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4144231304000 = 26531730472289
BaseRepresentation
bin111100010011100111011…
…011110100101101000000
3112200011222121100002120022
4330103213123310231000
51020344341203212000
612451500015233012
7605260625602514
oct74234733645500
915604877302508
104144231304000
111358616593067
1256b21a818768
13240a511a6ab8
141048208d2144
1572c033e1585
hex3c4e76f4b40

4144231304000 has 112 divisors (see below), whose sum is σ = 10866906170640. Its totient is φ = 1560181145600.

The previous prime is 4144231303999. The next prime is 4144231304029. The reversal of 4144231304000 is 4031324414.

It can be written as a sum of positive squares in 8 ways, for example, as 999312118336 + 3144919185664 = 999656^2 + 1773392^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15100145 + ... + 15372144.

Almost surely, 24144231304000 is an apocalyptic number.

4144231304000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144231304000 is an abundant number, since it is smaller than the sum of its proper divisors (6722674866640).

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

4144231304000 is a wasteful number, since it uses less digits than its factorization.

4144231304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30472333 (or 30472313 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4144231304000 its reverse (4031324414), we get a palindrome (4148262628414).

The spelling of 4144231304000 in words is "four trillion, one hundred forty-four billion, two hundred thirty-one million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 320 340 400 425 500 544 680 800 850 1000 1088 1360 1600 1700 2000 2125 2720 3400 4000 4250 5440 6800 8000 8500 13600 17000 27200 34000 68000 136000 30472289 60944578 121889156 152361445 243778312 304722890 487556624 518028913 609445780 761807225 975113248 1036057826 1218891560 1523614450 1950226496 2072115652 2437783120 2590144565 3047228900 3809036125 4144231304 4875566240 5180289130 6094457800 7618072250 8288462608 9751132480 10360578260 12188915600 12950722825 15236144500 16576925216 20721156520 24377831200 25901445650 30472289000 33153850432 41442313040 48755662400 51802891300 60944578000 64753614125 82884626080 103605782600 121889156000 129507228250 165769252160 207211565200 243778312000 259014456500 414423130400 518028913000 828846260800 1036057826000 2072115652000 4144231304000