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1445194368 = 27321379157
BaseRepresentation
bin101011000100011…
…1110101010000000
310201201101110222100
41112020332222000
510424432204433
6355223310400
750545643442
oct12610765200
93651343870
101445194368
11681857a12
12343bab400
131a05436c7
14d9d18492
1586d20b13
hex5623ea80

1445194368 has 96 divisors (see below), whose sum is σ = 4189510260. Its totient is φ = 478162944.

The previous prime is 1445194313. The next prime is 1445194379. The reversal of 1445194368 is 8634915441.

It can be written as a sum of positive squares in 2 ways, for example, as 1407150144 + 38044224 = 37512^2 + 6168^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14451943682 = 4177173522597838848, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153246 + ... + 162402.

Almost surely, 21445194368 is an apocalyptic number.

1445194368 is a gapful number since it is divisible by the number (18) 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 1445194368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094755130).

1445194368 is an abundant number, since it is smaller than the sum of its proper divisors (2744315892).

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

1445194368 is a wasteful number, since it uses less digits than its factorization.

1445194368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9299 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1445194368 is about 38015.7121201221. The cubic root of 1445194368 is about 1130.5994073653.

The spelling of 1445194368 in words is "one billion, four hundred forty-five million, one hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 274 288 384 411 548 576 822 1096 1152 1233 1644 2192 2466 3288 4384 4932 6576 8768 9157 9864 13152 17536 18314 19728 26304 27471 36628 39456 52608 54942 73256 78912 82413 109884 146512 157824 164826 219768 293024 329652 439536 586048 659304 879072 1172096 1254509 1318608 1758144 2509018 2637216 3516288 3763527 5018036 5274432 7527054 10036072 10548864 11290581 15054108 20072144 22581162 30108216 40144288 45162324 60216432 80288576 90324648 120432864 160577152 180649296 240865728 361298592 481731456 722597184 1445194368