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9042322240 = 265713672953
BaseRepresentation
bin10000110101111011…
…01110001101000000
3212100011201120012201
420122331232031000
5122004313302430
64053132202544
7440035320340
oct103275561500
925304646181
109042322240
113920178596
121904309454
13b1147ab43
1461acb0d20
1537dc8b8ca
hex21af6e340

9042322240 has 112 divisors (see below), whose sum is σ = 24634374912. Its totient is φ = 3096907776.

The previous prime is 9042322231. The next prime is 9042322259. The reversal of 9042322240 is 422232409.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 9042322199 and 9042322208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3060604 + ... + 3063556.

It is an arithmetic number, because the mean of its divisors is an integer number (219949776).

Almost surely, 29042322240 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 9042322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12317187456).

9042322240 is an abundant number, since it is smaller than the sum of its proper divisors (15592052672).

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

9042322240 is a wasteful number, since it uses less digits than its factorization.

9042322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4344 (or 4334 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 9042322240 is about 95091.1259792416. The cubic root of 9042322240 is about 2083.3392369042.

Adding to 9042322240 its reverse (422232409), we get a palindrome (9464554649).

The spelling of 9042322240 in words is "nine billion, forty-two million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1367 2240 2734 2953 5468 5906 6835 9569 10936 11812 13670 14765 19138 20671 21872 23624 27340 29530 38276 41342 43744 47248 47845 54680 59060 76552 82684 87488 94496 95690 103355 109360 118120 153104 165368 188992 191380 206710 218720 236240 306208 330736 382760 413420 437440 472480 612416 661472 765520 826840 944960 1322944 1531040 1653680 3062080 3307360 4036751 6614720 8073502 16147004 20183755 28257257 32294008 40367510 56514514 64588016 80735020 113029028 129176032 141286285 161470040 226058056 258352064 282572570 322940080 452116112 565145140 645880160 904232224 1130290280 1291760320 1808464448 2260580560 4521161120 9042322240