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42413412210 = 235131072813617
BaseRepresentation
bin100111100000000010…
…010100111101110010
311001110212022120122220
4213200002110331302
51143330313142320
631252350341510
73031021025001
oct474002247562
9131425276586
1042413412210
1116a952a1394
1282781ba896
133ccc085c20
1420a4d1cc38
15118380be40
hex9e0094f72

42413412210 has 128 divisors (see below), whose sum is σ = 111071326464. Its totient is φ = 10302996480.

The previous prime is 42413412199. The next prime is 42413412211. The reversal of 42413412210 is 1221431424.

It is not an unprimeable number, because it can be changed into a prime (42413412211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11724322 + ... + 11727938.

It is an arithmetic number, because the mean of its divisors is an integer number (867744738).

Almost surely, 242413412210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42413412210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55535663232).

42413412210 is an abundant number, since it is smaller than the sum of its proper divisors (68657914254).

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

42413412210 is a wasteful number, since it uses less digits than its factorization.

42413412210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 42413412210 its reverse (1221431424), we get a palindrome (43634843634).

The spelling of 42413412210 in words is "forty-two billion, four hundred thirteen million, four hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 195 214 281 321 390 535 562 642 843 1070 1391 1405 1605 1686 2782 2810 3210 3617 3653 4173 4215 6955 7234 7306 8346 8430 10851 10959 13910 18085 18265 20865 21702 21918 30067 36170 36530 41730 47021 54255 54795 60134 90201 94042 108510 109590 141063 150335 180402 235105 282126 300670 387019 390871 451005 470210 705315 774038 781742 902010 1016377 1161057 1172613 1410630 1935095 1954355 2032754 2322114 2345226 3049131 3870190 3908710 5031247 5081885 5805285 5863065 6098262 10062494 10163770 11610570 11726130 13212901 15093741 15245655 25156235 26425802 30187482 30491310 39638703 50312470 66064505 75468705 79277406 108752339 132129010 150937410 198193515 217504678 326257017 396387030 543761695 652514034 1087523390 1413780407 1631285085 2827560814 3262570170 4241341221 7068902035 8482682442 14137804070 21206706105 42413412210