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1344610036854 = 232718168386323
BaseRepresentation
bin10011100100010001000…
…000001110110001110110
311202112200012000010102100
4103210101000032301312
5134012230132134404
62505412203322530
7166100455510020
oct23442100166166
94675605003370
101344610036854
11479278348147
12198717220446
1399a4729c556
1449118107010
1524e9a4d3d39
hex1391100ec76

1344610036854 has 96 divisors (see below), whose sum is σ = 3352846258944. Its totient is φ = 381487993920.

The previous prime is 1344610036853. The next prime is 1344610036877. The reversal of 1344610036854 is 4586300164431.

1344610036854 is a `hidden beast` number, since 134 + 4 + 6 + 100 + 368 + 54 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344610036853) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15533337 + ... + 15619659.

It is an arithmetic number, because the mean of its divisors is an integer number (34925481864).

Almost surely, 21344610036854 is an apocalyptic number.

1344610036854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344610036854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676423129472).

1344610036854 is an abundant number, since it is smaller than the sum of its proper divisors (2008236222090).

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

1344610036854 is a wasteful number, since it uses less digits than its factorization.

1344610036854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87202 (or 87199 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1344610036854 in words is "one trillion, three hundred forty-four billion, six hundred ten million, thirty-six thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 683 1086 1267 1366 1629 2049 2534 3258 3801 4098 4781 6147 7602 9562 11403 12294 14343 22806 28686 43029 86058 86323 123623 172646 247246 258969 370869 517938 604261 741738 776907 865361 1112607 1208522 1553814 1730722 1812783 2225214 2596083 3625566 5192166 5438349 7788249 10876698 15576498 15624463 31248926 46873389 58958609 93746778 109371241 117917218 140620167 176875827 218742482 281240334 328113723 353751654 412710263 530627481 656227446 825420526 984341169 1061254962 1238130789 1968682338 2476261578 3714392367 7428784734 10671508229 21343016458 32014524687 64029049374 74700557603 96043574061 149401115206 192087148122 224101672809 448203345618 672305018427 1344610036854