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442215250000 = 24562376907
BaseRepresentation
bin1100110111101100001…
…01010011100001010000
31120021102202000021012121
412123312011103201100
524221124101000000
6535052331304024
743643335414426
oct6336605234120
91507382007177
10442215250000
111605a6a86567
1271854bab014
1332915631604
1417590a5b116
15b782b10b1a
hex66f6153850

442215250000 has 140 divisors (see below), whose sum is σ = 1117555070112. Its totient is φ = 169193200000.

The previous prime is 442215249997. The next prime is 442215250019. The reversal of 442215250000 is 52512244.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5711547 + ... + 5788453.

Almost surely, 2442215250000 is an apocalyptic number.

442215250000 is a gapful number since it is divisible by the number (40) 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 442215250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558777535056).

442215250000 is an abundant number, since it is smaller than the sum of its proper divisors (675339820112).

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

442215250000 is an frugal number, since it uses more digits than its factorization.

442215250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76968 (or 76937 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 442215250000 its reverse (52512244), we get a palindrome (442267762244).

The spelling of 442215250000 in words is "four hundred forty-two billion, two hundred fifteen million, two hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 3125 4600 5000 5750 6250 9200 10000 11500 12500 14375 15625 23000 25000 28750 31250 46000 50000 57500 62500 71875 76907 115000 125000 143750 153814 230000 250000 287500 307628 359375 384535 575000 615256 718750 769070 1150000 1230512 1437500 1538140 1768861 1922675 2875000 3076280 3537722 3845350 5750000 6152560 7075444 7690700 8844305 9613375 14150888 15381400 17688610 19226750 28301776 30762800 35377220 38453500 44221525 48066875 70754440 76907000 88443050 96133750 141508880 153814000 176886100 192267500 221107625 240334375 353772200 384535000 442215250 480668750 707544400 769070000 884430500 961337500 1105538125 1201671875 1768861000 1922675000 2211076250 2403343750 3537722000 3845350000 4422152500 4806687500 5527690625 8844305000 9613375000 11055381250 17688610000 19226750000 22110762500 27638453125 44221525000 55276906250 88443050000 110553812500 221107625000 442215250000