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42441341312 = 272959193789
BaseRepresentation
bin100111100001101100…
…110111100110000000
311001112210212112012002
4213201230313212000
51143404440410222
631255225123132
73031510306646
oct474154674600
9131483775162
1042441341312
1116aaa037997
1282856294a8
134004ab4416
1420a890d196
151185ec7392
hex9e1b37980

42441341312 has 64 divisors (see below), whose sum is σ = 88949610000. Its totient is φ = 20141549568.

The previous prime is 42441341281. The next prime is 42441341413. The reversal of 42441341312 is 21314314424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122114 + ... + 315902.

Almost surely, 242441341312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42441341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44474805000).

42441341312 is an abundant number, since it is smaller than the sum of its proper divisors (46508268688).

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

42441341312 is a wasteful number, since it uses less digits than its factorization.

42441341312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193891 (or 193879 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 42441341312 its reverse (21314314424), we get a palindrome (63755655736).

The spelling of 42441341312 in words is "forty-two billion, four hundred forty-one million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 59 64 116 118 128 232 236 464 472 928 944 1711 1856 1888 3422 3712 3776 6844 7552 13688 27376 54752 109504 193789 219008 387578 775156 1550312 3100624 5619881 6201248 11239762 11433551 12402496 22479524 22867102 24804992 44959048 45734204 89918096 91468408 179836192 182936816 331572979 359672384 365873632 663145958 719344768 731747264 1326291916 1463494528 2652583832 5305167664 10610335328 21220670656 42441341312