Search a number
-
+
4412014434 = 2371953089
BaseRepresentation
bin1000001101111100…
…11111111101100010
3102101110222120000000
410012332133331202
533013433430214
62005444440430
7214222334562
oct40676377542
912343876000
104412014434
111964515823
12a316a9116
135540ab739
142dbd64da2
151ac50d809
hex106f9ff62

4412014434 has 64 divisors (see below), whose sum is σ = 10448112000. Its totient is φ = 1393241472.

The previous prime is 4412014423. The next prime is 4412014459. The reversal of 4412014434 is 4344102144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4412014398 and 4412014407.

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, 56562 + ... + 109650.

It is an arithmetic number, because the mean of its divisors is an integer number (163251750).

Almost surely, 24412014434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412014434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5224056000).

4412014434 is an abundant number, since it is smaller than the sum of its proper divisors (6036097566).

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

4412014434 is an equidigital number, since it uses as much as digits as its factorization.

4412014434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53131 (or 53113 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4412014434 is about 66422.9962738809. The cubic root of 4412014434 is about 1640.1326526152.

Adding to 4412014434 its reverse (4344102144), we get a palindrome (8756116578).

The spelling of 4412014434 in words is "four billion, four hundred twelve million, fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 486 513 729 1026 1458 1539 2187 3078 4374 4617 9234 13851 27702 41553 53089 83106 106178 159267 318534 477801 955602 1008691 1433403 2017382 2866806 3026073 4300209 6052146 8600418 9078219 12900627 18156438 25801254 27234657 38701881 54469314 77403762 81703971 116105643 163407942 232211286 245111913 490223826 735335739 1470671478 2206007217 4412014434