Search a number
-
+
144133761960 = 23345371202317
BaseRepresentation
bin1000011000111100001…
…0101010101110101000
3111210000221002202010000
42012033002222232220
54330141220340320
6150114130423000
713261524522306
oct2061702525650
9453027082100
10144133761960
1156143829741
1223b26131a60
13107901185a6
146d94641276
153b38ab9c90
hex218f0aaba8

144133761960 has 160 divisors (see below), whose sum is σ = 497543234760. Its totient is φ = 37396836864.

The previous prime is 144133761931. The next prime is 144133762027. The reversal of 144133761960 is 69167331441.

144133761960 is a `hidden beast` number, since 14 + 4 + 13 + 3 + 7 + 619 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143824494564 + 309267396 = 379242^2 + 17586^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 481279 + ... + 721038.

Almost surely, 2144133761960 is an apocalyptic number.

144133761960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144133761960 is an abundant number, since it is smaller than the sum of its proper divisors (353409472800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144133761960 is a wasteful number, since it uses less digits than its factorization.

144133761960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202377 (or 1202364 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 144133761960 in words is "one hundred forty-four billion, one hundred thirty-three million, seven hundred sixty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 360 370 405 444 540 555 648 666 740 810 888 999 1080 1110 1332 1480 1620 1665 1998 2220 2664 2997 3240 3330 3996 4440 4995 5994 6660 7992 9990 11988 13320 14985 19980 23976 29970 39960 59940 119880 1202317 2404634 3606951 4809268 6011585 7213902 9618536 10820853 12023170 14427804 18034755 21641706 24046340 28855608 32462559 36069510 43283412 44485729 48092680 54104265 64925118 72139020 86566824 88971458 97387677 108208530 129850236 133457187 144278040 162312795 177942916 194775354 216417060 222428645 259700472 266914374 324625590 355885832 389550708 400371561 432834120 444857290 486938385 533828748 649251180 667285935 779101416 800743122 889714580 973876770 1067657496 1201114683 1298502360 1334571870 1601486244 1779429160 1947753540 2001857805 2402229366 2669143740 3202972488 3603344049 3895507080 4003715610 4804458732 5338287480 6005573415 7206688098 8007431220 9608917464 12011146830 14413376196 16014862440 18016720245 24022293660 28826752392 36033440490 48044587320 72066880980 144133761960