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1316040505344 = 2113273978079
BaseRepresentation
bin10011001001101010001…
…000000111100000000000
311122210221010101112220200
4103021222020013200000
5133030222332132334
62444325231205200
7164036465503155
oct23115210074000
94583833345820
101316040505344
11468147613284
12193083376800
1397143393216
14479a7a6222c
152437726c799
hex1326a207800

1316040505344 has 144 divisors (see below), whose sum is σ = 3853038571200. Its totient is φ = 432670408704.

The previous prime is 1316040505301. The next prime is 1316040505369. The reversal of 1316040505344 is 4435050406131.

1316040505344 is a `hidden beast` number, since 1 + 3 + 1 + 604 + 0 + 5 + 0 + 5 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13160405053442 (a number of 25 digits) contains 22 as substring.

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 = 1316040505299 and 1316040505308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 856497 + ... + 1834575.

It is an arithmetic number, because the mean of its divisors is an integer number (26757212300).

Almost surely, 21316040505344 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 1316040505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926519285600).

1316040505344 is an abundant number, since it is smaller than the sum of its proper divisors (2536998065856).

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

1316040505344 is an equidigital number, since it uses as much as digits as its factorization.

1316040505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978180 (or 978157 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 1316040505344 in words is "one trillion, three hundred sixteen billion, forty million, five hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1024 1152 1168 1314 1536 1752 2048 2304 2336 2628 3072 3504 4608 4672 5256 6144 7008 9216 9344 10512 14016 18432 18688 21024 28032 37376 42048 56064 74752 84096 112128 149504 168192 224256 336384 448512 672768 978079 1345536 1956158 2934237 3912316 5868474 7824632 8802711 11736948 15649264 17605422 23473896 31298528 35210844 46947792 62597056 70421688 71399767 93895584 125194112 140843376 142799534 187791168 214199301 250388224 281686752 285599068 375582336 428398602 500776448 563373504 571198136 642597903 751164672 856797204 1001552896 1126747008 1142396272 1285195806 1502329344 1713594408 2003105792 2253494016 2284792544 2570391612 3004658688 3427188816 4506988032 4569585088 5140783224 6009317376 6854377632 9013976064 9139170176 10281566448 13708755264 18027952128 18278340352 20563132896 27417510528 36556680704 41126265792 54835021056 73113361408 82252531584 109670042112 146226722816 164505063168 219340084224 329010126336 438680168448 658020252672 1316040505344