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444044032140 = 2235109197344653
BaseRepresentation
bin1100111011000110001…
…01100011100010001100
31120110011012012000200110
412131203011203202030
524233400233012030
6535554020400020
744036552665662
oct6354305434214
91513135160613
10444044032140
11161355309665
1272085546010
1332b4748b217
14176c58a6c32
15b83d4521b0
hex676316388c

444044032140 has 96 divisors (see below), whose sum is σ = 1261102772160. Its totient is φ = 116729496576.

The previous prime is 444044032139. The next prime is 444044032151. The reversal of 444044032140 is 41230440444.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 444044032098 and 444044032107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116054 + ... + 1460706.

It is an arithmetic number, because the mean of its divisors is an integer number (13136487210).

Almost surely, 2444044032140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444044032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630551386080).

444044032140 is an abundant number, since it is smaller than the sum of its proper divisors (817058740020).

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

444044032140 is a wasteful number, since it uses less digits than its factorization.

444044032140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344971 (or 344969 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 444044032140 its reverse (41230440444), we get a palindrome (485274472584).

The spelling of 444044032140 in words is "four hundred forty-four billion, forty-four million, thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 197 218 327 394 436 545 591 654 788 985 1090 1182 1308 1635 1970 2180 2364 2955 3270 3940 5910 6540 11820 21473 42946 64419 85892 107365 128838 214730 257676 322095 344653 429460 644190 689306 1033959 1288380 1378612 1723265 2067918 3446530 4135836 5169795 6893060 10339590 20679180 37567177 67896641 75134354 112701531 135793282 150268708 187835885 203689923 225403062 271586564 339483205 375671770 407379846 450806124 563507655 678966410 751343540 814759692 1018449615 1127015310 1357932820 2036899230 2254030620 4073798460 7400733869 14801467738 22202201607 29602935476 37003669345 44404403214 74007338690 88808806428 111011008035 148014677380 222022016070 444044032140