Search a number
-
+
1377118095327 = 341321011815503
BaseRepresentation
bin10100000010100010101…
…000101000011111011111
311212122120201122121020000
4110002202220220133133
5140030314213022302
62532350032025343
7201331161446502
oct24024250503737
94778521577200
101377118095327
1149103a299677
121a2a8a092253
139cb28155a00
144a91d69d139
1525c4e3cb31c
hex140a2a287df

1377118095327 has 120 divisors (see below), whose sum is σ = 2262488836608. Its totient is φ = 834279264000.

The previous prime is 1377118095257. The next prime is 1377118095343. The reversal of 1377118095327 is 7235908117731.

1377118095327 is a `hidden beast` number, since 1 + 37 + 71 + 1 + 8 + 0 + 9 + 532 + 7 = 666.

It is not a de Polignac number, because 1377118095327 - 28 = 1377118095071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377118095427) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 250245858 + ... + 250251360.

Almost surely, 21377118095327 is an apocalyptic number.

1377118095327 is a deficient number, since it is larger than the sum of its proper divisors (885370741281).

1377118095327 is a wasteful number, since it uses less digits than its factorization.

1377118095327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 1377118095327 in words is "one trillion, three hundred seventy-seven billion, one hundred eighteen million, ninety-five thousand, three hundred twenty-seven".

Divisors: 1 3 9 13 27 39 81 101 117 169 181 303 351 507 543 909 1053 1313 1521 1629 2353 2727 3939 4563 4887 5503 7059 8181 11817 13689 14661 16509 17069 18281 21177 30589 35451 49527 51207 54843 63531 71539 91767 106353 148581 153621 164529 190593 214617 237653 275301 445743 460863 493587 555803 643851 712959 825903 930007 996043 1382589 1480761 1667409 1931553 2138877 2477709 2790021 2988129 3089489 5002227 5794659 6416631 7225439 8370063 8964387 9268467 12948559 15006681 19249893 21676317 25110189 26893161 27805401 38845677 45020043 65028951 75330567 80679483 83416203 93930707 100600343 116537031 168331267 195086853 250248609 281792121 301801029 349611093 504993801 585260559 845376363 905403087 1048833279 1307804459 1514981403 2536129089 2716209261 3923413377 4544944209 7608387267 8148627783 11770240131 13634832627 17001457967 35310720393 51004373901 105932161179 153013121703 459039365109 1377118095327