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1400141213442 = 232291032252829
BaseRepresentation
bin10100010111111110111…
…010110110111100000010
311221212000020201011220100
4110113332322312330002
5140414442122312232
62551114353223230
7203104542643026
oct24277672667402
94855006634810
101400141213442
1149a884239014
121a7434561b16
13a2056c4a61a
144baa5288386
152664a755c7c
hex145feeb6f02

1400141213442 has 72 divisors (see below), whose sum is σ = 3169024314300. Its totient is φ = 446243442624.

The previous prime is 1400141213441. The next prime is 1400141213453. The reversal of 1400141213442 is 2443121410041.

1400141213442 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 4 + 1 + 213 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1327705412121 + 72435801321 = 1152261^2 + 269139^2 .

It is not an unprimeable number, because it can be changed into a prime (1400141213441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5411484 + ... + 5664312.

Almost surely, 21400141213442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400141213442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584512157150).

1400141213442 is an abundant number, since it is smaller than the sum of its proper divisors (1768883100858).

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

1400141213442 is a wasteful number, since it uses less digits than its factorization.

1400141213442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253072 (or 252966 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1400141213442 its reverse (2443121410041), we get a palindrome (3843262623483).

The spelling of 1400141213442 in words is "one trillion, four hundred billion, one hundred forty-one million, two hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 103 174 206 261 309 522 618 927 1854 2987 5974 8961 10609 17922 21218 26883 31827 53766 63654 95481 190962 252829 307661 505658 615322 758487 922983 1516974 1845966 2275461 2768949 4550922 5537898 7332041 14664082 21996123 26041387 43992246 52082774 65988369 78124161 131976738 156248322 234372483 468744966 755200223 1510400446 2265600669 2682262861 4531201338 5364525722 6796802007 8046788583 13593604014 16093577166 24140365749 48280731498 77785622969 155571245938 233356868907 466713737814 700070606721 1400141213442