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412220101034140 = 225759193325817683
BaseRepresentation
bin101110110111010010111100…
…0101100010000000010011100
32000001112212010121021020110121
41131232211320230100002130
5413012303231331043030
64020415144454044324
7152553630245606050
oct13556457054200234
92001485117236417
10412220101034140
1110a389621529103
123a2970259496a4
131490225b84a839
1473b17b8badc60
15329cbce04a47a
hex176e978b1009c

412220101034140 has 96 divisors (see below), whose sum is σ = 1006617041256960. Its totient is φ = 138865256361216.

The previous prime is 412220101034129. The next prime is 412220101034173. The reversal of 412220101034140 is 41430101022214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3057739 + ... + 28875421.

It is an arithmetic number, because the mean of its divisors is an integer number (10485594179760).

Almost surely, 2412220101034140 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 412220101034140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503308520628480).

412220101034140 is an abundant number, since it is smaller than the sum of its proper divisors (594396940222820).

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

412220101034140 is a wasteful number, since it uses less digits than its factorization.

412220101034140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25819691 (or 25819689 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 412220101034140 its reverse (41430101022214), we get a palindrome (453650202056354).

The spelling of 412220101034140 in words is "four hundred twelve trillion, two hundred twenty billion, one hundred one million, thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 1933 2065 3866 4130 7732 8260 9665 13531 19330 27062 38660 54124 67655 114047 135310 228094 270620 456188 570235 798329 1140470 1596658 2280940 3193316 3991645 7983290 15966580 25817683 51635366 103270732 129088415 180723781 258176830 361447562 516353660 722895124 903618905 1523243297 1807237810 3046486594 3614475620 6092973188 7616216485 10662703079 15232432970 21325406158 30464865940 42650812316 49905581239 53313515395 99811162478 106627030790 199622324956 213254061580 249527906195 349339068673 499055812390 698678137346 998111624780 1397356274692 1746695343365 2944429293101 3493390686730 5888858586202 6986781373460 11777717172404 14722146465505 20611005051707 29444292931010 41222010103414 58888585862020 82444020206828 103055025258535 206110050517070 412220101034140