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40002302319 = 3717231892389
BaseRepresentation
bin100101010000010100…
…101011000101101111
310211020211101111200120
4211100110223011233
51123411042133234
630213220100023
72614202650050
oct452024530557
9124224344616
1040002302319
1115a68290891
127904834613
133a066aa495
141d16a0a727
151091cde049
hex95052b16f

40002302319 has 96 divisors (see below), whose sum is σ = 67620556800. Its totient is φ = 20577300480.

The previous prime is 40002302311. The next prime is 40002302341. The reversal of 40002302319 is 91320320004.

It is not a de Polignac number, because 40002302319 - 23 = 40002302311 is a prime.

It is a super-2 number, since 2×400023023192 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40002302311) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 16743177 + ... + 16745565.

It is an arithmetic number, because the mean of its divisors is an integer number (704380800).

Almost surely, 240002302319 is an apocalyptic number.

40002302319 is a deficient number, since it is larger than the sum of its proper divisors (27618254481).

40002302319 is a wasteful number, since it uses less digits than its factorization.

40002302319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 40002302319 in words is "forty billion, two million, three hundred two thousand, three hundred nineteen".

Divisors: 1 3 7 17 21 31 51 89 93 119 217 267 289 357 527 623 651 867 1513 1581 1869 2023 2389 2759 3689 4539 6069 7167 8277 8959 10591 11067 16723 19313 25721 26877 31773 40613 46903 50169 57939 62713 74059 77163 121839 140709 180047 188139 212621 222177 284291 328321 518413 540141 637863 690421 797351 852873 984963 1259003 1488347 1555239 2071263 2392053 3614557 3777009 4465041 4832947 5581457 6591251 8813021 10843671 14498841 16744371 19773753 21403051 25301899 26439063 46138757 61447469 64209153 75905697 112051267 138416271 149821357 184342407 336153801 430132283 449464071 784358869 1290396849 1904871539 2353076607 5714614617 13334100773 40002302319