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212443423043400 = 233252761155090833
BaseRepresentation
bin110000010011011101010110…
…110000111110111101001000
31000212012101121102101200122100
4300103131112300332331020
5210321133112244342100
62031455054454153400
762514350032112313
oct6023352660767510
91025171542350570
10212443423043400
1161766827a1277a
121b9b0b60652860
1391704375a2903
143a6646081b97a
15198621ab4a400
hexc13756c3ef48

212443423043400 has 144 divisors (see below), whose sum is σ = 714393357745860. Its totient is φ = 56577135513600.

The previous prime is 212443423043387. The next prime is 212443423043407. The reversal of 212443423043400 is 4340324344212.

212443423043400 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 4 + 3 + 4 + 2 + 304 + 340 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20024855307396 + 192418567736004 = 4474914^2 + 13871502^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (212443423043407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76175617 + ... + 78915216.

Almost surely, 2212443423043400 is an apocalyptic number.

212443423043400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212443423043400 is an abundant number, since it is smaller than the sum of its proper divisors (501949934702460).

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

212443423043400 is a wasteful number, since it uses less digits than its factorization.

212443423043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155091616 (or 155091604 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 212443423043400 its reverse (4340324344212), we get a palindrome (216783747387612).

The spelling of 212443423043400 in words is "two hundred twelve trillion, four hundred forty-three billion, four hundred twenty-three million, forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 761 900 1522 1800 2283 3044 3805 4566 6088 6849 7610 9132 11415 13698 15220 18264 19025 22830 27396 30440 34245 38050 45660 54792 57075 68490 76100 91320 114150 136980 152200 171225 228300 273960 342450 456600 684900 1369800 155090833 310181666 465272499 620363332 775454165 930544998 1240726664 1395817497 1550908330 1861089996 2326362495 2791634994 3101816660 3722179992 3877270825 4652724990 5583269988 6203633320 6979087485 7754541650 9305449980 11166539976 11631812475 13958174970 15509083300 18610899960 23263624950 27916349940 31018166600 34895437425 46527249900 55832699880 69790874850 93054499800 118024123913 139581749700 236048247826 279163499400 354072371739 472096495652 590120619565 708144743478 944192991304 1062217115217 1180241239130 1416289486956 1770361858695 2124434230434 2360482478260 2832578973912 2950603097825 3540723717390 4248868460868 4720964956520 5311085576085 5901206195650 7081447434780 8497736921736 8851809293475 10622171152170 11802412391300 14162894869560 17703618586950 21244342304340 23604824782600 26555427880425 35407237173900 42488684608680 53110855760850 70814474347800 106221711521700 212443423043400