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145322363340 = 2232571110485019
BaseRepresentation
bin1000011101010111100…
…0110100100111001100
3111220002202122221200100
42013111320310213030
54340110011111330
6150432110331100
713333136464410
oct2072570644714
9456082587610
10145322363340
11566a375a530
12241b81b9a90
131091c44b70b
147068444d40
153ba8103060
hex21d5e349cc

145322363340 has 144 divisors (see below), whose sum is σ = 549582808320. Its totient is φ = 30196851840.

The previous prime is 145322363281. The next prime is 145322363377. The reversal of 145322363340 is 43363223541.

145322363340 is a `hidden beast` number, since 1 + 4 + 532 + 23 + 63 + 3 + 40 = 666.

145322363340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1453223633402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145322363295 and 145322363304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5228650 + ... + 5256369.

It is an arithmetic number, because the mean of its divisors is an integer number (3816547280).

Almost surely, 2145322363340 is an apocalyptic number.

145322363340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145322363340 is an abundant number, since it is smaller than the sum of its proper divisors (404260444980).

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

145322363340 is a wasteful number, since it uses less digits than its factorization.

145322363340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10485052 (or 10485047 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 145322363340 its reverse (43363223541), we get a palindrome (188685586881).

The spelling of 145322363340 in words is "one hundred forty-five billion, three hundred twenty-two million, three hundred sixty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 10485019 20970038 31455057 41940076 52425095 62910114 73395133 94365171 104850190 115335209 125820228 146790266 157275285 188730342 209700380 220185399 230670418 293580532 314550570 346005627 366975665 377460684 440370798 461340836 471825855 576676045 629101140 660556197 692011254 733951330 807346463 880741596 943651710 1038016881 1100926995 1153352090 1321112394 1384022508 1467902660 1614692926 1730028135 1887303420 2076033762 2201853990 2306704180 2422039389 2642224788 3229385852 3302780985 3460056270 4036732315 4152067524 4403707980 4844078778 5190084405 6605561970 6920112540 7266118167 8073464630 9688157556 10380168810 12110196945 13211123940 14532236334 16146929260 20760337620 24220393890 29064472668 36330590835 48440787780 72661181670 145322363340