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4444144311320 = 235722267420567
BaseRepresentation
bin100000010101011101110…
…1001001001110000011000
3120201212010001120102210022
41000222323221021300120
51040303101420430240
613241340044010012
7636036016236200
oct100527351116030
916655101512708
104444144311320
11146382967248a
125b937ab30908
13263108c9753c
1411515226b400
157a9081199b5
hex40abba49c18

4444144311320 has 48 divisors (see below), whose sum is σ = 11631867513840. Its totient is φ = 1523706620352.

The previous prime is 4444144311259. The next prime is 4444144311323. The reversal of 4444144311320 is 231134414444.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444144311323) 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, 1133708324 + ... + 1133712243.

It is an arithmetic number, because the mean of its divisors is an integer number (242330573205).

Almost surely, 24444144311320 is an apocalyptic number.

4444144311320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444144311320 is an abundant number, since it is smaller than the sum of its proper divisors (7187723202520).

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

4444144311320 is a wasteful number, since it uses less digits than its factorization.

4444144311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267420592 (or 2267420581 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 4444144311320 its reverse (231134414444), we get a palindrome (4675278725764).

The spelling of 4444144311320 in words is "four trillion, four hundred forty-four billion, one hundred forty-four million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 2267420567 4534841134 9069682268 11337102835 15871943969 18139364536 22674205670 31743887938 45348411340 63487775876 79359719845 90696822680 111103607783 126975551752 158719439690 222207215566 317438879380 444414431132 555518038915 634877758760 888828862264 1111036077830 2222072155660 4444144311320