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2153341144305 = 3351317946114869
BaseRepresentation
bin11111010101011101001…
…000100100110011110001
321121212011001021002012000
4133111131020210303301
5240240020313104210
64325121541524213
7311400541503561
oct37253510446361
97555131232160
102153341144305
11760254a3611a
122a93b9713669
131280a00a04a0
1476317c8ada1
153b03008aac0
hex1f55d224cf1

2153341144305 has 128 divisors (see below), whose sum is σ = 4154939712000. Its totient is φ = 1051826549760.

The previous prime is 2153341144301. The next prime is 2153341144307. The reversal of 2153341144305 is 5034411433512.

2153341144305 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 341 + 1 + 4 + 4 + 305 = 666.

It is not a de Polignac number, because 2153341144305 - 22 = 2153341144301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2153341144305.

It is not an unprimeable number, because it can be changed into a prime (2153341144301) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 144813411 + ... + 144828279.

It is an arithmetic number, because the mean of its divisors is an integer number (32460466500).

Almost surely, 22153341144305 is an apocalyptic number.

It is an amenable number.

2153341144305 is a deficient number, since it is larger than the sum of its proper divisors (2001598567695).

2153341144305 is a wasteful number, since it uses less digits than its factorization.

2153341144305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536 (or 15530 counting only the distinct ones).

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

Adding to 2153341144305 its reverse (5034411433512), we get a palindrome (7187752577817).

The spelling of 2153341144305 in words is "two trillion, one hundred fifty-three billion, three hundred forty-one million, one hundred forty-four thousand, three hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 179 195 351 461 537 585 895 1383 1611 1755 2305 2327 2685 4149 4833 5993 6915 6981 8055 11635 12447 14869 17979 20745 20943 24165 29965 34905 44607 53937 62235 62829 74345 82519 89895 104715 133821 161811 193297 223035 247557 269685 314145 401463 412595 579891 669105 742671 809055 966485 1072747 1237785 1739673 2007315 2228013 2661551 2899455 3218241 3713355 5219019 5363735 6854609 7984653 8698365 9654723 11140065 13307755 16091205 20563827 23953959 26095095 28964169 34273045 34600163 39923265 48273615 61691481 71861877 89109917 102819135 103800489 119769795 144820845 173000815 185074443 267329751 308457405 311401467 359309385 445549585 519002445 801989253 925372215 934204401 1226975011 1336648755 1557007335 2405967759 3680925033 4009946265 4671022005 6134875055 11042775099 12029838795 15950675143 18404625165 33128325297 47852025429 55213875495 79753375715 143556076287 165641626485 239260127145 430668228861 717780381435 2153341144305