Search a number
-
+
1034141443440 = 243571944131663
BaseRepresentation
bin11110000110001111010…
…00100010010101110000
310122212022002120110020020
433003013220202111300
5113420410202142230
62111024504043440
7134466663143010
oct17030750422560
93585262513206
101034141443440
11369638980756
1214850ba63580
1376699676691
14380a4903c40
151bd78c54810
hexf0c7a22570

1034141443440 has 160 divisors (see below), whose sum is σ = 3664119576576. Its totient is φ = 236355563520.

The previous prime is 1034141443381. The next prime is 1034141443457. The reversal of 1034141443440 is 443441414301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32645049 + ... + 32676711.

Almost surely, 21034141443440 is an apocalyptic number.

1034141443440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034141443440 is an abundant number, since it is smaller than the sum of its proper divisors (2629978133136).

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

1034141443440 is a wasteful number, since it uses less digits than its factorization.

1034141443440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51127 (or 51121 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 1034141443440 its reverse (443441414301), we get a palindrome (1477582857741).

The spelling of 1034141443440 in words is "one trillion, thirty-four billion, one hundred forty-one million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 19441 31663 38882 58323 63326 77764 94989 97205 116646 126652 136087 155528 158315 189978 194410 221641 233292 253304 272174 291615 311056 316630 379956 388820 408261 443282 466584 474945 506608 544348 583230 633260 664923 680435 759912 777640 816522 886564 933168 949890 1088696 1108205 1166460 1266520 1329846 1360870 1519824 1555280 1633044 1773128 1899780 2041305 2177392 2216410 2332920 2533040 2659692 2721740 3266088 3324615 3546256 3799560 4082610 4432820 4665840 5319384 5443480 6532176 6649230 7599120 8165220 8865640 10638768 10886960 13298460 16330440 17731280 26596920 32660880 53193840 615560383 1231120766 1846681149 2462241532 3077801915 3693362298 4308922681 4924483064 6155603830 7386724596 8617845362 9233405745 9848966128 12311207660 12926768043 14773449192 17235690724 18466811490 21544613405 24622415320 25853536086 29546898384 34471381448 36933622980 43089226810 49244830640 51707072172 64633840215 68942762896 73867245960 86178453620 103414144344 129267680430 147734491920 172356907240 206828288688 258535360860 344713814480 517070721720 1034141443440