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212301543040 = 275952134841
BaseRepresentation
bin1100010110111000101…
…0000111011010000000
3202021222122210211010121
43011232022013122000
511434243143334130
6241310250510024
721224013224656
oct3055612073200
9667878724117
10212301543040
11820447605a4
123518b435314
1317034aa1c22
14a3bdb94dd6
1557c840ad7a
hex316e287680

212301543040 has 64 divisors (see below), whose sum is σ = 507601251720. Its totient is φ = 84909260800.

The previous prime is 212301543007. The next prime is 212301543059. The reversal of 212301543040 is 40345103212.

It can be written as a sum of positive squares in 4 ways, for example, as 125945492544 + 86356050496 = 354888^2 + 293864^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 212301542996 and 212301543014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6076020 + ... + 6110860.

Almost surely, 2212301543040 is an apocalyptic number.

212301543040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212301543040 is an abundant number, since it is smaller than the sum of its proper divisors (295299708680).

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

212301543040 is an equidigital number, since it uses as much as digits as its factorization.

212301543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44381 (or 44369 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 212301543040 its reverse (40345103212), we get a palindrome (252646646252).

The spelling of 212301543040 in words is "two hundred twelve billion, three hundred one million, five hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 9521 19042 34841 38084 47605 69682 76168 95210 139364 152336 174205 190420 278728 304672 348410 380840 557456 609344 696820 761680 1114912 1218688 1393640 1523360 2229824 2787280 3046720 4459648 5574560 6093440 11149120 22298240 331721161 663442322 1326884644 1658605805 2653769288 3317211610 5307538576 6634423220 10615077152 13268846440 21230154304 26537692880 42460308608 53075385760 106150771520 212301543040