Search a number
-
+
20140220242304 = 271731994570409
BaseRepresentation
bin1001001010001010000101…
…01011000101100110000000
32122022101102120120212001022
410211011002223011212000
510114434132340223204
6110500142304325012
74146040301304011
oct445050253054600
978271376525038
1020140220242304
1164654682aa508
122313387013768
13b312a3699806
144d8b12c1b008
1524dd600ae5be
hex125142ac5980

20140220242304 has 64 divisors (see below), whose sum is σ = 40557818340000. Its totient is φ = 9961588150272.

The previous prime is 20140220242297. The next prime is 20140220242369. The reversal of 20140220242304 is 40324202204102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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, 2121452 + ... + 6691860.

Almost surely, 220140220242304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20140220242304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20278909170000).

20140220242304 is an abundant number, since it is smaller than the sum of its proper divisors (20417598097696).

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

20140220242304 is a wasteful number, since it uses less digits than its factorization.

20140220242304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4570795 (or 4570783 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 20140220242304 its reverse (40324202204102), we get a palindrome (60464422446406).

The spelling of 20140220242304 in words is "twenty trillion, one hundred forty billion, two hundred twenty million, two hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 173 199 346 398 692 796 1384 1592 2768 3184 5536 6368 11072 12736 22144 25472 34427 68854 137708 275416 550832 1101664 2203328 4406656 4570409 9140818 18281636 36563272 73126544 146253088 292506176 585012352 790680757 909511391 1581361514 1819022782 3162723028 3638045564 6325446056 7276091128 12650892112 14552182256 25301784224 29104364512 50603568448 58208729024 101207136896 116417458048 157345470643 314690941286 629381882572 1258763765144 2517527530288 5035055060576 10070110121152 20140220242304