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41242103232 = 2631156934319
BaseRepresentation
bin100110011010001110…
…001000110111000000
310221110020021220210220
4212122032020313000
51133430434300412
630540225223040
72660006044011
oct463216106700
9127406256726
1041242103232
1116544101640
127baba91a80
133b734c89a5
141dd353b008
151115a8c68c
hex99a388dc0

41242103232 has 112 divisors (see below), whose sum is σ = 119252390400. Its totient is φ = 12475279360.

The previous prime is 41242103191. The next prime is 41242103257. The reversal of 41242103232 is 23230124214.

It is a happy number.

It is a super-2 number, since 2×412421032322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184569 + ... + 1218887.

Almost surely, 241242103232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41242103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59626195200).

41242103232 is an abundant number, since it is smaller than the sum of its proper divisors (78010287168).

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

41242103232 is a wasteful number, since it uses less digits than its factorization.

41242103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34914 (or 34904 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 41242103232 its reverse (23230124214), we get a palindrome (64472227446).

The spelling of 41242103232 in words is "forty-one billion, two hundred forty-two million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 569 704 1056 1138 1707 2112 2276 3414 4552 6259 6828 9104 12518 13656 18208 18777 25036 27312 34319 36416 37554 50072 54624 68638 75108 100144 102957 109248 137276 150216 200288 205914 274552 300432 377509 400576 411828 549104 600864 755018 823656 1098208 1132527 1201728 1510036 1647312 2196416 2265054 3020072 3294624 4530108 6040144 6589248 9060216 12080288 18120432 19527511 24160576 36240864 39055022 58582533 72481728 78110044 117165066 156220088 214802621 234330132 312440176 429605242 468660264 624880352 644407863 859210484 937320528 1249760704 1288815726 1718420968 1874641056 2577631452 3436841936 3749282112 5155262904 6873683872 10310525808 13747367744 20621051616 41242103232