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40215442428 = 22327616739047
BaseRepresentation
bin100101011101000001…
…101111001111111100
310211210200110010221200
4211131001233033330
51124330123124203
630250312255500
72622401422560
oct453501571774
9124720403850
1040215442428
1116067629137
1279640a1590
133a3b8b56a5
141d3704d6a0
1510a58919a3
hex95d06f3fc

40215442428 has 144 divisors (see below), whose sum is σ = 119847995904. Its totient is φ = 11132795520.

The previous prime is 40215442373. The next prime is 40215442433. The reversal of 40215442428 is 82424451204.

40215442428 is a `hidden beast` number, since 40 + 2 + 154 + 42 + 428 = 666.

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 = 40215442392 and 40215442401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010401 + ... + 1049447.

Almost surely, 240215442428 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 40215442428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59923997952).

40215442428 is an abundant number, since it is smaller than the sum of its proper divisors (79632553476).

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

40215442428 is a wasteful number, since it uses less digits than its factorization.

40215442428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39192 (or 39187 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The spelling of 40215442428 in words is "forty billion, two hundred fifteen million, four hundred forty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 67 84 122 126 134 183 201 244 252 268 366 402 427 469 549 603 732 804 854 938 1098 1206 1281 1407 1708 1876 2196 2412 2562 2814 3843 4087 4221 5124 5628 7686 8174 8442 12261 15372 16348 16884 24522 28609 36783 39047 49044 57218 73566 78094 85827 114436 117141 147132 156188 171654 234282 257481 273329 343308 351423 468564 514962 546658 702846 819987 1029924 1093316 1405692 1639974 2381867 2459961 2616149 3279948 4763734 4919922 5232298 7145601 7848447 9527468 9839844 10464596 14291202 15696894 16673069 18313043 21436803 23545341 28582404 31393788 33346138 36626086 42873606 47090682 50019207 54939129 66692276 73252172 85747212 94181364 100038414 109878258 150057621 159585089 164817387 200076828 219756516 300115242 319170178 329634774 478755267 600230484 638340356 659269548 957510534 1117095623 1436265801 1915021068 2234191246 2872531602 3351286869 4468382492 5745063204 6702573738 10053860607 13405147476 20107721214 40215442428