Search a number
-
+
411420204231300 = 2233521113852532129
BaseRepresentation
bin101110110001011110011101…
…1001000000110101010000100
31222221201101110102022110101000
41131202330323020012222010
5412411202034240400200
64015003455501333300
7152442062124143265
oct13542747310065204
91887641412273330
10411420204231300
1110a100368649a20
123a187ba9b67230
13148749b3093c94
147384bb642c96c
153286eb4d40300
hex1762f3b206a84

411420204231300 has 144 divisors (see below), whose sum is σ = 1442879746660800. Its totient is φ = 99738231321600.

The previous prime is 411420204231259. The next prime is 411420204231419. The reversal of 411420204231300 is 3132402024114.

411420204231300 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 202 + 0 + 423 + 1 + 30 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 6926236365 + ... + 6926295764.

It is an arithmetic number, because the mean of its divisors is an integer number (10019998240700).

Almost surely, 2411420204231300 is an apocalyptic number.

It is an amenable number.

411420204231300 is an abundant number, since it is smaller than the sum of its proper divisors (1031459542429500).

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

411420204231300 is a wasteful number, since it uses less digits than its factorization.

411420204231300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13852532163 (or 13852532150 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 411420204231300 its reverse (3132402024114), we get a palindrome (414552606255414).

The spelling of 411420204231300 in words is "four hundred eleven trillion, four hundred twenty billion, two hundred four million, two hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 450 495 540 550 594 660 675 825 900 990 1100 1188 1350 1485 1650 1980 2475 2700 2970 3300 4950 5940 7425 9900 14850 29700 13852532129 27705064258 41557596387 55410128516 69262660645 83115192774 124672789161 138525321290 152377853419 166230385548 207787981935 249345578322 277050642580 304755706838 346313303225 374018367483 415575963870 457133560257 498691156644 609511413676 623363945805 692626606450 748036734966 761889267095 831151927740 914267120514 1038939909675 1246727891610 1371400680771 1385253212900 1496073469932 1523778534190 1828534241028 1870091837415 2077879819350 2285667801285 2493455783220 2742801361542 3047557068380 3116819729025 3740183674830 3809446335475 4114202042313 4155759638700 4571335602570 5485602723084 6233639458050 6857003403855 7480367349660 7618892670950 8228404084626 9142671205140 9350459187075 11428339006425 12467278916100 13714006807710 15237785341900 16456808169252 18700918374150 20571010211565 22856678012850 27428013615420 34285017019275 37401836748300 41142020423130 45713356025700 68570034038550 82284040846260 102855051057825 137140068077100 205710102115650 411420204231300