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4242411244302 = 23711172141252293
BaseRepresentation
bin111101101111000011011…
…010100100101100001110
3120000120101221012211021120
4331233003122210230032
51024001424234304202
613004534204141410
7615334622405520
oct75570332445416
916016357184246
104242411244302
1113962186033a0
1258625ab37866
1324a0998c1b2a
14109495d37a10
157554c95e0bc
hex3dbc36a4b0e

4242411244302 has 128 divisors (see below), whose sum is σ = 11206019478528. Its totient is φ = 1036617369600.

The previous prime is 4242411244301. The next prime is 4242411244333. The reversal of 4242411244302 is 2034421142424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242411244301) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16689268 + ... + 16941560.

It is an arithmetic number, because the mean of its divisors is an integer number (87547027176).

Almost surely, 24242411244302 is an apocalyptic number.

4242411244302 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242411244302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603009739264).

4242411244302 is an abundant number, since it is smaller than the sum of its proper divisors (6963608234226).

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

4242411244302 is a wasteful number, since it uses less digits than its factorization.

4242411244302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254474.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4242411244302 its reverse (2034421142424), we get a palindrome (6276832386726).

The spelling of 4242411244302 in words is "four trillion, two hundred forty-two billion, four hundred eleven million, two hundred forty-four thousand, three hundred two".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 1122 1309 2141 2618 3927 4282 6423 7854 12846 14987 23551 29974 36397 44961 47102 70653 72794 89922 109191 141306 164857 218382 252293 254779 329714 400367 494571 504586 509558 756879 764337 800734 989142 1201101 1513758 1528674 1766051 2402202 2775223 2802569 3532102 4288981 5298153 5550446 5605138 8325669 8407707 8577962 10596306 12866943 16651338 16815414 19426561 25733886 30022867 38853122 47178791 58279683 60045734 90068601 94357582 116559366 141536373 180137202 283072746 330251537 540159313 660503074 990754611 1080318626 1620477939 1981509222 3240955878 3781115191 5941752443 7562230382 9182708321 11343345573 11883504886 17825257329 18365416642 22686691146 27548124963 35650514658 41592267101 55096249926 64278958247 83184534202 101009791531 124776801303 128557916494 192836874741 202019583062 249553602606 303029374593 385673749482 606058749186 707068540717 1414137081434 2121205622151 4242411244302