Search a number
-
+
4114457690 = 2571131493491
BaseRepresentation
bin1111010100111101…
…1010010001011010
3101121202002002212212
43311033122101122
531411300121230
61520135035122
7203650212320
oct36517322132
911552062785
104114457690
11182155aa62
12969b0baa2
13507557a65
142b0629d10
15191333895
hexf53da45a

4114457690 has 64 divisors (see below), whose sum is σ = 8598700800. Its totient is φ = 1388405760.

The previous prime is 4114457687. The next prime is 4114457783. The reversal of 4114457690 is 967544114.

It is a super-2 number, since 2×41144576902 = 33857524165600272200, which contains 22 as substring.

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, 1176845 + ... + 1180335.

It is an arithmetic number, because the mean of its divisors is an integer number (134354700).

Almost surely, 24114457690 is an apocalyptic number.

4114457690 is an abundant number, since it is smaller than the sum of its proper divisors (4484243110).

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

4114457690 is a wasteful number, since it uses less digits than its factorization.

4114457690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767.

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 4114457690 is about 64144.0386162268. The cubic root of 4114457690 is about 1602.3997440206.

The spelling of 4114457690 in words is "four billion, one hundred fourteen million, four hundred fifty-seven thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 35 70 113 149 226 298 565 745 791 1043 1130 1490 1582 2086 3491 3955 5215 6982 7910 10430 16837 17455 24437 33674 34910 48874 84185 117859 122185 168370 235718 244370 394483 520159 589295 788966 1040318 1178590 1972415 2600795 2761381 3641113 3944830 5201590 5522762 7282226 13806905 18205565 27613810 36411130 58777967 117555934 293889835 411445769 587779670 822891538 2057228845 4114457690