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243120046406424 = 2331140916671350697
BaseRepresentation
bin110111010001110111001100…
…000000001111101100011000
31011212211001100001022122110220
4313101313030000033230120
5223331234323340001144
62221023450224240040
7102131562251300505
oct6721671400175430
91155731301278426
10243120046406424
11705136a6085030
1223326363770020
13a58717806b405
14440710457c4ac
151d1919c5c0919
hexdd1dcc00fb18

243120046406424 has 128 divisors (see below), whose sum is σ = 665075050732800. Its totient is φ = 73448471255040.

The previous prime is 243120046406411. The next prime is 243120046406429. The reversal of 243120046406424 is 424604640021342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243120046406429) by changing a digit.

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, 179320644 + ... + 180671340.

It is an arithmetic number, because the mean of its divisors is an integer number (5195898833850).

Almost surely, 2243120046406424 is an apocalyptic number.

243120046406424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243120046406424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332537525366400).

243120046406424 is an abundant number, since it is smaller than the sum of its proper divisors (421955004326376).

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

243120046406424 is a wasteful number, since it uses less digits than its factorization.

243120046406424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352793 (or 1352789 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

Adding to 243120046406424 its reverse (424604640021342), we get a palindrome (667724686427766).

The spelling of 243120046406424 in words is "two hundred forty-three trillion, one hundred twenty billion, forty-six million, four hundred six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 409 818 1227 1636 1667 2454 3272 3334 4499 4908 5001 6668 8998 9816 10002 13336 13497 17996 18337 20004 26994 35992 36674 40008 53988 55011 73348 107976 110022 146696 220044 440088 681803 1350697 1363606 2045409 2701394 2727212 4052091 4090818 5402788 5454424 7499833 8104182 8181636 10805576 14857667 14999666 16208364 16363272 22499499 29715334 29999332 32416728 44573001 44998998 59430668 59998664 89146002 89997996 118861336 178292004 179995992 356584008 552435073 1104870146 1657305219 2209740292 2251611899 3314610438 4419480584 4503223798 6076785803 6629220876 6754835697 9006447596 12153571606 13258441752 13509671394 18012895192 18230357409 24307143212 24767730889 27019342788 36460714818 48614286424 49535461778 54038685576 72921429636 74303192667 99070923556 145842859272 148606385334 198141847112 297212770668 594425541336 920909266691 1841818533382 2762727800073 3683637066764 5525455600146 7367274133528 10130001933601 11050911200292 20260003867202 22101822400584 30390005800803 40520007734404 60780011601606 81040015468808 121560023203212 243120046406424