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1403002213140 = 2235112973302101
BaseRepresentation
bin10100011010101001011…
…100101101001100010100
311222010101122012000200010
4110122221130231030110
5140441322031310030
62552310314320220
7203235463021023
oct24325134551424
94863348160603
101403002213140
114a101219a480
121a7ab2729070
13a23c18b4858
144bc9722a8ba
15267669de6b0
hex146a972d314

1403002213140 has 96 divisors (see below), whose sum is σ = 4433311128960. Its totient is φ = 328393408000.

The previous prime is 1403002213097. The next prime is 1403002213147. The reversal of 1403002213140 is 413122003041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1403002213147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36631911 + ... + 36670190.

It is an arithmetic number, because the mean of its divisors is an integer number (46180324260).

Almost surely, 21403002213140 is an apocalyptic number.

1403002213140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1403002213140 is an abundant number, since it is smaller than the sum of its proper divisors (3030308915820).

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

1403002213140 is a wasteful number, since it uses less digits than its factorization.

1403002213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73302153 (or 73302151 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1403002213140 its reverse (413122003041), we get a palindrome (1816124216181).

The spelling of 1403002213140 in words is "one trillion, four hundred three billion, two million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 19140 73302101 146604202 219906303 293208404 366510505 439812606 733021010 806323111 879625212 1099531515 1466042020 1612646222 2125760929 2199063030 2418969333 3225292444 4031615555 4251521858 4398126060 4837938666 6377282787 8063231110 8503043716 9675877332 10628804645 12094846665 12754565574 16126462220 21257609290 23383370219 24189693330 25509131148 31886413935 42515218580 46766740438 48379386660 63772827870 70150110657 93533480876 116916851095 127545655740 140300221314 233833702190 280600442628 350750553285 467667404380 701501106570 1403002213140