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4404042240 = 29351344111
BaseRepresentation
bin1000001101000000…
…00101101000000000
3102100220222112012120
410012200011220000
533004413322430
62005001524240
7214064512203
oct40640055000
912326875176
104404042240
11195aa70134
12a2aaa3680
13552549b70
142dac8b93a
151ab986610
hex106805a00

4404042240 has 160 divisors (see below), whose sum is σ = 15162529536. Its totient is φ = 1084047360.

The previous prime is 4404042239. The next prime is 4404042263. The reversal of 4404042240 is 422404044.

It is a tau number, because it is divible by the number of its divisors (160).

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 4404042240.

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, 77785 + ... + 121895.

Almost surely, 24404042240 is an apocalyptic number.

4404042240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4404042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581264768).

4404042240 is an abundant number, since it is smaller than the sum of its proper divisors (10758487296).

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

4404042240 is a wasteful number, since it uses less digits than its factorization.

4404042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44150 (or 44134 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4404042240 is about 66362.9583427382. The cubic root of 4404042240 is about 1639.1441896146.

Adding to 4404042240 its reverse (422404044), we get a palindrome (4826446284).

The spelling of 4404042240 in words is "four billion, four hundred four million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1040 1248 1280 1536 1560 1664 1920 2080 2496 2560 3120 3328 3840 4160 4992 6240 6656 7680 8320 9984 12480 16640 19968 24960 33280 44111 49920 88222 99840 132333 176444 220555 264666 352888 441110 529332 573443 661665 705776 882220 1058664 1146886 1323330 1411552 1720329 1764440 2117328 2293772 2646660 2823104 2867215 3440658 3528880 4234656 4587544 5293320 5646208 5734430 6881316 7057760 8469312 8601645 9175088 10586640 11292416 11468860 13762632 14115520 16938624 17203290 18350176 21173280 22584832 22937720 27525264 28231040 33877248 34406580 36700352 42346560 45875440 55050528 56462080 67754496 68813160 73400704 84693120 91750880 110101056 112924160 137626320 146801408 169386240 183501760 220202112 275252640 293602816 338772480 367003520 440404224 550505280 734007040 880808448 1101010560 1468014080 2202021120 4404042240