Search a number
-
+
412232340432 = 243118393710039
BaseRepresentation
bin1011111111110101111…
…01100101001111010000
31110102001011212122111110
411333322331211033100
523223222434343212
6513213225413320
741532334036053
oct5777275451720
91412034778443
10412232340432
11149910455860
1267a8793a240
132cb479714c3
1415d489c0a9a
15aaca760a3c
hex5ffaf653d0

412232340432 has 160 divisors (see below), whose sum is σ = 1177114659840. Its totient is φ = 123269852160.

The previous prime is 412232340413. The next prime is 412232340437. The reversal of 412232340432 is 234043232214.

It is a self number, because there is not a number n which added to its sum of digits gives 412232340432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412232340437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41058069 + ... + 41068107.

It is an arithmetic number, because the mean of its divisors is an integer number (7356966624).

Almost surely, 2412232340432 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 412232340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588557329920).

412232340432 is an abundant number, since it is smaller than the sum of its proper divisors (764882319408).

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

412232340432 is a wasteful number, since it uses less digits than its factorization.

412232340432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11081 (or 11075 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 412232340432 its reverse (234043232214), we get a palindrome (646275572646).

The spelling of 412232340432 in words is "four hundred twelve billion, two hundred thirty-two million, three hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 249 264 332 498 528 664 913 937 996 1328 1826 1874 1992 2739 2811 3652 3748 3984 5478 5622 7304 7496 10039 10307 10956 11244 14608 14992 20078 20614 21912 22488 30117 30921 40156 41228 43824 44976 60234 61842 77771 80312 82456 110429 120468 123684 155542 160624 164912 220858 233313 240936 247368 311084 331287 441716 466626 481872 494736 622168 662574 833237 855481 883432 933252 1244336 1325148 1666474 1710962 1766864 1866504 2499711 2566443 2650296 3332948 3421924 3733008 4999422 5132886 5300592 6665896 6843848 9165607 9406543 9998844 10265772 13331792 13687696 18331214 18813086 19997688 20531544 27496821 28219629 36662428 37626172 39995376 41063088 54993642 56439258 73324856 75252344 103471973 109987284 112878516 146649712 150504688 206943946 219974568 225757032 310415919 413887892 439949136 451514064 620831838 780743069 827775784 1241663676 1561486138 1655551568 2342229207 2483327352 3122972276 4684458414 4966654704 6245944552 8588173759 9368916828 12491889104 17176347518 18737833656 25764521277 34352695036 37475667312 51529042554 68705390072 103058085108 137410780144 206116170216 412232340432