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4042541251100 = 2252114122186221
BaseRepresentation
bin111010110100111010001…
…111000011101000011100
3112022110111122120011120202
4322310322033003220130
51012213111030013400
612333041240403032
7565030640451212
oct72647217035034
915273448504522
104042541251100
111319483169230
1255357aa76478
132342964c1571
14dd935218cb2
1570250b1a4d5
hex3ad3a3c3a1c

4042541251100 has 108 divisors (see below), whose sum is σ = 9808904757624. Its totient is φ = 1434160320000.

The previous prime is 4042541251027. The next prime is 4042541251117. The reversal of 4042541251100 is 11521452404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 755990 + ... + 2942210.

Almost surely, 24042541251100 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 4042541251100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904452378812).

4042541251100 is an abundant number, since it is smaller than the sum of its proper divisors (5766363506524).

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

4042541251100 is a wasteful number, since it uses less digits than its factorization.

4042541251100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186328 (or 2186280 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The spelling of 4042541251100 in words is "four trillion, forty-two billion, five hundred forty-one million, two hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 205 220 275 410 451 550 820 902 1025 1100 1681 1804 2050 2255 3362 4100 4510 6724 8405 9020 11275 16810 18491 22550 33620 36982 42025 45100 73964 84050 92455 168100 184910 369820 462275 924550 1849100 2186221 4372442 8744884 10931105 21862210 24048431 43724420 48096862 54655525 89635061 96193724 109311050 120242155 179270122 218622100 240484310 358540244 448175305 480968620 601210775 896350610 985985671 1202421550 1792701220 1971971342 2240876525 2404843100 3675037501 3943942684 4481753050 4929928355 7350075002 8963506100 9859856710 14700150004 18375187505 19719713420 24649641775 36750375010 40425412511 49299283550 73500750020 80850825022 91875937525 98598567100 161701650044 183751875050 202127062555 367503750100 404254125110 808508250220 1010635312775 2021270625550 4042541251100