Search a number
-
+
1230242034000 = 24353729291477
BaseRepresentation
bin10001111001110000001…
…000111011000101010000
311100121110200102121120210
4101321300020323011100
5130124013430042000
62341055420204120
7154611354515250
oct21716010730520
94317420377523
101230242034000
11434819612921
1217a519699640
138c01bb63695
1443788b77960
1522004bc3350
hex11e7023b150

1230242034000 has 160 divisors (see below), whose sum is σ = 4532914803456. Its totient is φ = 281198169600.

The previous prime is 1230242033963. The next prime is 1230242034013. The reversal of 1230242034000 is 4302420321.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 14603739 + ... + 14687738.

Almost surely, 21230242034000 is an apocalyptic number.

1230242034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1230242034000 is an abundant number, since it is smaller than the sum of its proper divisors (3302672769456).

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

1230242034000 is a wasteful number, since it uses less digits than its factorization.

1230242034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29291510 (or 29291494 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 1230242034000 its reverse (4302420321), we get a palindrome (1234544454321).

The spelling of 1230242034000 in words is "one trillion, two hundred thirty billion, two hundred forty-two million, thirty-four thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 29291477 58582954 87874431 117165908 146457385 175748862 205040339 234331816 292914770 351497724 410080678 439372155 468663632 585829540 615121017 702995448 732286925 820161356 878744310 1025201695 1171659080 1230242034 1405990896 1464573850 1640322712 1757488620 2050403390 2196860775 2343318160 2460484068 2929147700 3075605085 3280645424 3514977240 3661434625 4100806780 4393721550 4920968136 5126008475 5858295400 6151210170 7029954480 7322869250 8201613560 8787443100 9841936272 10252016950 10984303875 11716590800 12302420340 14645738500 15378025425 16403227120 17574886200 20504033900 21968607750 24604840680 25630042375 29291477000 30756050850 35149772400 41008067800 43937215500 49209681360 51260084750 58582954000 61512101700 76890127125 82016135600 87874431000 102520169500 123024203400 153780254250 175748862000 205040339000 246048406800 307560508500 410080678000 615121017000 1230242034000