Search a number
-
+
44423120402320 = 24511412052159999
BaseRepresentation
bin10100001100111000100000…
…10011111011011110010000
312211021210211122022012202111
422012130100103323132100
521310312022310333240
6234251411052555104
712233315223115462
oct1206342023733620
9184253748265674
1044423120402320
11131778153a4550
124b955b9182a94
131ba310b9c875a
14ad813a48c132
155208322651ea
hex2867104fb790

44423120402320 has 160 divisors (see below), whose sum is σ = 115428862080000. Its totient is φ = 15758834688000.

The previous prime is 44423120402273. The next prime is 44423120402363. The reversal of 44423120402320 is 2320402132444.

It is a super-2 number, since 2×444231204023202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 740367681 + ... + 740427679.

It is an arithmetic number, because the mean of its divisors is an integer number (721430388000).

Almost surely, 244423120402320 is an apocalyptic number.

44423120402320 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 44423120402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57714431040000).

44423120402320 is an abundant number, since it is smaller than the sum of its proper divisors (71005741677680).

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

44423120402320 is a wasteful number, since it uses less digits than its factorization.

44423120402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80585 (or 80579 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 44423120402320 its reverse (2320402132444), we get a palindrome (46743522534764).

The spelling of 44423120402320 in words is "forty-four trillion, four hundred twenty-three billion, one hundred twenty million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 4510 7216 9020 18040 20521 36080 41042 59999 82084 102605 119998 164168 205210 225731 239996 299995 328336 410420 451462 479992 599990 659989 820840 841361 902924 959984 1128655 1199980 1319978 1641680 1682722 1805848 2257310 2399960 2459959 2639956 3299945 3365444 3611696 4206805 4514620 4799920 4919918 5279912 6599890 6730888 8413610 9029240 9254971 9839836 10559824 12299795 13199780 13461776 16827220 18058480 18509942 19679672 24599590 26399560 27059549 33654440 37019884 39359344 46274855 49199180 52799120 54119098 67308880 74039768 92549710 98398360 108238196 135297745 148079536 185099420 196796720 216476392 270595490 370198840 432952784 541190980 740397680 1082381960 1231239479 2164763920 2462478958 4924957916 6156197395 9849915832 12312394790 13543634269 19699831664 24624789580 27087268538 49249579160 50480818639 54174537076 67718171345 98499158320 100961637278 108349074152 135436342690 201923274556 216698148304 252404093195 270872685380 403846549112 504808186390 541745370760 555289005029 807693098224 1009616372780 1083490741520 1110578010058 2019232745560 2221156020116 2776445025145 4038465491120 4442312040232 5552890050290 8884624080464 11105780100580 22211560201160 44423120402320