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12000300154444 = 22723891071956737
BaseRepresentation
bin1010111010100000100110…
…1000001011111001001100
31120111012212112212112021201
42232220021220023321030
53033103103314420234
641304510051235244
72345664424204240
oct256501150137114
946435775775251
1012000300154444
113907331654328
1214198a42a8b24
13690814942a74
142d6b637d2420
1515c24e460314
hexaea09a0be4c

12000300154444 has 96 divisors (see below), whose sum is σ = 25562199075840. Its totient is φ = 4818642419712.

The previous prime is 12000300154399. The next prime is 12000300154457. The reversal of 12000300154444 is 44445100300021.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 5154444 + ... + 7111180.

It is an arithmetic number, because the mean of its divisors is an integer number (266272907040).

Almost surely, 212000300154444 is an apocalyptic number.

12000300154444 is a gapful number since it is divisible by the number (14) 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 12000300154444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12781099537920).

12000300154444 is an abundant number, since it is smaller than the sum of its proper divisors (13561898921396).

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

12000300154444 is a wasteful number, since it uses less digits than its factorization.

12000300154444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956967 (or 1956965 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 12000300154444 its reverse (44445100300021), we get a palindrome (56445400454465).

The spelling of 12000300154444 in words is "twelve trillion, three hundred million, one hundred fifty-four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 23 28 46 89 92 107 161 178 214 322 356 428 623 644 749 1246 1498 2047 2461 2492 2996 4094 4922 8188 9523 9844 14329 17227 19046 28658 34454 38092 57316 66661 68908 133322 219029 266644 438058 876116 1533203 1956737 3066406 3913474 6132812 7826948 13697159 27394318 45004951 54788636 90009902 174149593 180019804 209370859 315034657 348299186 418741718 630069314 696598372 837483436 1219047151 1260138628 1465596013 2438094302 2931192026 4005440639 4815529757 4876188604 5862384052 8010881278 9631059514 16021762556 18634006451 19262119028 28038084473 33708708299 37268012902 56076168946 67417416598 74536025804 112152337892 130438045157 134834833196 260876090314 428582148373 521752180628 857164296746 1714328593492 3000075038611 6000150077222 12000300154444