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1001142340 = 2251143105829
BaseRepresentation
bin111011101011000…
…011100001000100
32120202211022002221
4323223003201010
54022243023330
6243201542124
733544366222
oct7353034104
92522738087
101001142340
11474134070
1223b344944
1312c54a123
1496d67b12
155cd59b7a
hex3bac3844

1001142340 has 48 divisors (see below), whose sum is σ = 2346886080. Its totient is φ = 355582080.

The previous prime is 1001142301. The next prime is 1001142343. The reversal of 1001142340 is 432411001.

It is not an unprimeable number, because it can be changed into a prime (1001142343) 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, 43455 + ... + 62374.

It is an arithmetic number, because the mean of its divisors is an integer number (48893460).

Almost surely, 21001142340 is an apocalyptic number.

1001142340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001142340 is an abundant number, since it is smaller than the sum of its proper divisors (1345743740).

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

1001142340 is a wasteful number, since it uses less digits than its factorization.

1001142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105892 (or 105890 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1001142340 is about 31640.8334277086. The cubic root of 1001142340 is about 1000.3806350985.

Adding to 1001142340 its reverse (432411001), we get a palindrome (1433553341).

It can be divided in two parts, 1001 and 142340, that added together give a palindrome (143341).

The spelling of 1001142340 in words is "one billion, one million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 430 473 860 946 1892 2365 4730 9460 105829 211658 423316 529145 1058290 1164119 2116580 2328238 4550647 4656476 5820595 9101294 11641190 18202588 22753235 23282380 45506470 50057117 91012940 100114234 200228468 250285585 500571170 1001142340