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1444552441020 = 2233513215828977
BaseRepresentation
bin10101000001010110000…
…010001111110010111100
312010002122100021022001000
4111001112002033302330
5142131420411103040
63023341312050300
7206236233103443
oct25012602176274
95102570238030
101444552441020
115076a4214687
121b3b69833990
13a62b3b94400
144dcb9653d5a
1527899643130
hex1505608fcbc

1444552441020 has 144 divisors (see below), whose sum is σ = 4866460996320. Its totient is φ = 355582116864.

The previous prime is 1444552440997. The next prime is 1444552441037. The reversal of 1444552441020 is 201442554441.

1444552441020 is a `hidden beast` number, since 1 + 4 + 44 + 552 + 4 + 41 + 0 + 20 = 666.

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

It is a congruent number.

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, 7823229 + ... + 8005748.

It is an arithmetic number, because the mean of its divisors is an integer number (33794868030).

Almost surely, 21444552441020 is an apocalyptic number.

1444552441020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444552441020 is an abundant number, since it is smaller than the sum of its proper divisors (3421908555300).

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

1444552441020 is a wasteful number, since it uses less digits than its factorization.

1444552441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15829021 (or 15829000 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 1444552441020 its reverse (201442554441), we get a palindrome (1645994995461).

The spelling of 1444552441020 in words is "one trillion, four hundred forty-four billion, five hundred fifty-two million, four hundred forty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10140 15210 18252 22815 30420 45630 91260 15828977 31657954 47486931 63315908 79144885 94973862 142460793 158289770 189947724 205776701 237434655 284921586 316579540 411553402 427382379 474869310 569843172 617330103 712303965 823106804 854764758 949738620 1028883505 1234660206 1424607930 1709529516 1851990309 2057767010 2136911895 2469320412 2675097113 2849215860 3086650515 3703980618 4115534020 4273823790 5350194226 5555970927 6173301030 7407961236 8025291339 8547647580 9259951545 10700388452 11111941854 12346602060 13375485565 16050582678 18519903090 22223883708 24075874017 26750971130 27779854635 32101165356 37039806180 40126456695 48151748034 53501942260 55559709270 72227622051 80252913390 96303496068 111119418540 120379370085 144455244102 160505826780 240758740170 288910488204 361138110255 481517480340 722276220510 1444552441020