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4134277098 = 236741181
BaseRepresentation
bin1111011001101100…
…0000111111101010
3101200010101001000000
43312123000333222
531431333331343
61522123523430
7204310530000
oct36633007752
911603331000
104134277098
111831767636
12974689576
1350b6a6c13
142b3108a70
15192e4aed3
hexf66c0fea

4134277098 has 140 divisors (see below), whose sum is σ = 10856054178. Its totient is φ = 1180221840.

The previous prime is 4134277067. The next prime is 4134277111. The reversal of 4134277098 is 8907724314.

It can be written as a sum of positive squares in only one way, i.e., 2662250409 + 1472026689 = 51597^2 + 38367^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 3500068 + ... + 3501248.

Almost surely, 24134277098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134277098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428027089).

4134277098 is an abundant number, since it is smaller than the sum of its proper divisors (6721777080).

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

4134277098 is an frugal number, since it uses more digits than its factorization.

4134277098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 4134277098 is about 64298.3444421394. The cubic root of 4134277098 is about 1604.9685520959.

The spelling of 4134277098 in words is "four billion, one hundred thirty-four million, two hundred seventy-seven thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 343 378 441 486 567 686 729 882 1029 1134 1181 1323 1458 1701 2058 2362 2401 2646 3087 3402 3543 3969 4802 5103 6174 7086 7203 7938 8267 9261 10206 10629 11907 14406 16534 18522 21258 21609 23814 24801 27783 31887 35721 43218 49602 55566 57869 63774 64827 71442 74403 83349 95661 115738 129654 148806 166698 173607 191322 194481 223209 250047 286983 347214 388962 405083 446418 500094 520821 573966 583443 669627 810166 860949 1041642 1166886 1215249 1339254 1562463 1721898 1750329 2008881 2430498 2835581 3124926 3500658 3645747 4017762 4687389 5671162 6026643 7291494 8506743 9374778 10937241 12053286 14062167 17013486 21874482 25520229 28124334 32811723 42186501 51040458 65623446 76560687 84373002 98435169 153121374 196870338 229682061 295305507 459364122 590611014 689046183 1378092366 2067138549 4134277098