Search a number
-
+
1442880320355 = 335371275234349
BaseRepresentation
bin10100111111110010010…
…111100111001101100011
312002221022210212202201000
4110333302113213031203
5142120004330222410
63022503340443043
7206146630235205
oct24776227471543
95087283782630
101442880320355
11506a16363681
121b3781849483
13a60a86297b6
144db9b548775
15277ec949dc0
hex14ff25e7363

1442880320355 has 128 divisors (see below), whose sum is σ = 2660880384000. Its totient is φ = 741251492352.

The previous prime is 1442880320347. The next prime is 1442880320381. The reversal of 1442880320355 is 5530230882441.

1442880320355 is a `hidden beast` number, since 1 + 44 + 288 + 0 + 320 + 3 + 5 + 5 = 666.

It is not a de Polignac number, because 1442880320355 - 23 = 1442880320347 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1442880320355.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 331770721 + ... + 331775069.

It is an arithmetic number, because the mean of its divisors is an integer number (20788128000).

Almost surely, 21442880320355 is an apocalyptic number.

1442880320355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1442880320355 is a deficient number, since it is larger than the sum of its proper divisors (1218000063645).

1442880320355 is a wasteful number, since it uses less digits than its factorization.

1442880320355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1442880320355 in words is "one trillion, four hundred forty-two billion, eight hundred eighty million, three hundred twenty thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 27 37 45 111 127 135 185 333 381 523 555 635 999 1143 1569 1665 1905 2615 3429 4349 4699 4707 4995 5715 7845 13047 14097 14121 17145 19351 21745 23495 23535 39141 42291 58053 65235 66421 70485 70605 96755 117423 126873 160913 174159 195705 199263 211455 290265 332105 482739 522477 552323 587115 597789 634365 804565 870795 996315 1448217 1656969 1793367 2274527 2413695 2457577 2612385 2761615 2988945 4344651 4970907 6823581 7241085 7372731 8284845 8966835 11372635 12287885 14912721 20435951 20470743 21723255 22118193 24854535 34117905 36863655 61307853 61412229 66354579 74563605 84157499 102179755 102353715 110590965 183923559 252472497 288864929 306539265 307061145 331772895 420787495 551770677 757417491 866594787 919617795 1262362485 1444324645 2272252473 2599784361 2758853385 3787087455 4332973935 7799353083 10688002373 11361262365 12998921805 32064007119 38996765415 53440011865 96192021357 160320035595 288576064071 480960106785 1442880320355