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1344764475144 = 2333157116632383
BaseRepresentation
bin10011100100011010001…
…101010111011100001000
311202120001221121101221000
4103210122031113130020
5134013034201201034
62505435401415000
7166104342303306
oct23443215273410
94676057541830
101344764475144
114793475409a2
1219875aa9a460
1399a7029365c
1449130829276
1524ea8d3d599
hex1391a357708

1344764475144 has 128 divisors (see below), whose sum is σ = 3741651763200. Its totient is φ = 447512247360.

The previous prime is 1344764475097. The next prime is 1344764475161. The reversal of 1344764475144 is 4415744674431.

1344764475144 is a `hidden beast` number, since 1 + 3 + 44 + 76 + 447 + 51 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 564314577 + ... + 564316959.

It is an arithmetic number, because the mean of its divisors is an integer number (29231654400).

Almost surely, 21344764475144 is an apocalyptic number.

It is an amenable number.

1344764475144 is an abundant number, since it is smaller than the sum of its proper divisors (2396887288056).

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

1344764475144 is a wasteful number, since it uses less digits than its factorization.

1344764475144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5622 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 1344764475144 in words is "one trillion, three hundred forty-four billion, seven hundred sixty-four million, four hundred seventy-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1571 1663 2383 3142 3326 4713 4766 4989 6284 6652 7149 9426 9532 9978 12568 13304 14139 14298 14967 18852 19064 19956 21447 28278 28596 29934 37704 39912 42417 42894 44901 56556 57192 59868 64341 84834 85788 89802 113112 119736 128682 169668 171576 179604 257364 339336 359208 514728 2612573 3743693 3962929 5225146 7487386 7837719 7925858 10450292 11231079 11888787 14974772 15675438 15851716 20900584 22462158 23513157 23777574 29949544 31350876 31703432 33693237 35666361 44924316 47026314 47555148 62701752 67386474 70539471 71332722 89848632 94052628 95110296 101079711 106999083 134772948 141078942 142665444 188105256 202159422 213998166 269545896 282157884 285330888 404318844 427996332 564315768 808637688 855992664 6225761459 12451522918 18677284377 24903045836 37354568754 49806091672 56031853131 74709137508 112063706262 149418275016 168095559393 224127412524 336191118786 448254825048 672382237572 1344764475144