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4114612336 = 2419291014621
BaseRepresentation
bin1111010101000000…
…0000000001110000
3101121202100222000111
43311100000001300
531411320043321
61520142231104
7203651425222
oct36520000160
911552328014
104114612336
11182165616a
12969b85494
135075b0273
142b066a412
151913645e1
hexf5400070

4114612336 has 80 divisors (see below), whose sum is σ = 8768858400. Its totient is φ = 1862784000.

The previous prime is 4114612331. The next prime is 4114612349. The reversal of 4114612336 is 6332164114.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4114612298 and 4114612307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114612331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888106 + ... + 892726.

It is an arithmetic number, because the mean of its divisors is an integer number (109610730).

Almost surely, 24114612336 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 4114612336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384429200).

4114612336 is an abundant number, since it is smaller than the sum of its proper divisors (4654246064).

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

4114612336 is a wasteful number, since it uses less digits than its factorization.

4114612336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 4772 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 4114612336 is about 64145.2440637652. The cubic root of 4114612336 is about 1602.4198197004.

The spelling of 4114612336 in words is "four billion, one hundred fourteen million, six hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 29 38 58 76 101 116 152 202 232 304 404 464 551 808 1102 1616 1919 2204 2929 3838 4408 4621 5858 7676 8816 9242 11716 15352 18484 23432 30704 36968 46864 55651 73936 87799 111302 134009 175598 222604 268018 351196 445208 466721 536036 702392 890416 933442 1072072 1404784 1866884 2144144 2546171 3733768 5092342 7467536 8867699 10184684 13534909 17735398 20369368 27069818 35470796 40738736 54139636 70941592 108279272 141883184 216558544 257163271 514326542 1028653084 2057306168 4114612336