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1402242202120 = 235415316132561
BaseRepresentation
bin10100011001111100001…
…001011111101000001000
311222001102200002110112211
4110121330021133220020
5140433243000431440
62552103044514504
7203210604025324
oct24317411375010
94861380073484
101402242202120
114a07621919a1
121a79200aba34
13a23002c34a6
144bc24310984
152671ee15eea
hex1467c25fa08

1402242202120 has 64 divisors (see below), whose sum is σ = 3292978555440. Its totient is φ = 536891596800.

The previous prime is 1402242202111. The next prime is 1402242202133. The reversal of 1402242202120 is 212022422041.

It can be written as a sum of positive squares in 8 ways, for example, as 444854316676 + 957387885444 = 666974^2 + 978462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1402242202091 and 1402242202100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7979361 + ... + 8153200.

Almost surely, 21402242202120 is an apocalyptic number.

1402242202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1402242202120 is an abundant number, since it is smaller than the sum of its proper divisors (1890736353320).

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

1402242202120 is a wasteful number, since it uses less digits than its factorization.

1402242202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16132666 (or 16132662 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1402242202120 its reverse (212022422041), we get a palindrome (1614264624161).

It can be divided in two parts, 14022422021 and 20, that added together give a palindrome (14022422041).

The spelling of 1402242202120 in words is "one trillion, four hundred two billion, two hundred forty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 53 82 106 164 205 212 265 328 410 424 530 820 1060 1640 2120 2173 4346 8692 10865 17384 21730 43460 86920 16132561 32265122 64530244 80662805 129060488 161325610 322651220 645302440 661435001 855025733 1322870002 1710051466 2645740004 3307175005 3420102932 4275128665 5291480008 6614350010 6840205864 8550257330 13228700020 17100514660 26457400040 34201029320 35056055053 70112110106 140224220212 175280275265 280448440424 350560550530 701121101060 1402242202120