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4141414720 = 26567193163
BaseRepresentation
bin1111011011011000…
…1111100101000000
3101200121210122222101
43312312033211000
531440200232340
61522540520144
7204425305252
oct36666174500
911617718871
104141414720
1118357a21a3
12976b50054
13510005971
142b4045cd2
151938aac9a
hexf6d8f940

4141414720 has 56 divisors (see below), whose sum is σ = 10008985824. Its totient is φ = 1631832576.

The previous prime is 4141414691. The next prime is 4141414723. The reversal of 4141414720 is 274141414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141414723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75142 + ... + 118021.

Almost surely, 24141414720 is an apocalyptic number.

4141414720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141414720 is an abundant number, since it is smaller than the sum of its proper divisors (5867571104).

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

4141414720 is a wasteful number, since it uses less digits than its factorization.

4141414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193247 (or 193237 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 28.

The square root of 4141414720 is about 64353.8244395778. The cubic root of 4141414720 is about 1605.8916536322.

The spelling of 4141414720 in words is "four billion, one hundred forty-one million, four hundred fourteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 670 1072 1340 2144 2680 4288 5360 10720 21440 193163 386326 772652 965815 1545304 1931630 3090608 3863260 6181216 7726520 12362432 12941921 15453040 25883842 30906080 51767684 61812160 64709605 103535368 129419210 207070736 258838420 414141472 517676840 828282944 1035353680 2070707360 4141414720