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44014214152305 = 345437931992073
BaseRepresentation
bin10100000000111110110111…
…00110011000000001110001
312202211201101021001110120000
422000133123212120001301
521232112102310333210
6233335503440540213
712161631154255125
oct1200373346300161
9182751337043500
1044014214152305
111302a361493751
124b2a2bb321669
131b736a4172bb7
14ac2429519585
15514d9da0cac0
hex2807db998071

44014214152305 has 80 divisors (see below), whose sum is σ = 81756384948480. Its totient is φ = 22638102020352.

The previous prime is 44014214152283. The next prime is 44014214152331. The reversal of 44014214152305 is 50325141241044.

44014214152305 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 4 + 2 + 1 + 415 + 230 + 5 = 666.

It is not a de Polignac number, because 44014214152305 - 225 = 44014180597873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 44014214152305.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14620252 + ... + 17371821.

It is an arithmetic number, because the mean of its divisors is an integer number (1021954811856).

Almost surely, 244014214152305 is an apocalyptic number.

44014214152305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

44014214152305 is a deficient number, since it is larger than the sum of its proper divisors (37742170796175).

44014214152305 is a wasteful number, since it uses less digits than its factorization.

44014214152305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31992212 (or 31992203 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 44014214152305 its reverse (50325141241044), we get a palindrome (94339355393349).

The spelling of 44014214152305 in words is "forty-four trillion, fourteen billion, two hundred fourteen million, one hundred fifty-two thousand, three hundred five".

Divisors: 1 3 5 9 15 27 43 45 79 81 129 135 215 237 387 395 405 645 711 1161 1185 1935 2133 3397 3483 3555 5805 6399 10191 10665 16985 17415 30573 31995 50955 91719 152865 275157 458595 1375785 31992073 95976219 159960365 287928657 479881095 863785971 1375659139 1439643285 2527373767 2591357913 4126977417 4318929855 6878295695 7582121301 12380932251 12636868835 12956789565 20634887085 22746363903 37142796753 37910606505 61904661255 68239091709 108677071981 111428390259 113731819515 185713983765 204717275127 326031215943 341195458545 543385359905 557141951295 978093647829 1023586375635 1630156079715 2934280943487 4890468239145 8802842830461 14671404717435 44014214152305