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4443407003340 = 223251249154312809
BaseRepresentation
bin100000010101000111110…
…1100100010111011001100
3120201210012200012022101100
41000222033230202323030
51040300044143101330
613241134544543100
7636011524231224
oct100521754427314
916653180168340
104443407003340
111463490461048
125b91b4021a90
1326301c2c4a26
141150c2381084
157a8b3528060
hex40a8fb22ecc

4443407003340 has 144 divisors (see below), whose sum is σ = 13498921800000. Its totient is φ = 1183100166144.

The previous prime is 4443407003323. The next prime is 4443407003353. The reversal of 4443407003340 is 433007043444.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4443407003295 and 4443407003304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346890856 + ... + 346903664.

It is an arithmetic number, because the mean of its divisors is an integer number (93742512500).

Almost surely, 24443407003340 is an apocalyptic number.

It is an amenable number.

4443407003340 is an abundant number, since it is smaller than the sum of its proper divisors (9055514796660).

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

4443407003340 is a wasteful number, since it uses less digits than its factorization.

4443407003340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15616 (or 15611 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 36.

The spelling of 4443407003340 in words is "four trillion, four hundred forty-three billion, four hundred seven million, three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1249 1543 2498 3086 3747 4629 4996 6172 6245 7494 7715 9258 11241 12490 12809 13887 14988 15430 18516 18735 22482 23145 24980 25618 27774 30860 37470 38427 44964 46290 51236 55548 56205 64045 69435 74940 76854 92580 112410 115281 128090 138870 153708 192135 224820 230562 256180 277740 384270 461124 576405 768540 1152810 1927207 2305620 3854414 5781621 7708828 9636035 11563242 15998441 17344863 19272070 19764287 23126484 28908105 31996882 34689726 38544140 39528574 47995323 57816210 59292861 63993764 69379452 79057148 79992205 86724315 95990646 98821435 115632420 118585722 143985969 159984410 173448630 177878583 191981292 197642870 237171444 239976615 287971938 296464305 319968820 346897260 355757166 395285740 479953230 575943876 592928610 711514332 719929845 889392915 959906460 1185857220 1439859690 1778785830 2879719380 3557571660 24685594463 49371188926 74056783389 98742377852 123427972315 148113566778 222170350167 246855944630 296227133556 370283916945 444340700334 493711889260 740567833890 888681400668 1110851750835 1481135667780 2221703501670 4443407003340