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42442000020240 = 24351571126380043
BaseRepresentation
bin10011010011001110011000…
…10101011011001100010000
312120021102012221210022202120
421221213030111123030100
521030332204001121430
6230133330255414240
711640222216531312
oct1151471425331420
9176242187708676
1042442000020240
1112583607607087
124915663b24380
131a8b3569a3042
14a6a2bd19b7b2
154d9031993610
hex2699cc55b310

42442000020240 has 80 divisors (see below), whose sum is σ = 132408226932288. Its totient is φ = 11245778339328.

The previous prime is 42442000020239. The next prime is 42442000020317. The reversal of 42442000020240 is 4202000024424.

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 42442000020240.

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, 563152342 + ... + 563227701.

Almost surely, 242442000020240 is an apocalyptic number.

42442000020240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42442000020240 is an abundant number, since it is smaller than the sum of its proper divisors (89966226912048).

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

42442000020240 is a wasteful number, since it uses less digits than its factorization.

42442000020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126380216 (or 1126380210 counting only the distinct ones).

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

Adding to 42442000020240 its reverse (4202000024424), we get a palindrome (46644000044664).

The spelling of 42442000020240 in words is "forty-two trillion, four hundred forty-two billion, twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 6280 7536 9420 12560 18840 37680 1126380043 2252760086 3379140129 4505520172 5631900215 6758280258 9011040344 11263800430 13516560516 16895700645 18022080688 22527600860 27033121032 33791401290 45055201720 54066242064 67582802580 90110403440 135165605160 176841666751 270331210320 353683333502 530525000253 707366667004 884208333755 1061050000506 1414733334008 1768416667510 2122100001012 2652625001265 2829466668016 3536833335020 4244200002024 5305250002530 7073666670040 8488400004048 10610500005060 14147333340080 21221000010120 42442000020240