Search a number
-
+
4430023336332 = 22321165317131589
BaseRepresentation
bin100000001110111000111…
…1101111010000110001100
3120200111122221110120201200
41000131301331322012030
51040040141433230312
613231042530305500
7635026052025666
oct100356175720614
916614587416650
104430023336332
111458842756a20
125b6699a28290
132619985aca39
141145b2aa3536
157a37d58c0dc
hex40771f7a18c

4430023336332 has 72 divisors (see below), whose sum is σ = 12234833367120. Its totient is φ = 1340375445120.

The previous prime is 4430023336331. The next prime is 4430023336351. The reversal of 4430023336332 is 2336333200344.

It is a happy number.

4430023336332 is a `hidden beast` number, since 4 + 4 + 30 + 0 + 233 + 363 + 32 = 666.

It is a super-2 number, since 2×44300233363322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4430023336331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8307207 + ... + 8824382.

It is an arithmetic number, because the mean of its divisors is an integer number (169928241210).

Almost surely, 24430023336332 is an apocalyptic number.

It is an amenable number.

4430023336332 is an abundant number, since it is smaller than the sum of its proper divisors (7804810030788).

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

4430023336332 is a wasteful number, since it uses less digits than its factorization.

4430023336332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17132263 (or 17132258 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 36.

Adding to 4430023336332 its reverse (2336333200344), we get a palindrome (6766356536676).

The spelling of 4430023336332 in words is "four trillion, four hundred thirty billion, twenty-three million, three hundred thirty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 653 1306 1959 2612 3918 5877 7183 7836 11754 14366 21549 23508 28732 43098 64647 86196 129294 258588 17131589 34263178 51394767 68526356 102789534 154184301 188447479 205579068 308368602 376894958 565342437 616737204 753789916 1130684874 1696027311 2261369748 3392054622 6784109244 11186927617 22373855234 33560782851 44747710468 67121565702 100682348553 123056203787 134243131404 201364697106 246112407574 369168611361 402729394212 492224815148 738337222722 1107505834083 1476674445444 2215011668166 4430023336332