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32540143101344 = 2567199922393391
BaseRepresentation
bin1110110011000010101111…
…01010111010010110100000
311021012210210112002011022222
413121201113222322112200
513231114203113220334
6153112422501250212
76565643036452544
oct731412752722640
9137183715064288
1032540143101344
11a40621950854a
1237965b8103968
1315206a3728798
14806d4663ba24
153b669cc3bd2e
hex1d9857aba5a0

32540143101344 has 96 divisors (see below), whose sum is σ = 65100349440000. Its totient is φ = 16007340476160.

The previous prime is 32540143101329. The next prime is 32540143101353. The reversal of 32540143101344 is 44310134104523.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9596029889 + ... + 9596033279.

It is an arithmetic number, because the mean of its divisors is an integer number (678128640000).

Almost surely, 232540143101344 is an apocalyptic number.

It is an amenable number.

32540143101344 is an abundant number, since it is smaller than the sum of its proper divisors (32560206338656).

32540143101344 is a wasteful number, since it uses less digits than its factorization.

32540143101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7706 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 32540143101344 its reverse (44310134104523), we get a palindrome (76850277205867).

The spelling of 32540143101344 in words is "thirty-two trillion, five hundred forty billion, one hundred forty-three million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 67 134 268 536 1072 1999 2144 2239 3391 3998 4478 6782 7996 8956 13564 15992 17912 27128 31984 35824 54256 63968 71648 108512 133933 150013 227197 267866 300026 454394 535732 600052 908788 1071464 1200104 1817576 2142928 2400208 3635152 4285856 4475761 4800416 6778609 7270304 7592449 8951522 13557218 15184898 17903044 27114436 30369796 35806088 54228872 60739592 71612176 108457744 121479184 143224352 216915488 242958368 299875987 454166803 508694083 599751974 908333606 1017388166 1199503948 1816667212 2034776332 2399007896 3633334424 4069552664 4798015792 7266668848 8139105328 9596031584 14533337696 15177305551 16278210656 30354611102 60709222204 121418444408 242836888816 485673777632 1016879471917 2033758943834 4067517887668 8135035775336 16270071550672 32540143101344