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4114252520 = 235715679377
BaseRepresentation
bin1111010100111010…
…1000001011101000
3101121201200200102222
43311032220023220
531411222040040
61520130413212
7203645366210
oct36516501350
911551620388
104114252520
11182142a8a4
12969a31208
135074b5561
142b05b5240
151912e2bb5
hexf53a82e8

4114252520 has 64 divisors (see below), whose sum is σ = 10587386880. Its totient is φ = 1409550336.

The previous prime is 4114252463. The next prime is 4114252531. The reversal of 4114252520 is 252524114.

4114252520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4114252520.

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, 434072 + ... + 443448.

It is an arithmetic number, because the mean of its divisors is an integer number (165427920).

Almost surely, 24114252520 is an apocalyptic number.

4114252520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114252520 is an abundant number, since it is smaller than the sum of its proper divisors (6473134360).

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

4114252520 is a wasteful number, since it uses less digits than its factorization.

4114252520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10962 (or 10958 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 4114252520 is about 64142.4393050342. The cubic root of 4114252520 is about 1602.3731086901.

Adding to 4114252520 its reverse (252524114), we get a palindrome (4366776634).

The spelling of 4114252520 in words is "four billion, one hundred fourteen million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1567 3134 6268 7835 9377 10969 12536 15670 18754 21938 31340 37508 43876 46885 54845 62680 65639 75016 87752 93770 109690 131278 187540 219380 262556 328195 375080 438760 525112 656390 1312780 2625560 14693759 29387518 58775036 73468795 102856313 117550072 146937590 205712626 293875180 411425252 514281565 587750360 822850504 1028563130 2057126260 4114252520