Search a number
-
+
4330451250132 = 2237131433990697
BaseRepresentation
bin111111000001000011000…
…000100010101111010100
3120022222122121000111212020
4333001003000202233110
51031422231010001012
613113214251053140
7624602422201410
oct77010300425724
916288577014766
104330451250132
11141a596921897
1259b32b4411b0
1325548a636137
1410d8487d1d40
15779a1bcba8c
hex3f043022bd4

4330451250132 has 96 divisors (see below), whose sum is σ = 11638831733760. Its totient is φ = 1227530453760.

The previous prime is 4330451250113. The next prime is 4330451250233. The reversal of 4330451250132 is 2310521540334.

It is a junction number, because it is equal to n+sod(n) for n = 4330451250093 and 4330451250102.

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, 47701008 + ... + 47791704.

It is an arithmetic number, because the mean of its divisors is an integer number (121237830560).

Almost surely, 24330451250132 is an apocalyptic number.

4330451250132 is a gapful number since it is divisible by the number (42) 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 4330451250132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819415866880).

4330451250132 is an abundant number, since it is smaller than the sum of its proper divisors (7308380483628).

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

4330451250132 is a wasteful number, since it uses less digits than its factorization.

4330451250132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95181 (or 95179 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 4330451250132 its reverse (2310521540334), we get a palindrome (6640972790466).

The spelling of 4330451250132 in words is "four trillion, three hundred thirty billion, four hundred fifty-one million, two hundred fifty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 786 917 1572 1834 2751 3668 4339 5502 8678 11004 13017 17356 26034 30373 52068 60746 90697 91119 121492 181394 182238 272091 362788 364476 544182 568409 634879 1088364 1136818 1269758 1705227 1904637 2273636 2539516 3410454 3809274 3978863 6820908 7618548 7957726 11881307 11936589 15915452 23762614 23873178 35643921 47525228 47746356 71287842 83169149 142575684 166338298 249507447 332676596 393534283 499014894 787068566 998029788 1180602849 1574137132 2361205698 2754739981 4722411396 5509479962 8264219943 11018959924 16528439886 33056879772 51552991073 103105982146 154658973219 206211964292 309317946438 360870937511 618635892876 721741875022 1082612812533 1443483750044 2165225625066 4330451250132