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42022224240 = 24351391259659
BaseRepresentation
bin100111001000101110…
…000100000101110000
311000110121020011122120
4213020232010011300
51142030142133430
631145454034240
73015231004203
oct471056040560
9130417204576
1042022224240
11169044a5047
1281891a8980
133c6900b559
142068dad93a
15115e2d9610
hex9c8b84170

42022224240 has 80 divisors (see below), whose sum is σ = 131206185600. Its totient is φ = 11125299456.

The previous prime is 42022224239. The next prime is 42022224241. The reversal of 42022224240 is 4242222024.

It is an interprime number because it is at equal distance from previous prime (42022224239) and next prime (42022224241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42022224240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42022224241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 596470 + ... + 663189.

It is an arithmetic number, because the mean of its divisors is an integer number (1640077320).

Almost surely, 242022224240 is an apocalyptic number.

42022224240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42022224240 is an abundant number, since it is smaller than the sum of its proper divisors (89183961360).

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

42022224240 is a wasteful number, since it uses less digits than its factorization.

42022224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259814 (or 1259808 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42022224240 its reverse (4242222024), we get a palindrome (46264446264).

The spelling of 42022224240 in words is "forty-two billion, twenty-two million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 16680 33360 1259659 2519318 3778977 5038636 6298295 7557954 10077272 12596590 15115908 18894885 20154544 25193180 30231816 37789770 50386360 60463632 75579540 100772720 151159080 175092601 302318160 350185202 525277803 700370404 875463005 1050555606 1400740808 1750926010 2101111212 2626389015 2801481616 3501852020 4202222424 5252778030 7003704040 8404444848 10505556060 14007408080 21011112120 42022224240