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4242043413000 = 233353157112719
BaseRepresentation
bin111101101110101101011…
…111011010001000001000
3120000112110022002001121000
4331232231133122020020
51024000201103204000
613004433504215000
7615322535034201
oct75565537321010
916015408061530
104242043413000
111396049a0a288
1258617790a460
1324a03b634683
1410945d1485a8
157552a502000
hex3dbad7da208

4242043413000 has 128 divisors (see below), whose sum is σ = 14705750592000. Its totient is φ = 1131211569600.

The previous prime is 4242043412983. The next prime is 4242043413011. The reversal of 4242043413000 is 3143402424.

It is a happy number.

4242043413000 is a `hidden beast` number, since 4 + 242 + 0 + 4 + 3 + 413 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78529360 + ... + 78583359.

It is an arithmetic number, because the mean of its divisors is an integer number (114888676500).

Almost surely, 24242043413000 is an apocalyptic number.

4242043413000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4242043413000 is an abundant number, since it is smaller than the sum of its proper divisors (10463707179000).

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

4242043413000 is a wasteful number, since it uses less digits than its factorization.

4242043413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157112749 (or 157112729 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4242043413000 its reverse (3143402424), we get a palindrome (4245186815424).

The spelling of 4242043413000 in words is "four trillion, two hundred forty-two billion, forty-three million, four hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 157112719 314225438 471338157 628450876 785563595 942676314 1256901752 1414014471 1571127190 1885352628 2356690785 2828028942 3142254380 3770705256 3927817975 4242043413 4713381570 5656057884 6284508760 7070072355 7855635950 8484086826 9426763140 11312115768 11783453925 14140144710 15711271900 16968173652 18853526280 19639089875 21210217065 23566907850 28280289420 31422543800 33936347304 35350361775 39278179750 42420434130 47133815700 56560578840 58917269625 70700723550 78556359500 84840868260 94267631400 106051085325 117834539250 141401447100 157112719000 169681736520 176751808875 212102170650 235669078500 282802894200 353503617750 424204341300 471338157000 530255426625 707007235500 848408682600 1060510853250 1414014471000 2121021706500 4242043413000