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40013362422 = 23311293975851
BaseRepresentation
bin100101010000111110…
…110111010011110110
310211021121012102022000
4211100332313103312
51123421410044142
630214253120130
72614365653205
oct452076672366
9124247172260
1040013362422
1115a73555470
127908489046
133a08a80717
141d1828923c
151092c7614c
hex950fb74f6

40013362422 has 128 divisors (see below), whose sum is σ = 100616947200. Its totient is φ = 11675664000.

The previous prime is 40013362357. The next prime is 40013362447. The reversal of 40013362422 is 22426331004.

40013362422 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 33 + 624 + 2 + 2 = 666.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6835797 + ... + 6841647.

It is an arithmetic number, because the mean of its divisors is an integer number (786069900).

Almost surely, 240013362422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40013362422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50308473600).

40013362422 is an abundant number, since it is smaller than the sum of its proper divisors (60603584778).

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

40013362422 is a wasteful number, since it uses less digits than its factorization.

40013362422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299 (or 6293 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40013362422 its reverse (22426331004), we get a palindrome (62439693426).

The spelling of 40013362422 in words is "forty billion, thirteen million, three hundred sixty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 397 522 594 638 783 794 957 1191 1566 1914 2382 2871 3573 4367 5742 5851 7146 8613 8734 10719 11513 11702 13101 17226 17553 21438 23026 26202 34539 35106 39303 52659 64361 69078 78606 103617 105318 117909 126643 128722 157977 169679 193083 207234 235818 253286 310851 315954 339358 379929 386166 509037 579249 621702 759858 1018074 1139787 1158498 1527111 1737747 1866469 2279574 2322847 3054222 3419361 3475494 3732938 4581333 4645694 5599407 6838722 6968541 9162666 11198814 13937082 16798221 20905623 25551317 33596442 41811246 50394663 51102634 62716869 67362563 76653951 100789326 125433738 134725126 153307902 202087689 229961853 404175378 459923706 606263067 689885559 740988193 1212526134 1379771118 1481976386 1818789201 2222964579 3637578402 4445929158 6668893737 13337787474 20006681211 40013362422