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40218201828 = 22327757210827
BaseRepresentation
bin100101011101001100…
…010000111011100100
310211210212122100010200
4211131030100323210
51124331324424303
630250451350500
72622434034510
oct453514207344
9124725570120
1040218201828
1116069143332
127964bb2430
133a3c34067c
141d3756b140
1510a5c393a3
hex95d310ee4

40218201828 has 72 divisors (see below), whose sum is σ = 116339950272. Its totient is φ = 11475680832.

The previous prime is 40218201781. The next prime is 40218201851. The reversal of 40218201828 is 82810281204.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40218201792 and 40218201801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85351 + ... + 296177.

Almost surely, 240218201828 is an apocalyptic number.

It is an amenable number.

40218201828 is an abundant number, since it is smaller than the sum of its proper divisors (76121748444).

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

40218201828 is a wasteful number, since it uses less digits than its factorization.

40218201828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211601 (or 211596 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 40218201828 in words is "forty billion, two hundred eighteen million, two hundred one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 757 1514 2271 3028 4542 5299 6813 9084 10598 13626 15897 21196 27252 31794 47691 63588 95382 190764 210827 421654 632481 843308 1264962 1475789 1897443 2529924 2951578 3794886 4427367 5903156 7589772 8854734 13282101 17709468 26564202 53128404 159596039 319192078 478788117 638384156 957576234 1117172273 1436364351 1915152468 2234344546 2872728702 3351516819 4468689092 5745457404 6703033638 10054550457 13406067276 20109100914 40218201828