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40421414112 = 2531923395111
BaseRepresentation
bin100101101001010011…
…011101010011100000
310212100001000120222120
4211221103131103200
51130240340222422
630322551104240
72630452231242
oct455123352340
9125301016876
1040421414112
111616291a772
127a01072080
133a72480b21
141d56548092
1510b89ca45c
hex9694dd4e0

40421414112 has 96 divisors (see below), whose sum is σ = 112171288320. Its totient is φ = 12709739520.

The previous prime is 40421414107. The next prime is 40421414129. The reversal of 40421414112 is 21141412404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×404214141124 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 377437 + ... + 472547.

It is an arithmetic number, because the mean of its divisors is an integer number (1168450920).

Almost surely, 240421414112 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 40421414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56085644160).

40421414112 is an abundant number, since it is smaller than the sum of its proper divisors (71749874208).

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

40421414112 is a wasteful number, since it uses less digits than its factorization.

40421414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95376 (or 95368 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 40421414112 its reverse (21141412404), we get a palindrome (61562826516).

The spelling of 40421414112 in words is "forty billion, four hundred twenty-one million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 233 304 456 466 608 699 912 932 1398 1824 1864 2796 3728 4427 5592 7456 8854 11184 13281 17708 22368 26562 35416 53124 70832 95111 106248 141664 190222 212496 285333 380444 424992 570666 760888 1141332 1521776 1807109 2282664 3043552 3614218 4565328 5421327 7228436 9130656 10842654 14456872 21685308 22160863 28913744 43370616 44321726 57827488 66482589 86741232 88643452 132965178 173482464 177286904 265930356 354573808 421056397 531860712 709147616 842112794 1063721424 1263169191 1684225588 2127442848 2526338382 3368451176 5052676764 6736902352 10105353528 13473804704 20210707056 40421414112