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42413896066311 = 33721110313282599
BaseRepresentation
bin10011010010011010000010…
…01101010110010100000111
312120011201200100020112122000
421221031001031112110013
521024402124343110221
6230112401434240343
711635205612053500
oct1151150115262407
9176151610215560
1042413896066311
11125726a5668580
12491011bb860b3
131a887c8388bc3
14a68bb48abba7
154d8439545e26
hex269341356507

42413896066311 has 96 divisors (see below), whose sum is σ = 79747187904000. Its totient is φ = 22030978354560.

The previous prime is 42413896066303. The next prime is 42413896066369. The reversal of 42413896066311 is 11366069831424.

It is a happy number.

42413896066311 is a `hidden beast` number, since 4 + 2 + 4 + 13 + 8 + 9 + 606 + 6 + 3 + 11 = 666.

It is not a de Polignac number, because 42413896066311 - 23 = 42413896066303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42413896066391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149943790 + ... + 150226388.

It is an arithmetic number, because the mean of its divisors is an integer number (830699874000).

Almost surely, 242413896066311 is an apocalyptic number.

42413896066311 is a deficient number, since it is larger than the sum of its proper divisors (37333291837689).

42413896066311 is a wasteful number, since it uses less digits than its factorization.

42413896066311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292946 (or 292933 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 42413896066311 in words is "forty-two trillion, four hundred thirteen billion, eight hundred ninety-six million, sixty-six thousand, three hundred eleven".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 539 693 1323 1617 2079 4851 10313 14553 30939 72191 92817 113443 216573 278451 282599 340329 505337 649719 794101 847797 1020987 1516011 1949157 1978193 2382303 2543391 3062961 3108589 4548033 5558707 5934579 7146909 7630173 9325767 13644099 13847351 16676121 17803737 21440727 21760123 27977301 41542053 50028363 53411211 65280369 83931903 124626159 150085089 152320861 195841107 373878477 456962583 587523321 1370887749 2914443487 4112663247 8743330461 20401104409 26229991383 32058878357 61203313227 78689974149 96176635071 142807730863 183609939681 224412148499 288529905213 428423192589 550829819043 673236445497 865589715639 1285269577767 1570885039493 2019709336491 3855808733301 4712655118479 6059128009473 14137965355437 42413896066311