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1002033142440 = 233511269010547
BaseRepresentation
bin11101001010011011101…
…01000101101010101000
310112210102102010202120220
432211031311011222220
5112404130441024230
62044154435450040
7132252213115011
oct16451565055250
93483372122526
101002033142440
11356a61649a00
1214224aa56920
13736505782c5
14366da48c008
151b0e9ec3d10
hexe94dd45aa8

1002033142440 has 96 divisors (see below), whose sum is σ = 3304225038240. Its totient is φ = 242917121920.

The previous prime is 1002033142423. The next prime is 1002033142477. The reversal of 1002033142440 is 442413302001.

1002033142440 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1002033142440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34490754 + ... + 34519793.

It is an arithmetic number, because the mean of its divisors is an integer number (34419010815).

Almost surely, 21002033142440 is an apocalyptic number.

1002033142440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002033142440 is an abundant number, since it is smaller than the sum of its proper divisors (2302191895800).

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

1002033142440 is a wasteful number, since it uses less digits than its factorization.

1002033142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69010583 (or 69010568 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1002033142440 its reverse (442413302001), we get a palindrome (1444446444441).

The spelling of 1002033142440 in words is "one trillion, two billion, thirty-three million, one hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 69010547 138021094 207031641 276042188 345052735 414063282 552084376 690105470 759116017 828126564 1035158205 1380210940 1518232034 1656253128 2070316410 2277348051 2760421880 3036464068 3795580085 4140632820 4554696102 6072928136 7591160170 8281265640 8350276187 9109392204 11386740255 15182320340 16700552374 18218784408 22773480510 25050828561 30364640680 33401104748 41751380935 45546961020 50101657122 66802209496 83502761870 91093922040 100203314244 125254142805 167005523740 200406628488 250508285610 334011047480 501016571220 1002033142440