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2042745138 = 2327192321613
BaseRepresentation
bin111100111000001…
…1101000100110010
312021100210012112100
41321300131010302
513140420321023
6534411041230
7101423022120
oct17160350462
95240705470
102042745138
11959092725
12490140216
13267292545
14155424910
15be507c43
hex79c1d132

2042745138 has 144 divisors (see below), whose sum is σ = 5569462080. Its totient is φ = 528555456.

The previous prime is 2042745137. The next prime is 2042745139. The reversal of 2042745138 is 8315472402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2042745137) and next prime (2042745139).

It is not an unprimeable number, because it can be changed into a prime (2042745137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1265620 + ... + 1267232.

It is an arithmetic number, because the mean of its divisors is an integer number (38676820).

Almost surely, 22042745138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042745138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784731040).

2042745138 is an abundant number, since it is smaller than the sum of its proper divisors (3526716942).

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

2042745138 is a wasteful number, since it uses less digits than its factorization.

2042745138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2042745138 is about 45196.7381345159. The cubic root of 2042745138 is about 1268.8337689099.

The spelling of 2042745138 in words is "two billion, forty-two million, seven hundred forty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 23 38 42 46 57 63 69 114 126 133 138 161 171 207 266 322 342 399 414 437 483 529 798 874 966 1058 1197 1311 1449 1587 1613 2394 2622 2898 3059 3174 3226 3703 3933 4761 4839 6118 7406 7866 9177 9522 9678 10051 11109 11291 14517 18354 20102 22218 22582 27531 29034 30153 30647 33327 33873 37099 55062 60306 61294 66654 67746 70357 74198 90459 91941 101619 111297 140714 180918 183882 203238 211071 214529 222594 259693 275823 333891 422142 429058 519386 551646 633213 643587 667782 704881 779079 853277 1266426 1287174 1409762 1558158 1706554 1930761 2114643 2337237 2559831 3861522 4229286 4674474 4934167 5119662 5972939 6343929 7679493 9868334 11945878 12687858 14802501 15358986 16212263 17918817 29605002 32424526 35837634 44407503 48636789 53756451 88815006 97273578 107512902 113485841 145910367 226971682 291820734 340457523 680915046 1021372569 2042745138