Search a number
-
+
1345404053520 = 243354713252601
BaseRepresentation
bin10011100101000000010…
…101001010100000010000
311202121201112002100112000
4103211000111022200100
5134020341414203040
62510023050034000
7166126236523302
oct23450025124020
94677645070460
101345404053520
1147964557166a
121988b9118900
1399b42938bb7
1449191755972
1524ee5078130
hex1394054a810

1345404053520 has 160 divisors (see below), whose sum is σ = 4732769226240. Its totient is φ = 351140889600.

The previous prime is 1345404053519. The next prime is 1345404053561. The reversal of 1345404053520 is 253504045431.

1345404053520 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 40 + 40 + 53 + 520 = 666.

It is a super-2 number, since 2×13454040535202 (a number of 25 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 6524781 + ... + 6727820.

It is an arithmetic number, because the mean of its divisors is an integer number (29579807664).

Almost surely, 21345404053520 is an apocalyptic number.

1345404053520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345404053520 is an abundant number, since it is smaller than the sum of its proper divisors (3387365172720).

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

1345404053520 is a wasteful number, since it uses less digits than its factorization.

1345404053520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13252670 (or 13252658 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 1345404053520 its reverse (253504045431), we get a palindrome (1598908098951).

The spelling of 1345404053520 in words is "one trillion, three hundred forty-five billion, four hundred four million, fifty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 360 376 423 432 470 540 564 705 720 752 846 940 1080 1128 1269 1410 1692 1880 2115 2160 2256 2538 2820 3384 3760 4230 5076 5640 6345 6768 8460 10152 11280 12690 16920 20304 25380 33840 50760 101520 13252601 26505202 39757803 53010404 66263005 79515606 106020808 119273409 132526010 159031212 198789015 212041616 238546818 265052020 318062424 357820227 397578030 477093636 530104040 596367045 622872247 636124848 715640454 795156060 954187272 1060208080 1192734090 1245744494 1431280908 1590312120 1789101135 1868616741 1908374544 2385468180 2491488988 2862561816 3114361235 3180624240 3578202270 3737233482 4770936360 4982977976 5605850223 5725123632 6228722470 7156404540 7474466964 9343083705 9541872720 9965955952 11211700446 12457444940 14312809080 14948933928 16817550669 18686167410 22423400892 24914889880 28029251115 28625618160 29897867856 33635101338 37372334820 44846801784 49829779760 56058502230 67270202676 74744669640 84087753345 89693603568 112117004460 134540405352 149489339280 168175506690 224234008920 269080810704 336351013380 448468017840 672702026760 1345404053520