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2114042243424 = 253149280352727
BaseRepresentation
bin11110110000110110101…
…111001010100101100000
321111002201020110001212120
4132300312233022211200
5234114024303242144
64255102210024240
7305506636402536
oct36606657124540
97432636401776
102114042243424
11745618808241
122a1870578080
13124479353697
147446a862156
1539ecede1e19
hex1ec36bca960

2114042243424 has 96 divisors (see below), whose sum is σ = 5588703993600. Its totient is φ = 699688361472.

The previous prime is 2114042243399. The next prime is 2114042243507. The reversal of 2114042243424 is 4243422404112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40067749 + ... + 40120475.

It is an arithmetic number, because the mean of its divisors is an integer number (58215666600).

Almost surely, 22114042243424 is an apocalyptic number.

2114042243424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114042243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794351996800).

2114042243424 is an abundant number, since it is smaller than the sum of its proper divisors (3474661750176).

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

2114042243424 is a wasteful number, since it uses less digits than its factorization.

2114042243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55692 (or 55684 counting only the distinct ones).

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

Adding to 2114042243424 its reverse (4243422404112), we get a palindrome (6357464647536).

The spelling of 2114042243424 in words is "two trillion, one hundred fourteen billion, forty-two million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 2803 3576 4768 5606 7152 8409 11212 14304 16818 22424 33636 44848 52727 67272 89696 105454 134544 158181 210908 269088 316362 417647 421816 632724 835294 843632 1252941 1265448 1670588 1687264 2505882 2530896 3341176 5011764 5061792 6682352 7856323 10023528 13364704 15712646 20047056 23568969 31425292 40094112 47137938 62850584 94275876 125701168 147793781 188551752 251402336 295587562 377103504 443381343 591175124 754207008 886762686 1182350248 1773525372 2364700496 3547050744 4729400992 7094101488 14188202976 22021273369 44042546738 66063820107 88085093476 132127640214 176170186952 264255280428 352340373904 528510560856 704680747808 1057021121712 2114042243424