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4053125142 = 2341121712163
BaseRepresentation
bin1111000110010101…
…1100100000010110
3101110110200002110000
43301211130200112
531300100001032
61510104312130
7202303665243
oct36145344026
911413602400
104053125142
11179a979a00
12951472646
134c7932401
142a64225ca
1518ac6ae7c
hexf195c816

4053125142 has 120 divisors (see below), whose sum is σ = 10570783608. Its totient is φ = 1155876480.

The previous prime is 4053125129. The next prime is 4053125147. The reversal of 4053125142 is 2415213504.

4053125142 is a `hidden beast` number, since 40 + 531 + 2 + 51 + 42 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053125147) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 327153 + ... + 339315.

Almost surely, 24053125142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4053125142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5285391804).

4053125142 is an abundant number, since it is smaller than the sum of its proper divisors (6517658466).

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

4053125142 is a wasteful number, since it uses less digits than its factorization.

4053125142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12216 (or 12196 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4053125142 is about 63664.1590064614. The cubic root of 4053125142 is about 1594.3977432921.

Adding to 4053125142 its reverse (2415213504), we get a palindrome (6468338646).

The spelling of 4053125142 in words is "four billion, fifty-three million, one hundred twenty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 81 99 102 121 153 162 187 198 242 297 306 363 374 459 561 594 726 891 918 1089 1122 1377 1683 1782 2057 2178 2754 3267 3366 4114 5049 6171 6534 9801 10098 12163 12342 15147 18513 19602 24326 30294 36489 37026 55539 72978 109467 111078 133793 166617 206771 218934 267586 328401 333234 401379 413542 620313 656802 802758 985203 1204137 1240626 1471723 1860939 1970406 2274481 2408274 2943446 3612411 3721878 4415169 4548962 5582817 6823443 7224822 8830338 10837233 11165634 13245507 13646886 16748451 20470329 21674466 25019291 26491014 33496902 39736521 40940658 50038582 61410987 75057873 79473042 119209563 122821974 150115746 184232961 225173619 238419126 368465922 450347238 675520857 1351041714 2026562571 4053125142