Search a number
-
+
413244201412 = 227175327915869
BaseRepresentation
bin1100000001101110100…
…01100001100111000100
31110111122200212111211001
412000313101201213010
523232311003421122
6513501453223044
741566401520060
oct6006721414704
91414580774731
10413244201412
1114a28a63a9a9
126810a791a84
132cc794a2303
1416003138aa0
15ab394d6527
hex60374619c4

413244201412 has 96 divisors (see below), whose sum is σ = 892088225280. Its totient is φ = 163455252480.

The previous prime is 413244201397. The next prime is 413244201451. The reversal of 413244201412 is 214102442314.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 70408414 + ... + 70414282.

It is an arithmetic number, because the mean of its divisors is an integer number (9292585680).

Almost surely, 2413244201412 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 413244201412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446044112640).

413244201412 is an abundant number, since it is smaller than the sum of its proper divisors (478844023868).

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

413244201412 is a wasteful number, since it uses less digits than its factorization.

413244201412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8741 (or 8739 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 413244201412 its reverse (214102442314), we get a palindrome (627346643726).

It can be divided in two parts, 413244 and 201412, that added together give a 4-th power (614656 = 284).

The spelling of 413244201412 in words is "four hundred thirteen billion, two hundred forty-four million, two hundred one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 17 28 34 53 68 106 119 212 238 371 476 742 901 1484 1802 2791 3604 5582 5869 6307 11164 11738 12614 19537 23476 25228 39074 41083 47447 78148 82166 94894 99773 147923 164332 189788 199546 295846 311057 332129 399092 591692 622114 664258 698411 1035461 1244228 1328516 1396822 2070922 2177399 2514691 2793644 4141844 4354798 5029382 5287969 8709596 10058764 10575938 16380379 17602837 21151876 32760758 35205674 37015783 65521516 70411348 74031566 114662653 148063132 229325306 278466443 458650612 556932886 868160087 1113865772 1736320174 1949265101 3472640348 3898530202 6077120609 7797060404 12154241218 14758721479 24308482436 29517442958 59034885916 103311050353 206622100706 413244201412