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42411211320 = 2335438219227
BaseRepresentation
bin100111011111111001…
…111011101000111000
311001110201011202121110
4213133321323220320
51143324232230240
631252231240320
73030663230262
oct473771735070
9131421152543
1042411211320
1116a94028875
1282775190a0
133ccb79521a
1420a4908b32
151183524c80
hex9dfe7ba38

42411211320 has 64 divisors (see below), whose sum is σ = 130192571520. Its totient is φ = 11046639744.

The previous prime is 42411211319. The next prime is 42411211373. The reversal of 42411211320 is 2311211424.

It is a super-2 number, since 2×424112113202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4104454 + ... + 4114773.

It is an arithmetic number, because the mean of its divisors is an integer number (2034258930).

Almost surely, 242411211320 is an apocalyptic number.

42411211320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42411211320 is an abundant number, since it is smaller than the sum of its proper divisors (87781360200).

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

42411211320 is a wasteful number, since it uses less digits than its factorization.

42411211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219284 (or 8219280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 42411211320 its reverse (2311211424), we get a palindrome (44722422744).

The spelling of 42411211320 in words is "forty-two billion, four hundred eleven million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 8219227 16438454 24657681 32876908 41096135 49315362 65753816 82192270 98630724 123288405 164384540 197261448 246576810 328769080 353426761 493153620 706853522 986307240 1060280283 1413707044 1767133805 2120560566 2827414088 3534267610 4241121132 5301401415 7068535220 8482242264 10602802830 14137070440 21205605660 42411211320