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4114630540 = 2252350317783
BaseRepresentation
bin1111010101000000…
…0100011110001100
3101121202101212222201
43311100010132030
531411321134130
61520142451244
7203651532256
oct36520043614
911552355881
104114630540
111821668909
12969b93b24
135075b8637
142b0672cd6
15191369bca
hexf540478c

4114630540 has 48 divisors (see below), whose sum is σ = 9034841088. Its totient is φ = 1571075264.

The previous prime is 4114630523. The next prime is 4114630543. The reversal of 4114630540 is 450364114.

It is a junction number, because it is equal to n+sod(n) for n = 4114630499 and 4114630508.

It is not an unprimeable number, because it can be changed into a prime (4114630543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222489 + ... + 240271.

It is an arithmetic number, because the mean of its divisors is an integer number (188225856).

Almost surely, 24114630540 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 4114630540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517420544).

4114630540 is an abundant number, since it is smaller than the sum of its proper divisors (4920210548).

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

4114630540 is a wasteful number, since it uses less digits than its factorization.

4114630540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18318 (or 18316 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4114630540 is about 64145.3859603323. The cubic root of 4114630540 is about 1602.4221828560.

Adding to 4114630540 its reverse (450364114), we get a palindrome (4564994654).

The spelling of 4114630540 in words is "four billion, one hundred fourteen million, six hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 503 1006 2012 2515 5030 10060 11569 17783 23138 35566 46276 57845 71132 88915 115690 177830 231380 355660 409009 818018 1636036 2045045 4090090 8180180 8944849 17889698 35779396 44724245 89448490 178896980 205731527 411463054 822926108 1028657635 2057315270 4114630540