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41230433140 = 22513261311643
BaseRepresentation
bin100110011001100001…
…100111101101110100
310221102102100000110021
4212121201213231310
51133414442330030
630535131134524
72656504620301
oct463141475564
9127372300407
1041230433140
1116538560736
127ba7ba4444
133b70c70c00
141dd1b800a8
151114a3497a
hex999867b74

41230433140 has 144 divisors (see below), whose sum is σ = 95748621696. Its totient is φ = 14902617600.

The previous prime is 41230433137. The next prime is 41230433141. The reversal of 41230433140 is 4133403214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41230433141) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 64121659 + ... + 64122301.

It is an arithmetic number, because the mean of its divisors is an integer number (664920984).

Almost surely, 241230433140 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 41230433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47874310848).

41230433140 is an abundant number, since it is smaller than the sum of its proper divisors (54518188556).

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

41230433140 is a wasteful number, since it uses less digits than its factorization.

41230433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 41230433140 its reverse (4133403214), we get a palindrome (45363836354).

The spelling of 41230433140 in words is "forty-one billion, two hundred thirty million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 169 244 260 305 311 338 610 622 643 676 793 845 1220 1244 1286 1555 1586 1690 2572 3110 3172 3215 3380 3965 4043 6220 6430 7930 8086 8359 10309 12860 15860 16172 16718 18971 20215 20618 33436 37942 39223 40430 41236 41795 51545 52559 75884 78446 80860 83590 94855 103090 105118 108667 156892 167180 189710 196115 199973 206180 210236 217334 246623 262795 379420 392230 399946 434668 493246 509899 525590 543335 784460 799892 986492 999865 1019798 1051180 1086670 1233115 1999730 2039596 2173340 2466230 2549495 2599649 3206099 3999460 4932460 5098990 5199298 6412198 6628687 10197980 10398596 12198353 12824396 12998245 13257374 16030495 24396706 25996490 26514748 32060990 33143435 33795437 48793412 51992980 60991765 64121980 66286870 67590874 121983530 132573740 135181748 158578589 168977185 243967060 317157178 337954370 634314356 675908740 792892945 1585785890 2061521657 3171571780 4123043314 8246086628 10307608285 20615216570 41230433140