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42210312240 = 2435712477131
BaseRepresentation
bin100111010011111011…
…100100000000110000
311000221201011000212210
4213103323210000300
51142421314442430
631220253252120
73023003506545
oct472373440060
9130851130783
1042210312240
11169a0691378
128220194040
133c98c84925
142085d70bcc
151170a8e2b0
hex9d3ee4030

42210312240 has 80 divisors (see below), whose sum is σ = 132695006976. Its totient is φ = 11097542400.

The previous prime is 42210312227. The next prime is 42210312293. The reversal of 42210312240 is 4221301224.

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

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, 1221526 + ... + 1255605.

Almost surely, 242210312240 is an apocalyptic number.

42210312240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42210312240 is an abundant number, since it is smaller than the sum of its proper divisors (90484694736).

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

42210312240 is a wasteful number, since it uses less digits than its factorization.

42210312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477218 (or 2477212 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 42210312240 its reverse (4221301224), we get a palindrome (46431613464).

The spelling of 42210312240 in words is "forty-two billion, two hundred ten million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 2477131 4954262 7431393 9908524 12385655 14862786 19817048 24771310 29725572 37156965 39634096 49542620 59451144 74313930 99085240 118902288 148627860 175876301 198170480 297255720 351752602 527628903 594511440 703505204 879381505 1055257806 1407010408 1758763010 2110515612 2638144515 2814020816 3517526020 4221031224 5276289030 7035052040 8442062448 10552578060 14070104080 21105156120 42210312240