Search a number
-
+
2032402432304 = 243121318211229
BaseRepresentation
bin11101100100110100101…
…000000000000100110000
321012021222121201221220102
4131210310220000010300
5231244330010313204
64153401153331532
7266556553430516
oct35446450000460
97167877657812
102032402432304
11713a34208862
12289a87566ba8
1311986858723a
1470523dcc4b6
1537d029ad41e
hex1d934a00130

2032402432304 has 120 divisors (see below), whose sum is σ = 4108296717360. Its totient is φ = 973931712000.

The previous prime is 2032402432147. The next prime is 2032402432351. The reversal of 2032402432304 is 4032342042302.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1653703562 + ... + 1653704790.

It is an arithmetic number, because the mean of its divisors is an integer number (34235805978).

Almost surely, 22032402432304 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 2032402432304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054148358680).

2032402432304 is an abundant number, since it is smaller than the sum of its proper divisors (2075894285056).

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

2032402432304 is a wasteful number, since it uses less digits than its factorization.

2032402432304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 2032402432304 its reverse (4032342042302), we get a palindrome (6064744474606).

The spelling of 2032402432304 in words is "two trillion, thirty-two billion, four hundred two million, four hundred thirty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 31 62 124 131 248 262 496 524 821 961 1048 1229 1642 1922 2096 2458 3284 3844 4061 4916 6568 7688 8122 9832 13136 15376 16244 19664 25451 32488 38099 50902 64976 76198 101804 107551 125891 152396 160999 203608 215102 251782 304792 321998 407216 430204 503564 609584 643996 788981 860408 1007128 1009009 1181069 1287992 1577962 1720816 2014256 2018018 2362138 2575984 3155924 3334081 4036036 4724276 4990969 6311848 6668162 8072072 9448552 9981938 12623696 13336324 16144144 18897104 19963876 26672648 31279279 39927752 53345296 62558558 79855504 103356511 125117116 132180179 154720039 206713022 250234232 264360358 309440078 413426044 500468464 528720716 618880156 826852088 969657649 1057441432 1237760312 1653704176 1939315298 2114882864 2475520624 3878630596 4097585549 7757261192 8195171098 15514522384 16390342196 32780684392 65561368784 127025152019 254050304038 508100608076 1016201216152 2032402432304