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2041254543424 = 261710137349801
BaseRepresentation
bin11101101101000100010…
…000001000000001000000
321020010211112112210111211
4131231010100020001000
5231420442130342144
64201423413015504
7300322122223615
oct35550420100100
97203745483454
102041254543424
11717766a79978
1228b738024594
1311a6494c7505
1470b2390850c
153816ebc6034
hex1db44408040

2041254543424 has 112 divisors (see below), whose sum is σ = 4343049547056. Its totient is φ = 948510720000.

The previous prime is 2041254543353. The next prime is 2041254543437. The reversal of 2041254543424 is 4243454521402.

It can be written as a sum of positive squares in 8 ways, for example, as 303160360000 + 1738094183424 = 550600^2 + 1318368^2 .

It is a super-2 number, since 2×20412545434242 (a number of 25 digits) contains 22 as substring.

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, 40963324 + ... + 41013124.

Almost surely, 22041254543424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041254543424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2171524773528).

2041254543424 is an abundant number, since it is smaller than the sum of its proper divisors (2301795003632).

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

2041254543424 is a wasteful number, since it uses less digits than its factorization.

2041254543424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50304 (or 50294 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

The spelling of 2041254543424 in words is "two trillion, forty-one billion, two hundred fifty-four million, five hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 101 136 202 272 373 404 544 746 808 1088 1492 1616 1717 2984 3232 3434 5968 6341 6464 6868 11936 12682 13736 23872 25364 27472 37673 49801 50728 54944 75346 99602 101456 109888 150692 199204 202912 301384 398408 405824 602768 640441 796816 846617 1205536 1280882 1593632 1693234 2411072 2561764 3187264 3386468 5029901 5123528 6772936 10059802 10247056 13545872 18575773 20119604 20494112 27091744 37151546 40239208 40988224 54183488 74303092 80478416 85508317 148606184 160956832 171016634 297212368 315788141 321913664 342033268 594424736 631576282 684066536 1188849472 1263152564 1368133072 1876153073 2526305128 2736266144 3752306146 5052610256 5472532288 7504612292 10105220512 15009224584 20210441024 30018449168 31894602241 60036898336 63789204482 120073796672 127578408964 255156817928 510313635856 1020627271712 2041254543424