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2434141983 = 3721337537
BaseRepresentation
bin1001000100010110…
…0000111100011111
320021122021020001210
42101011200330133
514441120020413
61041312035503
7114214602600
oct22105407437
96248236053
102434141983
11103a011999
1257b232b93
132ca3b1000
141913c9da7
15e3a6c3c3
hex91160f1f

2434141983 has 48 divisors (see below), whose sum is σ = 4090420320. Its totient is φ = 1283772672.

The previous prime is 2434141961. The next prime is 2434141993. The reversal of 2434141983 is 3891414342.

It is not a de Polignac number, because 2434141983 - 214 = 2434125599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434141943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319191 + ... + 326727.

It is an arithmetic number, because the mean of its divisors is an integer number (85217090).

Almost surely, 22434141983 is an apocalyptic number.

2434141983 is a deficient number, since it is larger than the sum of its proper divisors (1656278337).

2434141983 is an equidigital number, since it uses as much as digits as its factorization.

2434141983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7593 (or 7560 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 2434141983 is about 49337.0244643919. The cubic root of 2434141983 is about 1345.1848546616.

The spelling of 2434141983 in words is "two billion, four hundred thirty-four million, one hundred forty-one thousand, nine hundred eighty-three".

Divisors: 1 3 7 13 21 39 49 91 147 169 273 507 637 1183 1911 2197 3549 6591 7537 8281 15379 22611 24843 46137 52759 97981 107653 158277 293943 322959 369313 685867 1107939 1273753 2057601 3821259 4801069 8916271 14403207 16558789 26748813 49676367 62413897 115911523 187241691 347734569 811380661 2434141983