Search a number
-
+
14220033554052 = 22321492926458633
BaseRepresentation
bin1100111011101101110000…
…0011000111011010000100
31212100102101120212122000100
43032323130003013122010
53330440112042212202
650124332045444100
72665235454611514
oct316733403073204
955312346778010
1014220033554052
114592756253527
121717b30570630
137c1c35898601
1437237908b844
15199d6801a41c
hexceedc0c7684

14220033554052 has 36 divisors (see below), whose sum is σ = 35947493911420. Its totient is φ = 4739693501952.

The previous prime is 14220033554029. The next prime is 14220033554053. The reversal of 14220033554052 is 25045533002241.

14220033554052 is a `hidden beast` number, since 1 + 4 + 2 + 20 + 0 + 33 + 554 + 0 + 52 = 666.

14220033554052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8800561297476 + 5419472256576 = 2966574^2 + 2327976^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14220033553998 and 14220033554016.

It is not an unprimeable number, because it can be changed into a prime (14220033554053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12691873 + ... + 13766760.

Almost surely, 214220033554052 is an apocalyptic number.

14220033554052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14220033554052 is an abundant number, since it is smaller than the sum of its proper divisors (21727460357368).

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

14220033554052 is a wasteful number, since it uses less digits than its factorization.

14220033554052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26473572 (or 26473567 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 14220033554052 its reverse (25045533002241), we get a palindrome (39265566556293).

The spelling of 14220033554052 in words is "fourteen trillion, two hundred twenty billion, thirty-three million, five hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 14929 29858 44787 59716 89574 134361 179148 268722 537444 26458633 52917266 79375899 105834532 158751798 238127697 317503596 476255394 952510788 395000932057 790001864114 1185002796171 1580003728228 2370005592342 3555008388513 4740011184684 7110016777026 14220033554052