Search a number
-
+
142763499999999 = 3410779733716131
BaseRepresentation
bin100000011101011110110111…
…101101000101001011111111
3200201111001112210001000110000
4200131132313231011023333
5122203014121444444444
61223344351350445343
742033215421515034
oct4035366755051377
9621431483030400
10142763499999999
1141541729a0556a
1214018633363853
1361877040084a8
142737b0c6d338b
1511789161d1469
hex81d7b7b452ff

142763499999999 has 80 divisors (see below), whose sum is σ = 215626299267456. Its totient is φ = 94124583662400.

The previous prime is 142763499999979. The next prime is 142763500000031. The reversal of 142763499999999 is 999999994367241.

142763499999999 is a `hidden beast` number, since 1 + 42 + 7 + 63 + 499 + 9 + 9 + 9 + 9 + 9 + 9 = 666.

It is not a de Polignac number, because 142763499999999 - 213 = 142763499991807 is a prime.

142763499999999 is a modest number, since divided by 99999999 gives 1427634 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142763499999919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23285513164 + ... + 23285519294.

Almost surely, 2142763499999999 is an apocalyptic number.

142763499999999 is a deficient number, since it is larger than the sum of its proper divisors (72862799267457).

142763499999999 is a wasteful number, since it uses less digits than its factorization.

142763499999999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10418 (or 10409 counting only the distinct ones).

The product of its digits is 173564379072, while the sum is 99.

The spelling of 142763499999999 in words is "one hundred forty-two trillion, seven hundred sixty-three billion, four hundred ninety-nine million, nine hundred ninety-nine thousand, nine hundred ninety-nine".

Divisors: 1 3 9 27 81 107 321 797 963 2391 2889 3371 6131 7173 8667 10113 18393 21519 30339 55179 64557 85279 91017 165537 255837 273051 360697 496611 656017 767511 1082091 1968051 2302533 2686687 3246273 4886407 5904153 6907599 8060061 9738819 14659221 17712459 20667601 24180183 29216457 43977663 53137377 62002803 72540549 131932989 186008409 217621647 287475509 395798967 522845549 558025227 862426527 1568536647 1674075681 2211433307 2587279581 4705609941 6634299921 7761838743 14116829823 16472077997 19902899763 23285516229 42350489469 49416233991 59708699289 148248701973 179126097867 444746105919 1334238317757 1762512345679 5287537037037 15862611111111 47587833333333 142763499999999