Search a number
-
+
352022024144 = 247131115320809
BaseRepresentation
bin1010001111101100010…
…01011100111111010000
31020122122000112200001002
411013312021130333100
521231420114233034
6425414445401132
734301301556250
oct5076611347720
91218560480032
10352022024144
11126323289a8a
12582835691a8
132727078750b
1413076221960
159254816e7e
hex51f625cfd0

352022024144 has 80 divisors (see below), whose sum is σ = 786146528640. Its totient is φ = 149577891840.

The previous prime is 352022024129. The next prime is 352022024171. The reversal of 352022024144 is 441420220253.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16906412 + ... + 16927220.

It is an arithmetic number, because the mean of its divisors is an integer number (9826831608).

Almost surely, 2352022024144 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 352022024144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393073264320).

352022024144 is an abundant number, since it is smaller than the sum of its proper divisors (434124504496).

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

352022024144 is a wasteful number, since it uses less digits than its factorization.

352022024144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22108 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 352022024144 its reverse (441420220253), we get a palindrome (793442244397).

The spelling of 352022024144 in words is "three hundred fifty-two billion, twenty-two million, twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 131 262 524 917 1048 1153 1834 2096 2306 3668 4612 7336 8071 9224 14672 16142 18448 20809 32284 41618 64568 83236 129136 145663 151043 166472 291326 302086 332944 582652 604172 1057301 1165304 1208344 2114602 2330608 2416688 2725979 4229204 5451958 8458408 10903916 16916816 19081853 21807832 23992777 38163706 43615664 47985554 76327412 95971108 152654824 167949439 191942216 305309648 335898878 383884432 671797756 1343595512 2687191024 3143053787 6286107574 12572215148 22001376509 25144430296 44002753018 50288860592 88005506036 176011012072 352022024144