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1342082473344 = 2734269481207
BaseRepresentation
bin10011100001111010010…
…110010101110110000000
311202022011000221121010000
4103201322112111312000
5133442041103121334
62504313313040000
7165651024541134
oct23417226256600
94668130847100
101342082473344
114781a0628288
12198130856000
139973373c142
1448d5855d3c4
1524d9d661299
hex1387a595d80

1342082473344 has 160 divisors (see below), whose sum is σ = 4008871666800. Its totient is φ = 445696846848.

The previous prime is 1342082473313. The next prime is 1342082473363. The reversal of 1342082473344 is 4433742802431.

1342082473344 is a `hidden beast` number, since 1 + 34 + 208 + 2 + 4 + 73 + 344 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1342082473344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2548389 + ... + 3029595.

Almost surely, 21342082473344 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 1342082473344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004435833400).

1342082473344 is an abundant number, since it is smaller than the sum of its proper divisors (2666789193456).

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

1342082473344 is an equidigital number, since it uses as much as digits as its factorization.

1342082473344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481502 (or 481481 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 1342082473344 in words is "one trillion, three hundred forty-two billion, eighty-two million, four hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 269 288 324 384 432 538 576 648 807 864 1076 1152 1296 1614 1728 2152 2421 2592 3228 3456 4304 4842 5184 6456 7263 8608 9684 10368 12912 14526 17216 19368 21789 25824 29052 34432 38736 43578 51648 58104 77472 87156 103296 116208 154944 174312 232416 309888 348624 464832 481207 697248 929664 962414 1394496 1443621 1924828 2788992 2887242 3849656 4330863 5774484 7699312 8661726 11548968 12992589 15398624 17323452 23097936 25985178 30797248 34646904 38977767 46195872 51970356 61594496 69293808 77955534 92391744 103940712 129444683 138587616 155911068 184783488 207881424 258889366 277175232 311822136 388334049 415762848 517778732 554350464 623644272 776668098 831525696 1035557464 1165002147 1247288544 1553336196 1663051392 2071114928 2330004294 2494577088 3106672392 3495006441 4142229856 4660008588 4989154176 6213344784 6990012882 8284459712 9320017176 10485019323 12426689568 13980025764 16568919424 18640034352 20970038646 24853379136 27960051528 37280068704 41940077292 49706758272 55920103056 74560137408 83880154584 111840206112 149120274816 167760309168 223680412224 335520618336 447360824448 671041236672 1342082473344