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10144043300000 = 2555128978697
BaseRepresentation
bin1001001110011101100000…
…0110001111010010100000
31022220202112211010001110102
42103213120012033102200
52312200000041100000
633324035324521532
72064611564241251
oct223473006172240
938822484101412
1010144043300000
113261078a96305
121179b976b02a8
1358776b5bc80c
14270d8d742b28
15128d0aade3d5
hex939d818f4a0

10144043300000 has 144 divisors (see below), whose sum is σ = 24981941912760. Its totient is φ = 4054417920000.

The previous prime is 10144043299961. The next prime is 10144043300009. The reversal of 10144043300000 is 334044101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 6013539871504 + 4130503428496 = 2452252^2 + 2032364^2 .

It is a super-2 number, since 2×101440433000002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10144043300009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 128860652 + ... + 128939348.

Almost surely, 210144043300000 is an apocalyptic number.

10144043300000 is a gapful number since it is divisible by the number (10) 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 10144043300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12490970956380).

10144043300000 is an abundant number, since it is smaller than the sum of its proper divisors (14837898612760).

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

10144043300000 is an frugal number, since it uses more digits than its factorization.

10144043300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80021 (or 79993 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10144043300000 its reverse (334044101), we get a palindrome (10144377344101).

The spelling of 10144043300000 in words is "ten trillion, one hundred forty-four billion, forty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1289 2000 2500 2578 3125 4000 5000 5156 6250 6445 10000 10312 12500 12890 20000 20624 25000 25780 32225 41248 50000 51560 64450 78697 100000 103120 128900 157394 161125 206240 257800 314788 322250 393485 515600 629576 644500 786970 805625 1031200 1259152 1289000 1573940 1611250 1967425 2518304 2578000 3147880 3222500 3934850 4028125 5156000 6295760 6445000 7869700 8056250 9837125 12591520 12890000 15739400 16112500 19674250 25780000 31478800 32225000 39348500 49185625 62957600 64450000 78697000 98371250 101440433 128900000 157394000 196742500 202880866 245928125 314788000 393485000 405761732 491856250 507202165 786970000 811523464 983712500 1014404330 1573940000 1623046928 1967425000 2028808660 2536010825 3246093856 3934850000 4057617320 5072021650 7869700000 8115234640 10144043300 12680054125 16230469280 20288086600 25360108250 40576173200 50720216500 63400270625 81152346400 101440433000 126800541250 202880866000 253601082500 317001353125 405761732000 507202165000 634002706250 1014404330000 1268005412500 2028808660000 2536010825000 5072021650000 10144043300000