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4141449696 = 253172537653
BaseRepresentation
bin1111011011011001…
…1000000111100000
3101200121212102221210
43312312120013200
531440202342241
61522541350120
7204425512236
oct36666300740
911617772853
104141449696
1118358164aa
12976b68340
13510018867
142b4054956
151938b6316
hexf6d981e0

4141449696 has 48 divisors (see below), whose sum is σ = 11510798544. Its totient is φ = 1299277824.

The previous prime is 4141449677. The next prime is 4141449707. The reversal of 4141449696 is 6969441414.

4141449696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1267195 + ... + 1270458.

It is an arithmetic number, because the mean of its divisors is an integer number (239808303).

Almost surely, 24141449696 is an apocalyptic number.

It is an amenable number.

4141449696 is an abundant number, since it is smaller than the sum of its proper divisors (7369348848).

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

4141449696 is a wasteful number, since it uses less digits than its factorization.

4141449696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537683 (or 2537675 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 4141449696 is about 64354.0961866453. The cubic root of 4141449696 is about 1605.8961744310.

The spelling of 4141449696 in words is "four billion, one hundred forty-one million, four hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2537653 5075306 7612959 10150612 15225918 20301224 30451836 40602448 43140101 60903672 81204896 86280202 121807344 129420303 172560404 243614688 258840606 345120808 517681212 690241616 1035362424 1380483232 2070724848 4141449696