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40066253424 = 2434193160183
BaseRepresentation
bin100101010100001000…
…101000001001110000
310211102021201120010000
4211110020220021300
51124023430102144
630223422510000
72615610351321
oct452410501160
9124367646100
1040066253424
1115aa03a023a
127922135300
133a16a0b982
141d212d6448
151097722769
hex954228270

40066253424 has 100 divisors (see below), whose sum is σ = 116564935696. Its totient is φ = 13286135808.

The previous prime is 40066253393. The next prime is 40066253431. The reversal of 40066253424 is 42435266004.

40066253424 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 625 + 3 + 4 + 24 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 170037 + ... + 330219.

Almost surely, 240066253424 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 40066253424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58282467848).

40066253424 is an abundant number, since it is smaller than the sum of its proper divisors (76498682272).

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

40066253424 is a wasteful number, since it uses less digits than its factorization.

40066253424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160396 (or 160381 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 40066253424 in words is "forty billion, sixty-six million, two hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 193 216 324 386 432 579 648 772 1158 1296 1544 1737 2316 3088 3474 4632 5211 6948 9264 10422 13896 15633 20844 27792 31266 41688 62532 83376 125064 160183 250128 320366 480549 640732 961098 1281464 1441647 1922196 2562928 2883294 3844392 4324941 5766588 7688784 8649882 11533176 12974823 17299764 23066352 25949646 30915319 34599528 51899292 61830638 69199056 92745957 103798584 123661276 185491914 207597168 247322552 278237871 370983828 494645104 556475742 741967656 834713613 1112951484 1483935312 1669427226 2225902968 2504140839 3338854452 4451805936 5008281678 6677708904 10016563356 13355417808 20033126712 40066253424