Search a number
-
+
424042224216 = 2331317731095173
BaseRepresentation
bin1100010101110101110…
…00101101101001011000
31111112112020020220102120
412022322320231221120
523421414302133331
6522445144301240
742431106302112
oct6127270555130
91445466226376
10424042224216
11153920865296
126a222a71820
1330caa5cc710
14167492703b2
15b06c47a796
hex62bae2da58

424042224216 has 128 divisors (see below), whose sum is σ = 1225368285120. Its totient is φ = 121117261824.

The previous prime is 424042224209. The next prime is 424042224217. The reversal of 424042224216 is 612422240424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424042224217) 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, 160395 + ... + 934778.

Almost surely, 2424042224216 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 424042224216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612684142560).

424042224216 is an abundant number, since it is smaller than the sum of its proper divisors (801326060904).

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

424042224216 is a wasteful number, since it uses less digits than its factorization.

424042224216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095285 (or 1095281 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 424042224216 in words is "four hundred twenty-four billion, forty-two million, two hundred twenty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 73 78 102 104 136 146 156 204 219 221 292 312 408 438 442 584 663 876 884 949 1241 1326 1752 1768 1898 2482 2652 2847 3723 3796 4964 5304 5694 7446 7592 9928 11388 14892 16133 22776 29784 32266 48399 64532 96798 129064 193596 387192 1095173 2190346 3285519 4380692 6571038 8761384 13142076 14237249 18617941 26284152 28474498 37235882 42711747 55853823 56948996 74471764 79947629 85423494 111707646 113897992 148943528 159895258 170846988 223415292 239842887 242033233 319790516 341693976 446830584 479685774 484066466 639581032 726099699 959371548 968132932 1039319177 1359109693 1452199398 1918743096 1936265864 2078638354 2718219386 2904398796 3117957531 4077329079 4157276708 5436438772 5808797592 6235915062 8154658158 8314553416 10872877544 12471830124 16309316316 17668426009 24943660248 32618632632 35336852018 53005278027 70673704036 106010556054 141347408072 212021112108 424042224216