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4115434120 = 235717864587
BaseRepresentation
bin1111010101001100…
…1000101010001000
3101121210220201021221
43311103020222020
531412022342440
61520212011424
7203661420130
oct36523105210
911553821257
104115434120
111822067626
1296a300b74
1350780a325
142b0801ac0
15191477d4a
hexf54c8a88

4115434120 has 64 divisors (see below), whose sum is σ = 11205060480. Its totient is φ = 1328004096.

The previous prime is 4115434093. The next prime is 4115434199. The reversal of 4115434120 is 214345114.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 427534 + ... + 437053.

It is an arithmetic number, because the mean of its divisors is an integer number (175079070).

Almost surely, 24115434120 is an apocalyptic number.

4115434120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4115434120 is an abundant number, since it is smaller than the sum of its proper divisors (7089626360).

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

4115434120 is a wasteful number, since it uses less digits than its factorization.

4115434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864622 (or 864618 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4115434120 is about 64151.6493942284. The cubic root of 4115434120 is about 1602.5264927965.

Adding to 4115434120 its reverse (214345114), we get a palindrome (4329779234).

The spelling of 4115434120 in words is "four billion, one hundred fifteen million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 864587 1729174 3458348 4322935 6052109 6916696 8645870 12104218 14697979 17291740 24208436 29395958 30260545 34583480 48416872 58791916 60521090 73489895 102885853 117583832 121042180 146979790 205771706 242084360 293959580 411543412 514429265 587919160 823086824 1028858530 2057717060 4115434120