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414453144 = 23374752489
BaseRepresentation
bin11000101101000…
…000110110011000
31001212212101211110
4120231000312120
51322100000034
6105043100320
713161536130
oct3055006630
91055771743
10414453144
111a2a47866
12b69716a0
1367b32061
143d087ac0
15265bade9
hex18b40d98

414453144 has 64 divisors (see below), whose sum is σ = 1209369600. Its totient is φ = 115893504.

The previous prime is 414453119. The next prime is 414453157. The reversal of 414453144 is 441354414.

It is a congruent number.

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, 18349 + ... + 34140.

It is an arithmetic number, because the mean of its divisors is an integer number (18896400).

Almost surely, 2414453144 is an apocalyptic number.

It is an amenable number.

414453144 is an abundant number, since it is smaller than the sum of its proper divisors (794916456).

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

414453144 is a wasteful number, since it uses less digits than its factorization.

414453144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52552 (or 52548 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 414453144 is about 20358.1223102721. The cubic root of 414453144 is about 745.5758165620.

The spelling of 414453144 in words is "four hundred fourteen million, four hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1974 2632 3948 7896 52489 104978 157467 209956 314934 367423 419912 629868 734846 1102269 1259736 1469692 2204538 2466983 2939384 4409076 4933966 7400949 8818152 9867932 14801898 17268881 19735864 29603796 34537762 51806643 59207592 69075524 103613286 138151048 207226572 414453144