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20153440442144 = 254753252828187
BaseRepresentation
bin1001001010100010101101…
…01010001001011100100000
32122100122112220201120220102
410211101112222021130200
510120143221223122034
6110510210203201532
74150016020166462
oct445212652113440
978318486646812
1020153440442144
1164700318042a9
122315a565162a8
13b325cc578b79
144d9608906132
1524e385a0a97e
hex125456a89720

20153440442144 has 48 divisors (see below), whose sum is σ = 41285831787648. Its totient is φ = 9676240334592.

The previous prime is 20153440442141. The next prime is 20153440442159. The reversal of 20153440442144 is 44124404435102.

It is a super-2 number, since 2×201534404421442 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20153440442098 and 20153440442107.

It is not an unprimeable number, because it can be changed into a prime (20153440442141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126334382 + ... + 126493805.

It is an arithmetic number, because the mean of its divisors is an integer number (860121495576).

Almost surely, 220153440442144 is an apocalyptic number.

It is an amenable number.

20153440442144 is an abundant number, since it is smaller than the sum of its proper divisors (21132391345504).

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

20153440442144 is a wasteful number, since it uses less digits than its factorization.

20153440442144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252828297 (or 252828289 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 38.

Adding to 20153440442144 its reverse (44124404435102), we get a palindrome (64277844877246).

The spelling of 20153440442144 in words is "twenty trillion, one hundred fifty-three billion, four hundred forty million, four hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 53 94 106 188 212 376 424 752 848 1504 1696 2491 4982 9964 19928 39856 79712 252828187 505656374 1011312748 2022625496 4045250992 8090501984 11882924789 13399893911 23765849578 26799787822 47531699156 53599575644 95063398312 107199151288 190126796624 214398302576 380253593248 428796605152 629795013817 1259590027634 2519180055268 5038360110536 10076720221072 20153440442144