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41034233024 = 2623711991973
BaseRepresentation
bin100110001101110101…
…001011010011000000
310220220202011000111022
4212031311023103000
51133014230424044
630503442005012
72651603140301
oct461565132300
9126822130438
1041034233024
1116447833684
127b52346768
133b3c417375
141db3aaa7a8
1511026cb3ee
hex98dd4b4c0

41034233024 has 112 divisors (see below), whose sum is σ = 86641228800. Its totient is φ = 19241671680.

The previous prime is 41034232999. The next prime is 41034233033. The reversal of 41034233024 is 42033243014.

It is a junction number, because it is equal to n+sod(n) for n = 41034232984 and 41034233002.

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, 20796902 + ... + 20798874.

It is an arithmetic number, because the mean of its divisors is an integer number (773582400).

Almost surely, 241034233024 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 41034233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43320614400).

41034233024 is an abundant number, since it is smaller than the sum of its proper divisors (45606995776).

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

41034233024 is a wasteful number, since it uses less digits than its factorization.

41034233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 41034233024 its reverse (42033243014), we get a palindrome (83067476038).

The spelling of 41034233024 in words is "forty-one billion, thirty-four million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 142 184 199 284 368 398 568 736 796 1136 1472 1592 1633 1973 2272 3184 3266 3946 4544 4577 6368 6532 7892 9154 12736 13064 14129 15784 18308 26128 28258 31568 36616 45379 52256 56516 63136 73232 90758 104512 113032 126272 140083 146464 181516 226064 280166 292928 324967 363032 392627 452128 560332 649934 726064 785254 904256 1120664 1299868 1452128 1570508 2241328 2599736 2904256 3141016 3221909 4482656 5199472 6282032 6443818 8965312 9030421 10398944 12564064 12887636 18060842 20797888 25128128 25775272 27876517 36121684 51550544 55753034 72243368 103101088 111506068 144486736 206202176 223012136 288973472 446024272 577946944 641159891 892048544 1282319782 1784097088 2564639564 5129279128 10258558256 20517116512 41034233024