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4013141132 = 22711135318911
BaseRepresentation
bin1110111100110011…
…1010110010001100
3101100200102200200202
43233030322302030
531204331004012
61502115313032
7201310064630
oct35714726214
911320380622
104013141132
11177a34a370
1293bbab778
134bc572c30
142a0db4dc0
151874bdcc2
hexef33ac8c

4013141132 has 96 divisors (see below), whose sum is σ = 9607901184. Its totient is φ = 1415980800.

The previous prime is 4013141087. The next prime is 4013141173. The reversal of 4013141132 is 2311413104.

It is a super-2 number, since 2×40131411322 = 32210603490700482848, 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, 202757 + ... + 221667.

It is an arithmetic number, because the mean of its divisors is an integer number (100082304).

Almost surely, 24013141132 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 4013141132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803950592).

4013141132 is an abundant number, since it is smaller than the sum of its proper divisors (5594760052).

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

4013141132 is a wasteful number, since it uses less digits than its factorization.

4013141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18999 (or 18997 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4013141132 is about 63349.3577868000. The cubic root of 4013141132 is about 1589.1375056703.

Adding to 4013141132 its reverse (2311413104), we get a palindrome (6324554236).

The spelling of 4013141132 in words is "four billion, thirteen million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 53 77 91 106 143 154 182 212 286 308 364 371 572 583 689 742 1001 1166 1378 1484 2002 2332 2756 4004 4081 4823 7579 8162 9646 15158 16324 18911 19292 30316 37822 53053 75644 106106 132377 208021 212212 245843 264754 416042 491686 529508 832084 983372 1002283 1456147 1720901 2004566 2704273 2912294 3441802 4009132 5408546 5824588 6883604 7015981 10817092 11025113 13029679 14031962 18929911 22050226 26059358 28063924 37859822 44100452 52118716 75719644 77175791 91207753 143326469 154351582 182415506 286652938 308703164 364831012 573305876 1003285283 2006570566 4013141132