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414144040204104 = 23372838710752991
BaseRepresentation
bin101111000101010010110110…
…0011001101111011101001000
32000022100210011020020120202120
41132022211230121233131020
5413240313443243012404
64024451051235331240
7153142630250664060
oct13612455431573510
92008323136216676
10414144040204104
1110aa60556a89581
123a547a81150b20
1314a118000c0ab2
14743a96db223a0
1532d2c847b59d9
hex178a96c66f748

414144040204104 has 64 divisors (see below), whose sum is σ = 1187449847869440. Its totient is φ = 117908752472640.

The previous prime is 414144040204099. The next prime is 414144040204121. The reversal of 414144040204104 is 401402040441414.

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, 4355328952 + ... + 4355424039.

It is an arithmetic number, because the mean of its divisors is an integer number (18553903872960).

Almost surely, 2414144040204104 is an apocalyptic number.

It is an amenable number.

414144040204104 is an abundant number, since it is smaller than the sum of its proper divisors (773305807665336).

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

414144040204104 is a wasteful number, since it uses less digits than its factorization.

414144040204104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8710753290 (or 8710753286 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 414144040204104 its reverse (401402040441414), we get a palindrome (815546080645518).

The spelling of 414144040204104 in words is "four hundred fourteen trillion, one hundred forty-four billion, forty million, two hundred four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 849 1132 1698 1981 2264 3396 3962 5943 6792 7924 11886 15848 23772 47544 8710752991 17421505982 26132258973 34843011964 52264517946 60975270937 69686023928 104529035892 121950541874 182925812811 209058071784 243901083748 365851625622 487802167496 731703251244 1463406502488 2465143096453 4930286192906 7395429289359 9860572385812 14790858578718 17256001675171 19721144771624 29581717157436 34512003350342 51768005025513 59163434314872 69024006700684 103536010051026 138048013401368 207072020102052 414144040204104