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140042241112224 = 25311132615758629
BaseRepresentation
bin11111110101111000100000…
…000010001111100010100000
3200100211220111120100101010010
4133311320200002033202200
5121323423002211042344
61213502303432404520
741332501166565543
oct3765704002174240
9610756446311103
10140042241112224
114069264323a050
121385915b246740
13601ac07b8a469
14268211b39885a
15112cc47b118b9
hex7f5e2008f8a0

140042241112224 has 48 divisors (see below), whose sum is σ = 401030054097120. Its totient is φ = 42437042760960.

The previous prime is 140042241112171. The next prime is 140042241112237. The reversal of 140042241112224 is 422211142240041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1400422411122242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140042241112191 and 140042241112200.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66307878259 + ... + 66307880370.

It is an arithmetic number, because the mean of its divisors is an integer number (8354792793690).

Almost surely, 2140042241112224 is an apocalyptic number.

It is an amenable number.

140042241112224 is an abundant number, since it is smaller than the sum of its proper divisors (260987812984896).

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

140042241112224 is a wasteful number, since it uses less digits than its factorization.

140042241112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132615758653 (or 132615758645 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 140042241112224 its reverse (422211142240041), we get a palindrome (562253383352265).

The spelling of 140042241112224 in words is "one hundred forty trillion, forty-two billion, two hundred forty-one million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 132615758629 265231517258 397847275887 530463034516 795694551774 1060926069032 1458773344919 1591389103548 2121852138064 2917546689838 3182778207096 4243704276128 4376320034757 5835093379676 6365556414192 8752640069514 11670186759352 12731112828384 17505280139028 23340373518704 35010560278056 46680747037408 70021120556112 140042241112224