Search a number
-
+
6944285040 = 2435711375773
BaseRepresentation
bin1100111011110100…
…10110000101110000
3122220221220020020020
412131322112011300
5103210214110130
63105024043440
7334041306660
oct63572260560
918827806206
106944285040
112a43960150
121419763580
138688c9504
1449c3b61a0
152a99b0e10
hex19de96170

6944285040 has 160 divisors (see below), whose sum is σ = 26839282176. Its totient is φ = 1442964480.

The previous prime is 6944285039. The next prime is 6944285123. The reversal of 6944285040 is 405824496.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6944284983 and 6944285001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169407 + ... + 206366.

Almost surely, 26944285040 is an apocalyptic number.

6944285040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6944285040 is an abundant number, since it is smaller than the sum of its proper divisors (19894997136).

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

6944285040 is a wasteful number, since it uses less digits than its factorization.

6944285040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375807 (or 375801 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 6944285040 is about 83332.3769011781. The cubic root of 6944285040 is about 1907.8424730075.

The spelling of 6944285040 in words is "six billion, nine hundred forty-four million, two hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 375773 751546 1127319 1503092 1878865 2254638 2630411 3006184 3757730 4133503 4509276 5260822 5636595 6012368 7515460 7891233 8267006 9018552 10521644 11273190 12400509 13152055 15030920 15782466 16534012 18037104 20667515 21043288 22546380 24801018 26304110 28934521 30061840 31564932 33068024 39456165 41335030 42086576 45092760 49602036 52608220 57869042 62002545 63129864 66136048 78912330 82670060 86803563 90185520 99204072 105216440 115738084 124005090 126259728 144672605 157824660 165340120 173607126 198408144 210432880 231476168 248010180 289345210 315649320 330680240 347214252 434017815 462952336 496020360 578690420 631298640 694428504 868035630 992040720 1157380840 1388857008 1736071260 2314761680 3472142520 6944285040