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40932142326 = 23217236019677
BaseRepresentation
bin100110000111101111…
…101110110011110110
310220122122001021101100
4212013233232303312
51132312112023301
630445353510530
72646223316625
oct460757566366
9126578037340
1040932142326
11163a51443a9
127b24112446
133b2422107a
141da42d36bc
1510e8762286
hex987beecf6

40932142326 has 96 divisors (see below), whose sum is σ = 98159076288. Its totient is φ = 12261427200.

The previous prime is 40932142319. The next prime is 40932142333. The reversal of 40932142326 is 62324123904.

40932142326 is a `hidden beast` number, since 4 + 0 + 9 + 321 + 4 + 2 + 326 = 666.

It is an interprime number because it is at equal distance from previous prime (40932142319) and next prime (40932142333).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4225000 + ... + 4234676.

It is an arithmetic number, because the mean of its divisors is an integer number (1022490378).

Almost surely, 240932142326 is an apocalyptic number.

40932142326 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40932142326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49079538144).

40932142326 is an abundant number, since it is smaller than the sum of its proper divisors (57226933962).

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

40932142326 is a wasteful number, since it uses less digits than its factorization.

40932142326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 40932142326 in words is "forty billion, nine hundred thirty-two million, one hundred forty-two thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 601 782 1173 1202 1803 2346 3519 3606 5409 7038 9677 10217 10818 13823 19354 20434 27646 29031 30651 41469 58062 61302 82938 87093 91953 124407 164509 174186 183906 222571 234991 248814 329018 445142 469982 493527 667713 704973 987054 1335426 1409946 1480581 2003139 2114919 2961162 3783707 4006278 4229838 5815877 7567414 11351121 11631754 17447631 22702242 34053363 34895262 52342893 68106726 98869909 104685786 133765171 197739818 267530342 296609727 401295513 593219454 802591026 889829181 1203886539 1779658362 2274007907 2407773078 4548015814 6822023721 13644047442 20466071163 40932142326