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41487538014 = 23313613312927
BaseRepresentation
bin100110101000110110…
…011001011101011110
310222002100010022001000
4212220312121131132
51134431302204024
631020433531130
72666046153216
oct465066313536
9128070108030
1041487538014
111665a6a73aa
12805a113aa6
133bb2300480
142017d89246
15112c3bdcc9
hex9a8d9975e

41487538014 has 128 divisors (see below), whose sum is σ = 101253519360. Its totient is φ = 12513916800.

The previous prime is 41487538009. The next prime is 41487538019. The reversal of 41487538014 is 41083578414.

41487538014 is a `hidden beast` number, since 41 + 487 + 53 + 80 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (41487538009) and next prime (41487538019).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41487538019) 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, 14172619 + ... + 14175545.

It is an arithmetic number, because the mean of its divisors is an integer number (791043120).

Almost surely, 241487538014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41487538014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50626759680).

41487538014 is an abundant number, since it is smaller than the sum of its proper divisors (59765981346).

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

41487538014 is a wasteful number, since it uses less digits than its factorization.

41487538014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 41487538014 in words is "forty-one billion, four hundred eighty-seven million, five hundred thirty-eight thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 61 78 117 122 183 234 331 351 366 549 662 702 793 993 1098 1586 1647 1986 2379 2927 2979 3294 4303 4758 5854 5958 7137 8606 8781 8937 12909 14274 17562 17874 20191 21411 25818 26343 38051 38727 40382 42822 52686 60573 76102 77454 79029 114153 116181 121146 158058 178547 181719 228306 232362 262483 342459 357094 363438 524966 535641 545157 684918 787449 968837 1027377 1071282 1090314 1574898 1606923 1937674 2054754 2321111 2362347 2906511 3213846 4642222 4724694 4820769 5813022 6963333 7087041 8719533 9641538 12594881 13926666 14174082 17439066 20889999 25189762 26158599 37784643 41779998 52317198 59099057 62669997 75569286 113353929 118198114 125339994 177297171 226707858 340061787 354594342 531891513 680123574 768287741 1063783026 1536575482 1595674539 2304863223 3191349078 4609726446 6914589669 13829179338 20743769007 41487538014