Search a number
-
+
41776022442 = 237112913032393
BaseRepresentation
bin100110111010000010…
…111000001110101010
310222211102221211021110
4212322002320032222
51141024130204232
631105221051150
73006151221540
oct467202701652
9128742854243
1041776022442
1116798525a90
12811a856ab6
133c29cc890b
142044401d90
1511478a5acc
hex9ba0b83aa

41776022442 has 128 divisors (see below), whose sum is σ = 107888578560. Its totient is φ = 10464330240.

The previous prime is 41776022401. The next prime is 41776022459. The reversal of 41776022442 is 24422067714.

It is a self number, because there is not a number n which added to its sum of digits gives 41776022442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17456398 + ... + 17458790.

It is an arithmetic number, because the mean of its divisors is an integer number (842879520).

Almost surely, 241776022442 is an apocalyptic number.

41776022442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 41776022442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53944289280).

41776022442 is an abundant number, since it is smaller than the sum of its proper divisors (66112556118).

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

41776022442 is a wasteful number, since it uses less digits than its factorization.

41776022442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748.

The product of its (nonzero) digits is 150528, while the sum is 39.

The spelling of 41776022442 in words is "forty-one billion, seven hundred seventy-six million, twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 319 406 462 609 638 957 1218 1303 1914 2233 2393 2606 3909 4466 4786 6699 7179 7818 9121 13398 14333 14358 16751 18242 26323 27363 28666 33502 37787 42999 50253 52646 54726 69397 75574 78969 85998 100331 100506 113361 138794 157938 184261 200662 208191 226722 264509 300993 368522 415657 416382 485779 529018 552783 601986 763367 793527 831314 971558 1105566 1246971 1457337 1526734 1587054 2290101 2493942 2909599 2914674 3118079 4580202 5343569 5819198 6236158 8728797 9354237 10687138 16030707 17457594 18708474 21826553 32061414 34298869 43653106 65479659 68597738 90424291 102896607 130959318 180848582 205793214 240092083 271272873 480184166 542545746 632970037 720276249 994667201 1265940074 1440552498 1898910111 1989334402 2984001603 3797820222 5968003206 6962670407 13925340814 20888011221 41776022442