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4045514544 = 24358111283
BaseRepresentation
bin1111000100100001…
…1010011100110000
3101102221100102200000
43301020122130300
531241122431134
61505233230000
7202152210021
oct36110323460
911387312600
104045514544
111796650a55
1294aa02300
134c61992b6
142a5400c48
1518a265e99
hexf121a730

4045514544 has 120 divisors (see below), whose sum is σ = 11764788672. Its totient is φ = 1345792320.

The previous prime is 4045514533. The next prime is 4045514563. The reversal of 4045514544 is 4454155404.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4045514499 and 4045514508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3152527 + ... + 3153809.

Almost surely, 24045514544 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 4045514544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882394336).

4045514544 is an abundant number, since it is smaller than the sum of its proper divisors (7719274128).

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

4045514544 is a wasteful number, since it uses less digits than its factorization.

4045514544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The square root of 4045514544 is about 63604.3594732311. The cubic root of 4045514544 is about 1593.3991785879.

Adding to 4045514544 its reverse (4454155404), we get a palindrome (8499669948).

The spelling of 4045514544 in words is "four billion, forty-five million, five hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 811 972 1283 1296 1622 1944 2433 2566 3244 3849 3888 4866 5132 6488 7299 7698 9732 10264 11547 12976 14598 15396 19464 20528 21897 23094 29196 30792 34641 38928 43794 46188 58392 61584 65691 69282 87588 92376 103923 116784 131382 138564 175176 184752 197073 207846 262764 277128 311769 350352 394146 415692 525528 554256 623538 788292 831384 1040513 1051056 1247076 1576584 1662768 2081026 2494152 3121539 3153168 4162052 4988304 6243078 8324104 9364617 12486156 16648208 18729234 24972312 28093851 37458468 49944624 56187702 74916936 84281553 112375404 149833872 168563106 224750808 252844659 337126212 449501616 505689318 674252424 1011378636 1348504848 2022757272 4045514544