Search a number
-
+
4124334130 = 2571737471993
BaseRepresentation
bin1111010111010100…
…0101100000110010
3101122102122212210221
43311311011200302
531421312143010
61521130443254
7204130155520
oct36565054062
911572585727
104124334130
111827096304
1297129352a
135096052c7
142b1a7b310
15192134dda
hexf5d45832

4124334130 has 128 divisors (see below), whose sum is σ = 9427249152. Its totient is φ = 1266720768.

The previous prime is 4124334127. The next prime is 4124334131. The reversal of 4124334130 is 314334214.

4124334130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4124334095 and 4124334104.

It is not an unprimeable number, because it can be changed into a prime (4124334131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2068414 + ... + 2070406.

It is an arithmetic number, because the mean of its divisors is an integer number (73650384).

Almost surely, 24124334130 is an apocalyptic number.

4124334130 is an abundant number, since it is smaller than the sum of its proper divisors (5302915022).

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

4124334130 is a wasteful number, since it uses less digits than its factorization.

4124334130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108.

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4124334130 is about 64220.9788931935. The cubic root of 4124334130 is about 1603.6808653689.

Adding to 4124334130 its reverse (314334214), we get a palindrome (4438668344).

The spelling of 4124334130 in words is "four billion, one hundred twenty-four million, three hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 37 47 70 74 85 94 119 170 185 235 238 259 329 370 470 518 595 629 658 799 1190 1258 1295 1598 1645 1739 1993 2590 3145 3290 3478 3986 3995 4403 5593 6290 7990 8695 8806 9965 11186 12173 13951 17390 19930 22015 24346 27902 27965 29563 33881 44030 55930 59126 60865 67762 69755 73741 93671 121730 139510 147482 147815 169405 187342 206941 237167 295630 338810 368705 413882 468355 474334 516187 655697 737410 936710 1032374 1034705 1185835 1253597 1311394 1592407 2069410 2371670 2507194 2580935 3184814 3278485 3465827 5161870 6267985 6556970 6931654 7962035 8775179 11146849 12535970 15924070 17329135 17550358 22293698 24260789 34658270 43875895 48521578 55734245 58919059 87751790 111468490 117838118 121303945 242607890 294595295 412433413 589190590 824866826 2062167065 4124334130