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4407137133644 = 227361321312459
BaseRepresentation
bin100000000100001110111…
…0101111110010001001100
3120121022120222001000201002
41000020131311332101030
51034201304101234034
613212335535435432
7633255652355000
oct100103565762114
916538528030632
104407137133644
11144a069022123
125b2171385b78
1325c78bc8547b
14113441358700
157998e259e7e
hex4021dd7e44c

4407137133644 has 96 divisors (see below), whose sum is σ = 9016722624000. Its totient is φ = 1884040482240.

The previous prime is 4407137133631. The next prime is 4407137133731. The reversal of 4407137133644 is 4463317317044.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1792246487 + ... + 1792248945.

It is an arithmetic number, because the mean of its divisors is an integer number (93924194000).

Almost surely, 24407137133644 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 4407137133644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508361312000).

4407137133644 is an abundant number, since it is smaller than the sum of its proper divisors (4609585490356).

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

4407137133644 is a wasteful number, since it uses less digits than its factorization.

4407137133644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 47.

The spelling of 4407137133644 in words is "four trillion, four hundred seven billion, one hundred thirty-seven million, one hundred thirty-three thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 613 686 1226 1372 2131 2452 2459 4262 4291 4918 8524 8582 9836 14917 17164 17213 29834 30037 34426 59668 60074 68852 104419 120148 120491 208838 210259 240982 417676 420518 481964 730933 841036 843437 1306303 1461866 1507367 1686874 2612606 2923732 3014734 3373748 5225212 5240129 6029468 9144121 10480258 10551569 18288242 20960516 21103138 36576484 36680903 42206276 64008847 73361806 73860983 128017694 146723612 147721966 256035388 256766321 295443932 448061929 513532642 517026881 896123858 1027065284 1034053762 1792247716 1797364247 2068107524 3212199077 3594728494 6424398154 7189456988 12848796308 22485393539 44970787078 89941574156 157397754773 314795509546 629591019092 1101784283411 2203568566822 4407137133644