Search a number
-
+
445254140240 = 245713338918047
BaseRepresentation
bin1100111101010110011…
…01110000000101010000
31120120021112012212220222
412132223031300011100
524243340024441430
6540314045252212
744111545513640
oct6365315600520
91516245185828
10445254140240
111619163997a8
1272362864068
1332cab0b1510
141779c4a8520
15b8ae7d79e5
hex67ab370150

445254140240 has 160 divisors (see below), whose sum is σ = 1274558423040. Its totient is φ = 140866209792.

The previous prime is 445254140143. The next prime is 445254140257. The reversal of 445254140240 is 42041452544.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 445254140240.

It is a congruent number.

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, 24662897 + ... + 24680943.

It is an arithmetic number, because the mean of its divisors is an integer number (7965990144).

Almost surely, 2445254140240 is an apocalyptic number.

445254140240 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 445254140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637279211520).

445254140240 is an abundant number, since it is smaller than the sum of its proper divisors (829304282800).

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

445254140240 is a wasteful number, since it uses less digits than its factorization.

445254140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21469 (or 21463 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

Adding to 445254140240 its reverse (42041452544), we get a palindrome (487295592784).

The spelling of 445254140240 in words is "four hundred forty-five billion, two hundred fifty-four million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3389 3640 6778 7280 13556 16945 18047 23723 27112 33890 36094 44057 47446 54224 67780 72188 88114 90235 94892 118615 126329 135560 144376 176228 180470 189784 220285 234611 237230 252658 271120 288752 308399 352456 360940 379568 440570 469222 474460 505316 616798 631645 704912 721880 881140 938444 948920 1010632 1173055 1233596 1263290 1443760 1541995 1642277 1762280 1876888 1897840 2021264 2346110 2467192 2526580 3083990 3284554 3524560 3753776 4692220 4934384 5053160 6167980 6569108 8211385 9384440 10106320 12335960 13138216 16422770 18768880 24671920 26276432 32845540 61161283 65691080 122322566 131382160 244645132 305806415 428128981 489290264 611612830 795096679 856257962 978580528 1223225660 1590193358 1712515924 2140644905 2446451320 3180386716 3425031848 3975483395 4281289810 4892902640 5565676753 6360773432 6850063696 7950966790 8562579620 11131353506 12721546864 15901933580 17125159240 22262707012 27828383765 31803867160 34250318480 44525414024 55656767530 63607734320 89050828048 111313535060 222627070120 445254140240