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4224154400144 = 24725387952041
BaseRepresentation
bin111101011110000011001…
…110001111010110010000
3112221211021120202001022022
4331132003032033112100
51023202032011301034
612552314424431012
7614120324654600
oct75360316172620
915854246661268
104224154400144
1113894aa043138
12582804918468
1324844a3c3873
1410864336cc00
1574d2ec6db2e
hex3d78338f590

4224154400144 has 30 divisors (see below), whose sum is σ = 9520511258214. Its totient is φ = 1810351885440.

The previous prime is 4224154400113. The next prime is 4224154400197. The reversal of 4224154400144 is 4410044514224.

It can be written as a sum of positive squares in only one way, i.e., 3015737881744 + 1208416518400 = 1736588^2 + 1099280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2693975237 + ... + 2693976804.

Almost surely, 24224154400144 is an apocalyptic number.

It is an amenable number.

4224154400144 is an abundant number, since it is smaller than the sum of its proper divisors (5296356858070).

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

4224154400144 is a wasteful number, since it uses less digits than its factorization.

4224154400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387952063 (or 5387952050 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 35.

Adding to 4224154400144 its reverse (4410044514224), we get a palindrome (8634198914368).

The spelling of 4224154400144 in words is "four trillion, two hundred twenty-four billion, one hundred fifty-four million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 5387952041 10775904082 21551808164 37715664287 43103616328 75431328574 86207232656 150862657148 264009650009 301725314296 528019300018 603450628592 1056038600036 2112077200072 4224154400144