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411122140 = 2251113433343
BaseRepresentation
bin11000100000010…
…011100111011100
31001122121011112221
4120200103213130
51320221402030
6104443435124
713121323552
oct3040234734
91048534487
10411122140
111a1082170
12b5825aa4
1367236b50
143c85bbd2
152615de7a
hex188139dc

411122140 has 96 divisors (see below), whose sum is σ = 1038191616. Its totient is φ = 134749440.

The previous prime is 411122111. The next prime is 411122143. The reversal of 411122140 is 41221114.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411122143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121309 + ... + 124651.

It is an arithmetic number, because the mean of its divisors is an integer number (10814496).

Almost surely, 2411122140 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 411122140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519095808).

411122140 is an abundant number, since it is smaller than the sum of its proper divisors (627069476).

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

411122140 is a wasteful number, since it uses less digits than its factorization.

411122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 411122140 is about 20276.1470698947. The cubic root of 411122140 is about 743.5730173241.

Adding to 411122140 its reverse (41221114), we get a palindrome (452343254).

The spelling of 411122140 in words is "four hundred eleven million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 43 44 52 55 65 86 110 130 143 172 215 220 260 286 430 473 559 572 715 860 946 1118 1430 1892 2236 2365 2795 2860 3343 4730 5590 6149 6686 9460 11180 12298 13372 16715 24596 30745 33430 36773 43459 61490 66860 73546 86918 122980 143749 147092 173836 183865 217295 287498 367730 434590 478049 574996 718745 735460 869180 956098 1437490 1581239 1868737 1912196 2390245 2874980 3162478 3737474 4780490 6324956 7474948 7906195 9343685 9560980 15812390 18687370 20556107 31624780 37374740 41112214 82224428 102780535 205561070 411122140