Search a number
-
+
10434112332 = 2237237539049
BaseRepresentation
bin10011011011110101…
…11110101101001100
3222221011121211021220
421231322332231030
5132332113043312
64443211123340
7516365330400
oct115572765514
928834554256
1010434112332
11447486a036
122032443550
13ca3913787
1470da87100
1541105dc8c
hex26debeb4c

10434112332 has 144 divisors (see below), whose sum is σ = 29638677600. Its totient is φ = 2845559808.

The previous prime is 10434112319. The next prime is 10434112349. The reversal of 10434112332 is 23321143401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1148544 + ... + 1157592.

It is an arithmetic number, because the mean of its divisors is an integer number (205824150).

Almost surely, 210434112332 is an apocalyptic number.

10434112332 is a gapful number since it is divisible by the number (12) 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 10434112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819338800).

10434112332 is an abundant number, since it is smaller than the sum of its proper divisors (19204565268).

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

10434112332 is a wasteful number, since it uses less digits than its factorization.

10434112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10434112332 its reverse (23321143401), we get a palindrome (33755255733).

The spelling of 10434112332 in words is "ten billion, four hundred thirty-four million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 53 74 84 98 106 111 147 148 159 196 212 222 259 294 318 371 444 518 588 636 742 777 1036 1113 1484 1554 1813 1961 2226 2597 3108 3626 3922 4452 5194 5439 5883 7252 7791 7844 9049 10388 10878 11766 13727 15582 18098 21756 23532 27147 27454 31164 36196 41181 54294 54908 63343 82362 96089 108588 126686 164724 190029 192178 253372 288267 334813 380058 384356 443401 479597 576534 669626 760116 886802 959194 1004439 1153068 1330203 1339252 1438791 1773604 1918388 2008878 2343691 2660406 2877582 3357179 4017756 4687382 5320812 5755164 6714358 7031073 9374764 10071537 13428716 14062146 16405837 17745089 20143074 23500253 28124292 32811674 35490178 40286148 47000506 49217511 53235267 65623348 70500759 70980356 94001012 98435022 106470534 124215623 141001518 196870044 212941068 248431246 282003036 372646869 496862492 745293738 869509361 1490587476 1739018722 2608528083 3478037444 5217056166 10434112332