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4140617117 = 7132109163197
BaseRepresentation
bin1111011011001100…
…1100110110011101
3101200120022010212112
43312303030312131
531434444221432
61522511443405
7204415444010
oct36663146635
911616263775
104140617117
1118352a7a1a
12976826565
1350cab6900
142b3cb9377
1519379e7b2
hexf6cccd9d

4140617117 has 48 divisors (see below), whose sum is σ = 5229290880. Its totient is φ = 3209746176.

The previous prime is 4140617111. The next prime is 4140617141. The reversal of 4140617117 is 7117160414.

4140617117 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4140617117 - 212 = 4140613021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140617111) 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, 21018263 + ... + 21018459.

It is an arithmetic number, because the mean of its divisors is an integer number (108943560).

Almost surely, 24140617117 is an apocalyptic number.

It is an amenable number.

4140617117 is a deficient number, since it is larger than the sum of its proper divisors (1088673763).

4140617117 is a wasteful number, since it uses less digits than its factorization.

4140617117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 4140617117 is about 64347.6271279680. The cubic root of 4140617117 is about 1605.7885530958.

The spelling of 4140617117 in words is "four billion, one hundred forty million, six hundred seventeen thousand, one hundred seventeen".

Divisors: 1 7 13 91 109 163 169 197 763 1141 1183 1379 1417 2119 2561 9919 14833 17767 17927 18421 21473 27547 32111 33293 124369 128947 150311 192829 224777 230971 233051 279149 417443 1616797 1954043 2922101 3002623 3500099 3628937 5426759 21018361 24500693 25402559 37987313 45501287 318509009 591516731 4140617117