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42000422420240 = 24525115269136987
BaseRepresentation
bin10011000110010111111000…
…10000100011111100010000
312111201012102122122000220122
421203023330100203330100
521001113331114421430
6225154421103125412
711563300423052504
oct1143137420437420
9174635378560818
1042000422420240
1112423308564499
124863b685a3868
131a588134c032b
14a52b8d0c8304
154cc7d9d3aee5
hex2632fc423f10

42000422420240 has 80 divisors (see below), whose sum is σ = 98047166454720. Its totient is φ = 16732017984000.

The previous prime is 42000422420233. The next prime is 42000422420249. The reversal of 42000422420240 is 4202422400024.

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

It is not an unprimeable number, because it can be changed into a prime (42000422420249) 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, 306533027 + ... + 306670013.

It is an arithmetic number, because the mean of its divisors is an integer number (1225589580684).

Almost surely, 242000422420240 is an apocalyptic number.

42000422420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42000422420240 is an abundant number, since it is smaller than the sum of its proper divisors (56046744034480).

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

42000422420240 is a wasteful number, since it uses less digits than its factorization.

42000422420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152520 (or 152514 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 42000422420240 its reverse (4202422400024), we get a palindrome (46202844820264).

The spelling of 42000422420240 in words is "forty-two trillion, four hundred twenty-two million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 251 502 1004 1255 2008 2510 4016 5020 10040 15269 20080 30538 61076 76345 122152 136987 152690 244304 273974 305380 547948 610760 684935 1095896 1221520 1369870 2191792 2739740 3832519 5479480 7665038 10958960 15330076 19162595 30660152 34383737 38325190 61320304 68767474 76650380 137534948 153300760 171918685 275069896 306601520 343837370 550139792 687674740 1375349480 2091654503 2750698960 4183309006 8366618012 10458272515 16733236024 20916545030 33466472048 41833090060 83666180120 167332360240 525005280253 1050010560506 2100021121012 2625026401265 4200042242024 5250052802530 8400084484048 10500105605060 21000211210120 42000422420240