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20120241040 = 2451621155153
BaseRepresentation
bin10010101111010000…
…101000001110010000
31220221012210010221121
4102233100220032100
5312201240203130
613124302332024
71311412140604
oct225720501620
956835703847
1020120241040
118595395989
123a9628a014
131b88587493
14d8c265504
157cb5bcd7a
hex4af428390

20120241040 has 40 divisors (see below), whose sum is σ = 46808720568. Its totient is φ = 8043079680.

The previous prime is 20120240971. The next prime is 20120241091. The reversal of 20120241040 is 4014202102.

It can be written as a sum of positive squares in 4 ways, for example, as 6800311296 + 13319929744 = 82464^2 + 115412^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 52104 + ... + 207256.

Almost surely, 220120241040 is an apocalyptic number.

20120241040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120241040 is an abundant number, since it is smaller than the sum of its proper divisors (26688479528).

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

20120241040 is a wasteful number, since it uses less digits than its factorization.

20120241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156787 (or 156781 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20120241040 its reverse (4014202102), we get a palindrome (24134443142).

It can be divided in two parts, 201202 and 41040, that added together give a palindrome (242242).

The spelling of 20120241040 in words is "twenty billion, one hundred twenty million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1621 3242 6484 8105 12968 16210 25936 32420 64840 129680 155153 310306 620612 775765 1241224 1551530 2482448 3103060 6206120 12412240 251503013 503006026 1006012052 1257515065 2012024104 2515030130 4024048208 5030060260 10060120520 20120241040