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4230343412240 = 24511101154930727
BaseRepresentation
bin111101100011110100000…
…111011100101000010000
3112222102020220110102211112
4331203310013130220100
51023302220403142430
612555220512432452
7614426565464621
oct75436407345020
915872226412745
104230343412240
111391095631570
12583a51548728
13248bc569a4ba
14108a6d2dda48
1575093290195
hex3d8f41dca10

4230343412240 has 160 divisors (see below), whose sum is σ = 10843272057600. Its totient is φ = 1522043136000.

The previous prime is 4230343412237. The next prime is 4230343412257. The reversal of 4230343412240 is 422143430324.

It is a super-3 number, since 3×42303434122403 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4230343412197 and 4230343412206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137659757 + ... + 137690483.

It is an arithmetic number, because the mean of its divisors is an integer number (67770450360).

Almost surely, 24230343412240 is an apocalyptic number.

4230343412240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4230343412240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421636028800).

4230343412240 is an abundant number, since it is smaller than the sum of its proper divisors (6612928645360).

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

4230343412240 is a wasteful number, since it uses less digits than its factorization.

4230343412240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32401 (or 32395 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4230343412240 its reverse (422143430324), we get a palindrome (4652486842564).

The spelling of 4230343412240 in words is "four trillion, two hundred thirty billion, three hundred forty-three million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1549 1616 2020 2222 3098 4040 4444 5555 6196 7745 8080 8888 11110 12392 15490 17039 17776 22220 24784 30727 30980 34078 44440 61454 61960 68156 85195 88880 122908 123920 136312 153635 156449 170390 245816 272624 307270 312898 337997 340780 491632 614540 625796 675994 681560 782245 1229080 1251592 1351988 1363120 1564490 1689985 1720939 2458160 2503184 2703976 3103427 3128980 3379970 3441878 5407952 6206854 6257960 6759940 6883756 8604695 12413708 12515920 13519880 13767512 15517135 17209390 24827416 27039760 27535024 31034270 34137697 34418780 47596123 49654832 62068540 68275394 68837560 95192246 124137080 136550788 137675120 170688485 190384492 237980615 248274160 273101576 341376970 380768984 475961230 523557353 546203152 682753940 761537968 951922460 1047114706 1365507880 1903844920 2094229412 2617786765 2731015760 3807689840 4188458824 4807208423 5235573530 8376917648 9614416846 10471147060 19228833692 20942294120 24036042115 38457667384 41884588240 48072084230 52879292653 76915334768 96144168460 105758585306 192288336920 211517170612 264396463265 384576673840 423034341224 528792926530 846068682448 1057585853060 2115171706120 4230343412240