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41040434430 = 2345791793583
BaseRepresentation
bin100110001110001100…
…110101010011111110
310220221011211002020000
4212032030311103332
51133022322400210
630504222535130
72652006636222
oct461614652376
9126834732200
1041040434430
1116450289906
127b544374a6
133b407a8c38
141db4842782
151103003ac0
hex98e3354fe

41040434430 has 160 divisors (see below), whose sum is σ = 112405708800. Its totient is φ = 10742217408.

The previous prime is 41040434387. The next prime is 41040434431. The reversal of 41040434430 is 3443404014.

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

It is a junction number, because it is equal to n+sod(n) for n = 41040434394 and 41040434403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41040434431) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11452419 + ... + 11456001.

It is an arithmetic number, because the mean of its divisors is an integer number (702535680).

Almost surely, 241040434430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41040434430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56202854400).

41040434430 is an abundant number, since it is smaller than the sum of its proper divisors (71365274370).

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

41040434430 is a wasteful number, since it uses less digits than its factorization.

41040434430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 41040434430 its reverse (3443404014), we get a palindrome (44483838444).

The spelling of 41040434430 in words is "forty-one billion, forty million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 81 90 135 158 162 179 237 270 358 395 405 474 537 711 790 810 895 1074 1185 1422 1611 1790 2133 2370 2685 3222 3555 3583 4266 4833 5370 6399 7110 7166 8055 9666 10665 10749 12798 14141 14499 16110 17915 21330 21498 24165 28282 28998 31995 32247 35830 42423 48330 53745 63990 64494 70705 72495 84846 96741 107490 127269 141410 144990 161235 193482 212115 254538 283057 290223 322470 381807 424230 483705 566114 580446 636345 641357 763614 849171 967410 1145421 1272690 1282714 1415285 1451115 1698342 1909035 1924071 2290842 2547513 2830570 2902230 3206785 3818070 3848142 4245855 5095026 5727105 5772213 6413570 7642539 8491710 9620355 11454210 11544426 12737565 15285078 17316639 19240710 22927617 25475130 28861065 34633278 38212695 45855234 50667203 51949917 57722130 76425390 86583195 101334406 103899834 114638085 152001609 173166390 229276170 253336015 259749585 304003218 456004827 506672030 519499170 760008045 912009654 1368014481 1520016090 2280024135 2736028962 4104043443 4560048270 6840072405 8208086886 13680144810 20520217215 41040434430