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4230412414104 = 2333131139314651
BaseRepresentation
bin111101100011111000001…
…110101010110010011000
3112222102102201022002121010
4331203320032222302120
51023302341034222404
612555231415413520
7614431364133342
oct75437016526230
915872381262533
104230412414104
1113911205806a8
12583a706842a0
13248c06a798c6
14108a78542292
1575099370189
hex3d8f83aac98

4230412414104 has 128 divisors (see below), whose sum is σ = 10957438402560. Its totient is φ = 1359622800000.

The previous prime is 4230412414103. The next prime is 4230412414117. The reversal of 4230412414104 is 4014142140324.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230412414103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 909568179 + ... + 909572829.

It is an arithmetic number, because the mean of its divisors is an integer number (85604987520).

Almost surely, 24230412414104 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 4230412414104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478719201280).

4230412414104 is an abundant number, since it is smaller than the sum of its proper divisors (6727025988456).

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

4230412414104 is a wasteful number, since it uses less digits than its factorization.

4230412414104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8933 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4230412414104 its reverse (4014142140324), we get a palindrome (8244554554428).

The spelling of 4230412414104 in words is "four trillion, two hundred thirty billion, four hundred twelve million, four hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 311 372 622 744 933 1244 1866 2488 3732 3931 4651 7464 7862 9302 9641 11793 13953 15724 18604 19282 23586 27906 28923 31448 37208 38564 47172 55812 57846 77128 94344 111624 115692 121861 144181 231384 243722 288362 365583 432543 487444 576724 731166 865086 974888 1153448 1222541 1446461 1462332 1730172 2445082 2892922 2924664 3460344 3667623 4339383 4890164 5785844 7335246 8678766 9780328 11571688 14670492 17357532 18283081 29340984 34715064 36566162 37898771 44840291 54849243 73132324 75797542 89680582 109698486 113696313 134520873 146264648 151595084 179361164 219396972 227392626 269041746 303190168 358722328 438793944 454785252 538083492 566775511 909570504 1076166984 1133551022 1700326533 2267102044 3400653066 4534204088 5686038191 6801306132 11372076382 13602612264 17058114573 22744152764 34116229146 45488305528 68232458292 136464916584 176267183921 352534367842 528801551763 705068735684 1057603103526 1410137471368 2115206207052 4230412414104