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1242211041344 = 26713413351607
BaseRepresentation
bin10010000100111001100…
…011000100000001000000
311101202100211020012000002
4102010321203010001000
5130323022011310334
62350355221415132
7155514101430350
oct22047143040100
94352324205002
101242211041344
11439900826229
121808b9b6a4a8
13901a8766450
14441a2608b60
15224a5870b7e
hex121398c4040

1242211041344 has 112 divisors (see below), whose sum is σ = 3034654441728. Its totient is φ = 491295725568.

The previous prime is 1242211041341. The next prime is 1242211041349. The reversal of 1242211041344 is 4431401122421.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1242211041341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24044789 + ... + 24096395.

It is an arithmetic number, because the mean of its divisors is an integer number (27095128944).

Almost surely, 21242211041344 is an apocalyptic number.

1242211041344 is a gapful number since it is divisible by the number (14) 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 1242211041344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517327220864).

1242211041344 is an abundant number, since it is smaller than the sum of its proper divisors (1792443400384).

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

1242211041344 is a wasteful number, since it uses less digits than its factorization.

1242211041344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55772 (or 55762 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 1242211041344 its reverse (4431401122421), we get a palindrome (5673612163765).

The spelling of 1242211041344 in words is "one trillion, two hundred forty-two billion, two hundred eleven million, forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 728 832 1456 2912 4133 5824 8266 16532 28931 33064 51607 53729 57862 66128 103214 107458 115724 132256 206428 214916 231448 264512 361249 376103 412856 429832 462896 670891 722498 752206 825712 859664 925792 1341782 1444996 1504412 1651424 1719328 1851584 2683564 2889992 3008824 3302848 3438656 4696237 5367128 5779984 6017648 9392474 10734256 11559968 12035296 18784948 21468512 23119936 24070592 37569896 42937024 75139792 150279584 213291731 300559168 426583462 853166924 1493042117 1706333848 2772792503 2986084234 3412667696 5545585006 5972168468 6825335392 11091170012 11944336936 13650670784 19409547521 22182340024 23888673872 38819095042 44364680048 47777347744 77638190084 88729360096 95554695488 155276380168 177458720192 310552760336 621105520672 1242211041344