Search a number
-
+
1254042534000 = 24353297207141
BaseRepresentation
bin10010001111111010110…
…000101000000001110000
311102212220101021021201210
4102033322300220001300
5131021234342042000
62400033231400120
7156413225443134
oct22177260500160
94385811237653
101254042534000
11443922354833
12183060383040
1391342a1c189
14449a5ac13c4
1522949408350
hex123fac28070

1254042534000 has 160 divisors (see below), whose sum is σ = 4182448645440. Its totient is φ = 322879872000.

The previous prime is 1254042533987. The next prime is 1254042534061. The reversal of 1254042534000 is 4352404521.

It is a super-2 number, since 2×12540425340002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 3429571 + ... + 3777570.

It is an arithmetic number, because the mean of its divisors is an integer number (26140304034).

Almost surely, 21254042534000 is an apocalyptic number.

1254042534000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1254042534000 is an abundant number, since it is smaller than the sum of its proper divisors (2928406111440).

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

1254042534000 is a wasteful number, since it uses less digits than its factorization.

1254042534000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7207196 (or 7207180 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 1254042534000 its reverse (4352404521), we get a palindrome (1258394938521).

The spelling of 1254042534000 in words is "one trillion, two hundred fifty-four billion, forty-two million, five hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 174 200 232 240 250 290 300 348 375 400 435 464 500 580 600 696 725 750 870 1000 1160 1200 1392 1450 1500 1740 2000 2175 2320 2900 3000 3480 3625 4350 5800 6000 6960 7250 8700 10875 11600 14500 17400 21750 29000 34800 43500 58000 87000 174000 7207141 14414282 21621423 28828564 36035705 43242846 57657128 72071410 86485692 108107115 115314256 144142820 172971384 180178525 209007089 216214230 288285640 345942768 360357050 418014178 432428460 540535575 576571280 627021267 720714100 836028356 864856920 900892625 1045035445 1081071150 1254042534 1441428200 1672056712 1729713840 1801785250 2090070890 2162142300 2508085068 2702677875 2882856400 3135106335 3344113424 3603570500 4180141780 4324284600 5016170136 5225177225 5405355750 6270212670 7207141000 8360283560 8648569200 10032340272 10450354450 10810711500 12540425340 14414282000 15675531675 16720567120 20900708900 21621423000 25080850680 26125886125 31351063350 41801417800 43242846000 50161701360 52251772250 62702126700 78377658375 83602835600 104503544500 125404253400 156755316750 209007089000 250808506800 313510633500 418014178000 627021267000 1254042534000