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1002144140 = 225415323059
BaseRepresentation
bin111011101110111…
…000000110001100
32120211201012022122
4323232320012030
54023022103030
6243235232112
733556041014
oct7356700614
92524635278
101002144140
114747587a8
1223b748638
1312c80b0ca
1497148c44
155cea68e5
hex3bbb818c

1002144140 has 48 divisors (see below), whose sum is σ = 2196603360. Its totient is φ = 383685120.

The previous prime is 1002144139. The next prime is 1002144191. The reversal of 1002144140 is 414412001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31931 + ... + 54989.

It is an arithmetic number, because the mean of its divisors is an integer number (45762570).

Almost surely, 21002144140 is an apocalyptic number.

1002144140 is a gapful number since it is divisible by the number (10) 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 1002144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098301680).

1002144140 is an abundant number, since it is smaller than the sum of its proper divisors (1194459220).

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

1002144140 is a wasteful number, since it uses less digits than its factorization.

1002144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23162 (or 23160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1002144140 is about 31656.6602786839. The cubic root of 1002144140 is about 1000.7142031258.

Adding to 1002144140 its reverse (414412001), we get a palindrome (1416556141).

The spelling of 1002144140 in words is "one billion, two million, one hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 820 1060 2173 4346 8692 10865 21730 23059 43460 46118 92236 115295 230590 461180 945419 1222127 1890838 2444254 3781676 4727095 4888508 6110635 9454190 12221270 18908380 24442540 50107207 100214414 200428828 250536035 501072070 1002144140