

The previous prime is 3120144091. The next prime is 3120144107. The reversal of 3120144104 is 4014410213.

It is not an unprimeable number, because it can be changed into a prime (3120144107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6948872 + ... + 6949320.

It is an arithmetic number, because the mean of its divisors is an integer number (59231250).

Almost surely, 23120144104 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 3120144104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790800000).

3120144104 is an abundant number, since it is smaller than the sum of its proper divisors (4461455896).

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

3120144104 is a wasteful number, since it uses less digits than its factorization.

3120144104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3120144104 is about 55858.2500979041. The cubic root of 3120144104 is about 1461.2512111439.

Adding to 3120144104 its reverse (4014410213), we get a palindrome (7134554317).

The spelling of 3120144104 in words is "three billion, one hundred twenty million, one hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 29 44 56 58 77 88 116 154 203 232 308 319 389 406 449 616 638 778 812 898 1276 1556 1624 1796 2233 2552 2723 3112 3143 3592 4279 4466 4939 5446 6286 8558 8932 9878 10892 11281 12572 13021 17116 17864 19756 21784 22562 25144 26042 29953 34232 34573 39512 45124 52084 59906 69146 78967 90248 91147 104168 119812 124091 138292 143231 157934 174661 182294 239624 248182 276584 286462 315868 349322 364588 496364 572924 631736 698644 729176 868637 992728 1002617 1145848 1222627 1397288 1737274 1921271 2005234 2445254 3474548 3842542 4010468 4890508 5065169 6949096 7685084 8020936 9781016 10130338 13448897 15370168 20260676 26897794 35456183 40521352 53795588 55716859 70912366 107591176 111433718 141824732 222867436 283649464 390018013 445734872 780036026 1560072052 3120144104