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1024141140 = 2232511517243
BaseRepresentation
bin111101000010110…
…010011101010100
32122101002202112100
4331002302131110
54044140004030
6245342522100
734244025141
oct7502623524
92571082470
101024141140
11486112440
12246b96330
13134240499
149a0333c8
155ed9e360
hex3d0b2754

1024141140 has 72 divisors (see below), whose sum is σ = 3388982688. Its totient is φ = 248276160.

The previous prime is 1024141123. The next prime is 1024141147. The reversal of 1024141140 is 411414201.

1024141140 is a `hidden beast` number, since 10 + 241 + 411 + 4 + 0 = 666.

1024141140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024141147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256642 + ... + 260601.

It is an arithmetic number, because the mean of its divisors is an integer number (47069204).

Almost surely, 21024141140 is an apocalyptic number.

1024141140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024141140 is an abundant number, since it is smaller than the sum of its proper divisors (2364841548).

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

1024141140 is a wasteful number, since it uses less digits than its factorization.

1024141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517269 (or 517264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1024141140 is about 32002.2052365146. The cubic root of 1024141140 is about 1007.9831464491.

Adding to 1024141140 its reverse (411414201), we get a palindrome (1435555341).

The spelling of 1024141140 in words is "one billion, twenty-four million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 517243 1034486 1551729 2068972 2586215 3103458 4655187 5172430 5689673 6206916 7758645 9310374 10344860 11379346 15517290 17069019 18620748 22758692 23275935 28448365 31034580 34138038 46551870 51207057 56896730 68276076 85345095 93103740 102414114 113793460 170690190 204828228 256035285 341380380 512070570 1024141140