Search a number
-
+
1400443120314 = 232723521927533
BaseRepresentation
bin10100011000010000111…
…010100010101010111010
311221212210021210122021100
4110120100322202222322
5140421101414322224
62551204340152230
7203115200054010
oct24302072425272
94855707718240
101400443120314
1149aa196a5127
121a74b9698676
13a20a4665344
144bad33d68b0
1526666edeac9
hex14610ea2aba

1400443120314 has 96 divisors (see below), whose sum is σ = 3625485537024. Its totient is φ = 381994778880.

The previous prime is 1400443120313. The next prime is 1400443120319. The reversal of 1400443120314 is 4130213440041.

1400443120314 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 443 + 1 + 203 + 14 = 666.

It is a super-2 number, since 2×14004431203142 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1400443120313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1046092 + ... + 1973624.

It is an arithmetic number, because the mean of its divisors is an integer number (37765474344).

Almost surely, 21400443120314 is an apocalyptic number.

1400443120314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400443120314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812742768512).

1400443120314 is an abundant number, since it is smaller than the sum of its proper divisors (2225042416710).

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

1400443120314 is a wasteful number, since it uses less digits than its factorization.

1400443120314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928092 (or 928089 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1400443120314 its reverse (4130213440041), we get a palindrome (5530656560355).

The spelling of 1400443120314 in words is "one trillion, four hundred billion, four hundred forty-three million, one hundred twenty thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 521 966 1042 1449 1563 2898 3126 3647 4689 7294 9378 10941 11983 21882 23966 32823 35949 65646 71898 83881 107847 167762 215694 251643 503286 754929 927533 1509858 1855066 2782599 5565198 6492731 8347797 12985462 16695594 19478193 21333259 38956386 42666518 58434579 63999777 116869158 127999554 149332813 191999331 298665626 383998662 447998439 483244693 895996878 966489386 1343995317 1449734079 2687990634 2899468158 3382712851 4349202237 6765425702 8698404474 10148138553 11114627939 20296277106 22229255878 30444415659 33343883817 60888831318 66687767634 77802395573 100031651451 155604791146 200063302902 233407186719 466814373438 700221560157 1400443120314