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41241422322 = 2343159181769
BaseRepresentation
bin100110011010001011…
…100010100111110010
310221110012000022210000
4212122023202213302
51133430301003242
630540202450430
72660000206602
oct463213424762
9127405008700
1041241422322
1116543787001
127bab803a16
133b7331aa99
141dd3400c02
1511159a5a4c
hex99a2e29f2

41241422322 has 160 divisors (see below), whose sum is σ = 97671974400. Its totient is φ = 12989030400.

The previous prime is 41241422219. The next prime is 41241422329. The reversal of 41241422322 is 22322414214.

It is a happy number.

41241422322 is a `hidden beast` number, since 4 + 1 + 2 + 414 + 223 + 22 = 666.

41241422322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (41241422329) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53629554 + ... + 53630322.

It is an arithmetic number, because the mean of its divisors is an integer number (610449840).

Almost surely, 241241422322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41241422322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48835987200).

41241422322 is an abundant number, since it is smaller than the sum of its proper divisors (56430552078).

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

41241422322 is a wasteful number, since it uses less digits than its factorization.

41241422322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1045 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 41241422322 its reverse (22322414214), we get a palindrome (63563836536).

The spelling of 41241422322 in words is "forty-one billion, two hundred forty-one million, four hundred twenty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 59 62 81 93 118 162 177 181 186 279 354 362 531 543 558 769 837 1062 1086 1538 1593 1629 1674 1829 2307 2511 3186 3258 3658 4614 4779 4887 5022 5487 5611 6921 9558 9774 10679 10974 11222 13842 14661 16461 16833 20763 21358 23839 29322 32037 32922 33666 41526 45371 47678 49383 50499 62289 64074 71517 90742 96111 98766 100998 124578 136113 139189 143034 148149 151497 192222 214551 272226 278378 288333 296298 302994 331049 408339 417567 429102 454491 576666 643653 662098 816678 835134 864999 908982 993147 1225017 1252701 1287306 1406501 1729998 1930959 1986294 2450034 2505402 2813002 2979441 3675051 3758103 3861918 4219503 4314859 5958882 7350102 7516206 8212151 8439006 8629718 8938323 11274309 12658509 12944577 16424302 17876646 22548618 24636453 25317018 25889154 26814969 37975527 38833731 49272906 53629938 73909359 75951054 77667462 113926581 116501193 147818718 221728077 227853162 233002386 254576681 349503579 443456154 509153362 665184231 699007158 763730043 1330368462 1527460086 2291190129 4582380258 6873570387 13747140774 20620711161 41241422322