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4541414000 = 245317133571
BaseRepresentation
bin1000011101011000…
…00111101001110000
3102201111110201211112
410032230013221300
533300100222000
62030350132452
7220353245024
oct41654075160
912644421745
104541414000
111a20567612
12a68ab1128
13574b46b26
1431120a384
151b8a6e235
hex10eb07a70

4541414000 has 80 divisors (see below), whose sum is σ = 11627175456. Its totient is φ = 1709696000.

The previous prime is 4541413993. The next prime is 4541414027. The reversal of 4541414000 is 4141454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×45414140002 = 41248882238792000000, which contains 22 as substring.

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, 32786 + ... + 100785.

Almost surely, 24541414000 is an apocalyptic number.

4541414000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4541414000 is an abundant number, since it is smaller than the sum of its proper divisors (7085761456).

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

4541414000 is a wasteful number, since it uses less digits than its factorization.

4541414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133611 (or 133595 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4541414000 is about 67390.0140970456. The cubic root of 4541414000 is about 1656.0128337279.

Adding to 4541414000 its reverse (4141454), we get a palindrome (4545555454).

The spelling of 4541414000 in words is "four billion, five hundred forty-one million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 133571 267142 534284 667855 1068568 1335710 2137136 2270707 2671420 3339275 4541414 5342840 6678550 9082828 10685680 11353535 13357100 16696375 18165656 22707070 26714200 33392750 36331312 45414140 53428400 56767675 66785500 90828280 113535350 133571000 181656560 227070700 267142000 283838375 454141400 567676750 908282800 1135353500 2270707000 4541414000