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4230407870416 = 24713103108725951
BaseRepresentation
bin111101100011110111111…
…101010101011111010000
3112222102102101202020211101
4331203313331111133100
51023302333403323131
612555231134154144
7614431310410420
oct75436775253720
915872371666741
104230407870416
111391118a57992
12583a6b052954
13248c05b48730
14108a77abc480
1575098c73c61
hex3d8f7f557d0

4230407870416 has 160 divisors (see below), whose sum is σ = 10195599884288. Its totient is φ = 1655731238400.

The previous prime is 4230407870347. The next prime is 4230407870417. The reversal of 4230407870416 is 6140787040324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4230407870417) 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, 163002241 + ... + 163028191.

Almost surely, 24230407870416 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 4230407870416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097799942144).

4230407870416 is an abundant number, since it is smaller than the sum of its proper divisors (5965192013872).

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

4230407870416 is a wasteful number, since it uses less digits than its factorization.

4230407870416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27169 (or 27163 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The spelling of 4230407870416 in words is "four trillion, two hundred thirty billion, four hundred seven million, eight hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 103 104 112 182 206 208 364 412 721 728 824 1087 1339 1442 1456 1648 2174 2678 2884 4348 5356 5768 7609 8696 9373 10712 11536 14131 15218 17392 18746 21424 25951 28262 30436 37492 51902 56524 60872 74984 98917 103804 111961 113048 121744 149968 181657 197834 207608 223922 226096 337363 363314 395668 415216 447844 674726 726628 783727 791336 895688 1349452 1453256 1455493 1567454 1582672 1791376 2361541 2672953 2698904 2906512 2910986 3134908 4723082 5345906 5397808 5821972 6269816 9446164 10188451 10691812 11643944 12539632 18710671 18892328 20376902 21383624 23287888 28208737 34748389 37421342 37784656 40753804 42767248 56417474 69496778 74842684 81507608 112834948 138993556 149685368 163015216 197461159 225669896 243238723 277987112 299370736 366713581 394922318 451339792 486477446 555974224 733427162 789844636 972954892 1466854324 1579689272 1945909784 2566995067 2905499911 2933708648 3159378544 3891819568 5133990134 5810999822 5867417296 10267980268 11621999644 20338499377 20535960536 23243999288 37771498843 40676998754 41071921072 46487998576 75542997686 81353997508 151085995372 162707995016 264400491901 302171990744 325415990032 528800983802 604343981488 1057601967604 2115203935208 4230407870416