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40620204216 = 23334310940123
BaseRepresentation
bin100101110101001001…
…110010000010111000
310212211220002011202000
4211311021302002320
51131142233013331
630354411541000
72635415016234
oct456511620270
9125756064660
1040620204216
1116255056709
127a5775a760
133aa47034c7
141d74ad35c4
1510cb1960e6
hex9752720b8

40620204216 has 128 divisors (see below), whose sum is σ = 116520096000. Its totient is φ = 13103524224.

The previous prime is 40620204199. The next prime is 40620204227. The reversal of 40620204216 is 61240202604.

40620204216 is a `hidden beast` number, since 4 + 0 + 620 + 20 + 4 + 2 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40620204216.

It is a congruent number.

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, 992331 + ... + 1032453.

It is an arithmetic number, because the mean of its divisors is an integer number (910313250).

Almost surely, 240620204216 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 40620204216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260048000).

40620204216 is an abundant number, since it is smaller than the sum of its proper divisors (75899891784).

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

40620204216 is a wasteful number, since it uses less digits than its factorization.

40620204216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40290 (or 40280 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 40620204216 in words is "forty billion, six hundred twenty million, two hundred four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 109 129 172 216 218 258 327 344 387 436 516 654 774 872 981 1032 1161 1308 1548 1962 2322 2616 2943 3096 3924 4644 4687 5886 7848 9288 9374 11772 14061 18748 23544 28122 37496 40123 42183 56244 80246 84366 112488 120369 126549 160492 168732 240738 253098 320984 337464 361107 481476 506196 722214 962952 1012392 1083321 1444428 1725289 2166642 2888856 3450578 4333284 4373407 5175867 6901156 8666568 8746814 10351734 13120221 13802312 15527601 17493628 20703468 26240442 31055202 34987256 39360663 41406936 46582803 52480884 62110404 78721326 93165606 104961768 118081989 124220808 157442652 186331212 188056501 236163978 314885304 372662424 376113002 472327956 564169503 752226004 944655912 1128339006 1504452008 1692508509 2256678012 3385017018 4513356024 5077525527 6770034036 10155051054 13540068072 20310102108 40620204216