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42242201400 = 23352710057667
BaseRepresentation
bin100111010101110101…
…001101011100111000
311001000221011011120210
4213111311031130320
51143003000421100
631223352551120
73023541534060
oct472565153470
9131027134523
1042242201400
1116a07692153
12822a9b24a0
133ca276b759
14208a2b23a0
15117378cc50
hex9d5d4d738

42242201400 has 96 divisors (see below), whose sum is σ = 149658099840. Its totient is φ = 9655359360.

The previous prime is 42242201381. The next prime is 42242201437. The reversal of 42242201400 is 410224224.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5024634 + ... + 5033033.

It is an arithmetic number, because the mean of its divisors is an integer number (1558938540).

Almost surely, 242242201400 is an apocalyptic number.

42242201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42242201400 is an abundant number, since it is smaller than the sum of its proper divisors (107415898440).

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

42242201400 is a wasteful number, since it uses less digits than its factorization.

42242201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10057693 (or 10057684 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 42242201400 its reverse (410224224), we get a palindrome (42652425624).

The spelling of 42242201400 in words is "forty-two billion, two hundred forty-two million, two hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 10057667 20115334 30173001 40230668 50288335 60346002 70403669 80461336 100576670 120692004 140807338 150865005 201153340 211211007 241384008 251441675 281614676 301730010 352018345 402306680 422422014 502883350 563229352 603460020 704036690 754325025 844844028 1005766700 1056055035 1206920040 1408073380 1508650050 1689688056 1760091725 2011533400 2112110070 2816146760 3017300100 3520183450 4224220140 5280275175 6034600200 7040366900 8448440280 10560550350 14080733800 21121100700 42242201400