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2414434044 = 22311171956629
BaseRepresentation
bin1000111111101001…
…0101011011111100
320020021011221212010
42033322111123330
514421043342134
61035325411220
7113555231211
oct21772253374
96207157763
102414434044
111029981040
12574709b10
132c62a07c9
1418c939b08
15e1e77ce9
hex8fe956fc

2414434044 has 96 divisors (see below), whose sum is σ = 6849964800. Its totient is φ = 652354560.

The previous prime is 2414434019. The next prime is 2414434051. The reversal of 2414434044 is 4404344142.

It is a congruent number.

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, 14322 + ... + 70950.

It is an arithmetic number, because the mean of its divisors is an integer number (71353800).

Almost surely, 22414434044 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 2414434044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424982400).

2414434044 is an abundant number, since it is smaller than the sum of its proper divisors (4435530756).

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

2414434044 is a wasteful number, since it uses less digits than its factorization.

2414434044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56683 (or 56681 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 2414434044 is about 49136.8908662321. The cubic root of 2414434044 is about 1341.5445996597.

Adding to 2414434044 its reverse (4404344142), we get a palindrome (6818778186).

The spelling of 2414434044 in words is "two billion, four hundred fourteen million, four hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 374 418 561 627 646 748 836 969 1122 1254 1292 1938 2244 2508 3553 3876 7106 10659 14212 21318 42636 56629 113258 169887 226516 339774 622919 679548 962693 1075951 1245838 1868757 1925386 2151902 2491676 2888079 3227853 3737514 3850772 4303804 5776158 6455706 7475028 10589623 11552316 11835461 12911412 18291167 21179246 23670922 31768869 35506383 36582334 42358492 47341844 54873501 63537738 71012766 73164668 109747002 127075476 142025532 201202837 219494004 402405674 603608511 804811348 1207217022 2414434044