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1412315055135 = 345139197347367
BaseRepresentation
bin10100100011010100100…
…010011000010000011111
312000000102122221102020000
4110203110202120100133
5141114410123231020
63000450353025343
7204015324615615
oct24432442302037
95000378842200
101412315055135
114a4a61036506
121a9871555253
13a324710ac4a
144c4dbdd96b5
1526b0e3b5090
hex148d489841f

1412315055135 has 160 divisors (see below), whose sum is σ = 2577252142080. Its totient is φ = 739854114048.

The previous prime is 1412315055091. The next prime is 1412315055191. The reversal of 1412315055135 is 5315505132141.

1412315055135 is a `hidden beast` number, since 1 + 4 + 1 + 23 + 1 + 50 + 551 + 35 = 666.

It is not a de Polignac number, because 1412315055135 - 211 = 1412315053087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1412315055135.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 3848269722 + ... + 3848270088.

It is an arithmetic number, because the mean of its divisors is an integer number (16107825888).

Almost surely, 21412315055135 is an apocalyptic number.

1412315055135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1412315055135 is a deficient number, since it is larger than the sum of its proper divisors (1164937086945).

1412315055135 is a wasteful number, since it uses less digits than its factorization.

1412315055135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The spelling of 1412315055135 in words is "one trillion, four hundred twelve billion, three hundred fifteen million, fifty-five thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 135 139 197 347 367 405 417 591 695 985 1041 1101 1251 1735 1773 1835 2085 2955 3123 3303 3753 5205 5319 5505 6255 8865 9369 9909 11259 15615 15957 16515 18765 26595 27383 28107 29727 46845 48233 49545 51013 56295 68359 72299 79785 82149 127349 136915 140535 144699 148635 153039 205077 216897 241165 246447 255065 341795 361495 382047 410745 434097 459117 615231 636745 650691 723495 739341 765195 1025385 1084485 1146141 1232235 1302291 1377351 1845693 1910235 1952073 2170485 2218023 2295585 3076155 3253455 3438423 3696705 3906873 4132053 5537079 5730705 5856219 6511455 6886755 9228465 9501901 9760365 10049561 10315269 11090115 17192115 17701511 19534365 20660265 25087753 27685395 28505703 29281095 30148683 47509505 50247805 51576345 53104533 75263259 85517109 88507555 90446049 125438765 142528515 150743415 159313599 225789777 256551327 265522665 271338147 376316295 427585545 452230245 477940797 677369331 769653981 796567995 814014441 1128948885 1282756635 1356690735 1433822391 2032107993 2389703985 3386846655 3487197667 3848269905 4070072205 7169111955 10160539965 10461593001 17435988335 31384779003 52307965005 94154337009 156923895015 282463011027 470771685045 1412315055135