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4117180340 = 2257134352609
BaseRepresentation
bin1111010101100111…
…0010111110110100
3101121221012102122202
43311121302332310
531412444232330
61520313244032
7204012312140
oct36531627664
911557172582
104117180340
11182304a589
1296aa03618
13507c9c0b0
142b0b38220
151916c0445
hexf5672fb4

4117180340 has 96 divisors (see below), whose sum is σ = 10889007360. Its totient is φ = 1272692736.

The previous prime is 4117180337. The next prime is 4117180381. The reversal of 4117180340 is 430817114.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51956 + ... + 104564.

It is an arithmetic number, because the mean of its divisors is an integer number (113427160).

Almost surely, 24117180340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4117180340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444503680).

4117180340 is an abundant number, since it is smaller than the sum of its proper divisors (6771827020).

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

4117180340 is a wasteful number, since it uses less digits than its factorization.

4117180340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52681 (or 52679 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 4117180340 is about 64165.2580451446. The cubic root of 4117180340 is about 1602.7531167712.

Adding to 4117180340 its reverse (430817114), we get a palindrome (4547997454).

The spelling of 4117180340 in words is "four billion, one hundred seventeen million, one hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 52 65 70 86 91 130 140 172 182 215 260 301 364 430 455 559 602 860 910 1118 1204 1505 1820 2236 2795 3010 3913 5590 6020 7826 11180 15652 19565 39130 52609 78260 105218 210436 263045 368263 526090 683917 736526 1052180 1367834 1473052 1841315 2262187 2735668 3419585 3682630 4524374 4787419 6839170 7365260 9048748 9574838 11310935 13678340 15835309 19149676 22621870 23937095 29408431 31670618 45243740 47874190 58816862 63341236 79176545 95748380 117633724 147042155 158353090 205859017 294084310 316706180 411718034 588168620 823436068 1029295085 2058590170 4117180340