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2424536323240 = 235178940061737
BaseRepresentation
bin100011010010000001101…
…000000101010010101000
322120210011002211120211111
4203102001220011102220
5304210422244320430
65053452215440104
7340111161466123
oct43220150052250
98523132746744
102424536323240
11855270601a79
12331a84386034
1314782c330c75
14854c35bb3ba
1543103a07c2a
hex23481a054a8

2424536323240 has 64 divisors (see below), whose sum is σ = 5841001400400. Its totient is φ = 902510788608.

The previous prime is 2424536323201. The next prime is 2424536323243. The reversal of 2424536323240 is 423236354242.

It can be written as a sum of positive squares in 8 ways, for example, as 456346185156 + 1968190138084 = 675534^2 + 1402922^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2424536323193 and 2424536323202.

It is not an unprimeable number, because it can be changed into a prime (2424536323243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19970349 + ... + 20091388.

Almost surely, 22424536323240 is an apocalyptic number.

2424536323240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2424536323240 is an abundant number, since it is smaller than the sum of its proper divisors (3416465077160).

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

2424536323240 is a wasteful number, since it uses less digits than its factorization.

2424536323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40061854 (or 40061850 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

The spelling of 2424536323240 in words is "two trillion, four hundred twenty-four billion, five hundred thirty-six million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 89 136 170 178 340 356 445 680 712 890 1513 1780 3026 3560 6052 7565 12104 15130 30260 60520 40061737 80123474 160246948 200308685 320493896 400617370 681049529 801234740 1362099058 1602469480 2724198116 3405247645 3565494593 5448396232 6810495290 7130989186 13620990580 14261978372 17827472965 27241981160 28523956744 35654945930 60613408081 71309891860 121226816162 142619783720 242453632324 303067040405 484907264648 606134080810 1212268161620 2424536323240