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1444020100440 = 233559392026183
BaseRepresentation
bin10101000000110110010…
…011100001110101011000
312010001021020120121001020
4111000312103201311120
5142124323121203230
63023212414122440
7206220110222211
oct25006623416530
95101236517036
101444020100440
11507450779295
121b3a3b4b0420
13a622a7c7b98
144dc68a80408
1527867a3c810
hex150364e1d58

1444020100440 has 64 divisors (see below), whose sum is σ = 4332791865600. Its totient is φ = 385006998912.

The previous prime is 1444020100403. The next prime is 1444020100447. The reversal of 1444020100440 is 440010204441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1444020100440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444020100447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300412 + ... + 1725771.

It is an arithmetic number, because the mean of its divisors is an integer number (67699872900).

Almost surely, 21444020100440 is an apocalyptic number.

1444020100440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444020100440 is an abundant number, since it is smaller than the sum of its proper divisors (2888771765160).

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

1444020100440 is a wasteful number, since it uses less digits than its factorization.

1444020100440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032136 (or 2032132 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1444020100440 its reverse (440010204441), we get a palindrome (1884030304881).

The spelling of 1444020100440 in words is "one trillion, four hundred forty-four billion, twenty million, one hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 5939 11878 17817 23756 29695 35634 47512 59390 71268 89085 118780 142536 178170 237560 356340 712680 2026183 4052366 6078549 8104732 10130915 12157098 16209464 20261830 24314196 30392745 40523660 48628392 60785490 81047320 121570980 243141960 12033500837 24067001674 36100502511 48134003348 60167504185 72201005022 96268006696 120335008370 144402010044 180502512555 240670016740 288804020088 361005025110 481340033480 722010050220 1444020100440