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41103430344 = 23338913611571
BaseRepresentation
bin100110010001111101…
…001001001011001000
310221002120100121101000
4212101331021023020
51133134434232334
630514353055000
72653403251614
oct462175111310
9127076317330
1041103430344
11164828a6649
127b71557460
133b50864722
141dbcd60344
1511087e9299
hex991f492c8

41103430344 has 128 divisors (see below), whose sum is σ = 115617456000. Its totient is φ = 13528627200.

The previous prime is 41103430339. The next prime is 41103430369. The reversal of 41103430344 is 44303430114.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26163079 + ... + 26164649.

It is an arithmetic number, because the mean of its divisors is an integer number (903261375).

Almost surely, 241103430344 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 41103430344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57808728000).

41103430344 is an abundant number, since it is smaller than the sum of its proper divisors (74514025656).

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

41103430344 is a wasteful number, since it uses less digits than its factorization.

41103430344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41103430344 its reverse (44303430114), we get a palindrome (85406860458).

The spelling of 41103430344 in words is "forty-one billion, one hundred three million, four hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1361 1571 1602 2136 2403 2722 3142 3204 4083 4713 4806 5444 6284 6408 8166 9426 9612 10888 12249 12568 14139 16332 18852 19224 24498 28278 32664 36747 37704 42417 48996 56556 73494 84834 97992 113112 121129 139819 146988 169668 242258 279638 293976 339336 363387 419457 484516 559276 726774 838914 969032 1090161 1118552 1258371 1453548 1677828 2138131 2180322 2516742 2907096 3270483 3355656 3775113 4276262 4360644 5033484 6414393 6540966 7550226 8552524 8721288 10066968 12828786 13081932 15100452 17105048 19243179 25657572 26163864 30200904 38486358 51315144 57729537 76972716 115459074 153945432 190293659 230918148 380587318 461836296 570880977 761174636 1141761954 1522349272 1712642931 2283523908 3425285862 4567047816 5137928793 6850571724 10275857586 13701143448 20551715172 41103430344