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1412244415456 = 25710991962939
BaseRepresentation
bin10100100011010000010…
…100111010001111100000
312000000020202000112210121
4110203100110322033200
5141114234032243311
63000435351010024
7204013506316210
oct24432024721740
95000222015717
101412244415456
114a4a25178906
121a9851969914
13a32355a7214
144c4d288c240
1526b080aeb71
hex148d053a3e0

1412244415456 has 96 divisors (see below), whose sum is σ = 3210242112000. Its totient is φ = 599032806912.

The previous prime is 1412244415433. The next prime is 1412244415499. The reversal of 1412244415456 is 6545144422141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22406835 + ... + 22469773.

It is an arithmetic number, because the mean of its divisors is an integer number (33440022000).

Almost surely, 21412244415456 is an apocalyptic number.

1412244415456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412244415456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605121056000).

1412244415456 is an abundant number, since it is smaller than the sum of its proper divisors (1797997696544).

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

1412244415456 is a wasteful number, since it uses less digits than its factorization.

1412244415456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63984 (or 63976 counting only the distinct ones).

The product of its digits is 614400, while the sum is 43.

Adding to 1412244415456 its reverse (6545144422141), we get a palindrome (7957388837597).

The spelling of 1412244415456 in words is "one trillion, four hundred twelve billion, two hundred forty-four million, four hundred fifteen thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 872 919 1526 1744 1838 3052 3488 3676 6104 6433 7352 12208 12866 14704 24416 25732 29408 51464 62939 100171 102928 125878 200342 205856 251756 400684 440573 503512 701197 801368 881146 1007024 1402394 1602736 1762292 2014048 2804788 3205472 3524584 5609576 6860351 7049168 11219152 13720702 14098336 22438304 27441404 48022457 54882808 57840941 96044914 109765616 115681882 192089828 219531232 231363764 384179656 404886587 462727528 768359312 809773174 925455056 1536718624 1619546348 1850910112 3239092696 6304662569 6478185392 12609325138 12956370784 25218650276 44132637983 50437300552 88265275966 100874601104 176530551932 201749202208 353061103864 706122207728 1412244415456