Search a number
-
+
434443223032 = 237132353489551
BaseRepresentation
bin1100101001001101101…
…01010111111111111000
31112112101002120101111221
412110212311113333320
524104214431114112
6531325214001424
743246623315610
oct6244665277770
91475332511457
10434443223032
11158278967685
12702461a6274
1331c773baca0
1417054777a40
15b47a647e07
hex6526d57ff8

434443223032 has 128 divisors (see below), whose sum is σ = 1065891778560. Its totient is φ = 161293017600.

The previous prime is 434443222909. The next prime is 434443223051. The reversal of 434443223032 is 230322344434.

It is a congruent number.

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, 642657 + ... + 1132207.

It is an arithmetic number, because the mean of its divisors is an integer number (8327279520).

Almost surely, 2434443223032 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 434443223032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532945889280).

434443223032 is an abundant number, since it is smaller than the sum of its proper divisors (631448555528).

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

434443223032 is a wasteful number, since it uses less digits than its factorization.

434443223032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489653 (or 489649 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 34.

Adding to 434443223032 its reverse (230322344434), we get a palindrome (664765567466).

The spelling of 434443223032 in words is "four hundred thirty-four billion, four hundred forty-three million, two hundred twenty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 53 56 91 92 104 106 161 182 184 212 299 322 364 371 424 598 644 689 728 742 1196 1219 1288 1378 1484 2093 2392 2438 2756 2968 4186 4823 4876 5512 8372 8533 9646 9752 15847 16744 17066 19292 31694 34132 38584 63388 68264 110929 126776 221858 443716 489551 887432 979102 1958204 3426857 3916408 6364163 6853714 11259673 12728326 13707428 22519346 25456652 25946203 27414856 44549141 45038692 50913304 51892406 78817711 89098282 90077384 103784812 146375749 157635422 178196564 181623421 207569624 292751498 315270844 337300639 356393128 363246842 585502996 596762669 630541688 674601278 726493684 1024630243 1171005992 1193525338 1349202556 1452987368 2049260486 2361104473 2387050676 2698405112 4098520972 4177338683 4722208946 4774101352 7757914697 8197041944 8354677366 9444417892 15515829394 16709354732 18888835784 31031658788 33418709464 54305402879 62063317576 108610805758 217221611516 434443223032