Search a number
-
+
4013103042 = 234134146477
BaseRepresentation
bin1110111100110011…
…0001011111000010
3101100200100202110000
43233030301133002
531204323244132
61502114420430
7201306545604
oct35714613702
911320322400
104013103042
11177a323793
1293bb91716
134bc55b7b0
142a0da5174
151874b287c
hexef3317c2

4013103042 has 80 divisors (see below), whose sum is σ = 9920450232. Its totient is φ = 1204657920.

The previous prime is 4013103041. The next prime is 4013103049. The reversal of 4013103042 is 2403013104.

It can be written as a sum of positive squares in 4 ways, for example, as 1144536561 + 2868566481 = 33831^2 + 53559^2 .

It is a super-2 number, since 2×40131030422 = 32209992051419307528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4013103041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63108 + ... + 109584.

Almost surely, 24013103042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013103042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960225116).

4013103042 is an abundant number, since it is smaller than the sum of its proper divisors (5907347190).

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

4013103042 is a wasteful number, since it uses less digits than its factorization.

4013103042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46545 (or 46536 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4013103042 is about 63349.0571516262. The cubic root of 4013103042 is about 1589.1324779844.

Adding to 4013103042 its reverse (2403013104), we get a palindrome (6416116146).

The spelling of 4013103042 in words is "four billion, thirteen million, one hundred three thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 81 82 117 123 162 234 246 351 369 533 702 738 1053 1066 1107 1599 2106 2214 3198 3321 4797 6642 9594 14391 28782 43173 46477 86346 92954 139431 278862 418293 604201 836586 1208402 1254879 1812603 1905557 2509758 3625206 3764637 3811114 5437809 5716671 7529274 10875618 11433342 16313427 17150013 24772241 32626854 34300026 48940281 49544482 51450039 74316723 97880562 102900078 148633446 154350117 222950169 308700234 445900338 668850507 1337701014 2006551521 4013103042