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41226729408 = 263423345769
BaseRepresentation
bin100110011001010011…
…011111011111000000
310221102011100211220000
4212121103133133000
51133413020320113
630534515520000
72656431263244
oct463123373700
9127364324800
1041226729408
1116536460aa7
127ba68b9000
133b70275157
141dd1498424
151114552373
hex9994df7c0

41226729408 has 140 divisors (see below), whose sum is σ = 127522742160. Its totient is φ = 13144716288.

The previous prime is 41226729377. The next prime is 41226729433. The reversal of 41226729408 is 80492762214.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 53653 + ... + 292116.

Almost surely, 241226729408 is an apocalyptic number.

41226729408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41226729408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63761371080).

41226729408 is an abundant number, since it is smaller than the sum of its proper divisors (86296012752).

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

41226729408 is a wasteful number, since it uses less digits than its factorization.

41226729408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345816 (or 345797 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 41226729408 in words is "forty-one billion, two hundred twenty-six million, seven hundred twenty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9936 13248 14904 19872 29808 39744 59616 119232 345769 691538 1037307 1383076 2074614 2766152 3111921 4149228 5532304 6223842 7952687 8298456 9335763 11064608 12447684 15905374 16596912 18671526 22129216 23858061 24895368 28007289 31810748 33193824 37343052 47716122 49790736 56014578 63621496 66387648 71574183 74686104 95432244 99581472 112029156 127242992 143148366 149372208 190864488 199162944 214722549 224058312 254485984 286296732 298744416 381728976 429445098 448116624 508971968 572593464 597488832 644167647 763457952 858890196 896233248 1145186928 1288335294 1526915904 1717780392 1792466496 2290373856 2576670588 3435560784 4580747712 5153341176 6871121568 10306682352 13742243136 20613364704 41226729408