Search a number
-
+
1402224441444 = 2233229357115877
BaseRepresentation
bin10100011001111011000…
…101101111100001100100
311222001101102200010111000
4110121323011233201210
5140433223424111234
62552101212113300
7203210300044041
oct24317305574144
94861342603430
101402224441444
114a0753161052
121a7916165830
13a22c9715408
144bc21c0a1c8
152671d5a8899
hex1467b16f864

1402224441444 has 96 divisors (see below), whose sum is σ = 3652524310400. Its totient is φ = 465207442560.

The previous prime is 1402224441421. The next prime is 1402224441461. The reversal of 1402224441444 is 4441444222041.

1402224441444 is a `hidden beast` number, since 1 + 402 + 2 + 244 + 4 + 1 + 4 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1402224441399 and 1402224441408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88310034 + ... + 88325910.

Almost surely, 21402224441444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402224441444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826262155200).

1402224441444 is an abundant number, since it is smaller than the sum of its proper divisors (2250299868956).

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

1402224441444 is a wasteful number, since it uses less digits than its factorization.

1402224441444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19690 (or 19682 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 1402224441444 its reverse (4441444222041), we get a palindrome (5843668663485).

The spelling of 1402224441444 in words is "one trillion, four hundred two billion, two hundred twenty-four million, four hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 229 458 687 916 1374 2061 2748 3571 4122 6183 7142 8244 10713 12366 14284 15877 21426 24732 31754 32139 42852 47631 63508 64278 95262 96417 128556 142893 190524 192834 285786 385668 428679 571572 817759 857358 1635518 1714716 2453277 3271036 3635833 4906554 7271666 7359831 9813108 10907499 14543332 14719662 21814998 22079493 29439324 32722497 43629996 44158986 56696767 65444994 88317972 98167491 113393534 130889988 170090301 196334982 226787068 340180602 392669964 510270903 680361204 1020541806 1530812709 2041083612 3061625418 6123250836 12983559643 25967119286 38950678929 51934238572 77901357858 116852036787 155802715716 233704073574 350556110361 467408147148 701112220722 1402224441444