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40945014 = 237112337
BaseRepresentation
bin1001110000110…
…0010101110110
32212001020000000
42130030111312
540440220024
64021332130
71005012135
oct234142566
985036000
1040945014
1121126660
1211867046
138637a26
14561b91c
1538dbcc9
hex270c576

40945014 has 128 divisors (see below), whose sum is σ = 107688960. Its totient is φ = 11547360.

The previous prime is 40945007. The next prime is 40945033. The reversal of 40945014 is 41054904.

40945014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106604 + ... + 1106640.

It is an arithmetic number, because the mean of its divisors is an integer number (841320).

Almost surely, 240945014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40945014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53844480).

40945014 is an abundant number, since it is smaller than the sum of its proper divisors (66743946).

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

40945014 is a wasteful number, since it uses less digits than its factorization.

40945014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 40945014 is about 6398.8291116422. The cubic root of 40945014 is about 344.6675057481.

Adding to 40945014 its reverse (41054904), we get a palindrome (81999918).

The spelling of 40945014 in words is "forty million, nine hundred forty-five thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 37 46 54 66 69 74 81 99 111 138 162 198 207 222 243 253 297 333 407 414 486 506 594 621 666 729 759 814 851 891 999 1221 1242 1458 1518 1702 1782 1863 1998 2187 2277 2442 2553 2673 2997 3663 3726 4374 4554 5106 5346 5589 5994 6831 7326 7659 8019 8991 9361 10989 11178 13662 15318 16038 16767 17982 18722 20493 21978 22977 24057 26973 28083 32967 33534 40986 45954 48114 50301 53946 56166 61479 65934 68931 80919 84249 98901 100602 122958 137862 161838 168498 184437 197802 206793 252747 296703 368874 413586 505494 553311 593406 620379 758241 890109 1106622 1240758 1516482 1780218 1861137 2274723 3722274 4549446 6824169 13648338 20472507 40945014