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1344244045452 = 22372111131839203
BaseRepresentation
bin10011100011111011001…
…100000101011010001100
311202111201200022211121020
4103203323030011122030
5134011002433423302
62505312011034140
7166055422600500
oct23437314053214
94674650284536
101344244045452
114790aa7a0410
1219863473b950
13999b95076a9
14490c1676300
1524e782dbebc
hex138fb30568c

1344244045452 has 144 divisors (see below), whose sum is σ = 4015585590912. Its totient is φ = 346064248320.

The previous prime is 1344244045451. The next prime is 1344244045477. The reversal of 1344244045452 is 2545404424431.

It is a super-4 number, since 4×13442440454524 (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1344244045451) 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, 188718 + ... + 1650485.

It is an arithmetic number, because the mean of its divisors is an integer number (27886011048).

Almost surely, 21344244045452 is an apocalyptic number.

1344244045452 is a gapful number since it is divisible by the number (12) 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 1344244045452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007792795456).

1344244045452 is an abundant number, since it is smaller than the sum of its proper divisors (2671341545460).

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

1344244045452 is a wasteful number, since it uses less digits than its factorization.

1344244045452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839348 (or 1839339 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 42.

Adding to 1344244045452 its reverse (2545404424431), we get a palindrome (3889648469883).

The spelling of 1344244045452 in words is "one trillion, three hundred forty-four billion, two hundred forty-four million, forty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 113 132 147 154 196 226 231 294 308 339 452 462 539 588 678 791 924 1078 1243 1356 1582 1617 2156 2373 2486 3164 3234 3729 4746 4972 5537 6468 7458 8701 9492 11074 14916 16611 17402 22148 26103 33222 34804 52206 60907 66444 104412 121814 182721 243628 365442 730884 1839203 3678406 5517609 7356812 11035218 12874421 20231233 22070436 25748842 38623263 40462466 51497684 60693699 77246526 80924932 90120947 121387398 141618631 154493052 180241894 207829939 242774796 270362841 283237262 360483788 415659878 424855893 540725682 566474524 623489817 831319756 849711786 991330417 1081451364 1246979634 1454809573 1699423572 1982660834 2286129329 2493959268 2909619146 2973991251 3965321668 4364428719 4572258658 5819238292 5947982502 6858387987 8728857438 9144517316 10183667011 11895965004 13716775974 16002905303 17457714876 20367334022 27433551948 30551001033 32005810606 40734668044 48008715909 61102002066 64011621212 96017431818 112020337121 122204004132 192034863636 224040674242 336061011363 448081348484 672122022726 1344244045452