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2403342033312 = 253112371959887
BaseRepresentation
bin100010111110010010010…
…110010010000110100000
322111202110001001002210110
4202332102112102012200
5303334021030031222
65040025144331320
7335431025135313
oct42762226220640
98452401032713
102403342033312
11847284a17290
1232994a473b40
131458323b0bcc
148447285097a
15427b2ecd30c
hex22f925921a0

2403342033312 has 96 divisors (see below), whose sum is σ = 6885207512064. Its totient is φ = 727977542400.

The previous prime is 2403342033271. The next prime is 2403342033397. The reversal of 2403342033312 is 2133302433042.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2403342033312.

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, 2023833 + ... + 2983719.

It is an arithmetic number, because the mean of its divisors is an integer number (71720911584).

Almost surely, 22403342033312 is an apocalyptic number.

2403342033312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2403342033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442603756032).

2403342033312 is an abundant number, since it is smaller than the sum of its proper divisors (4481865478752).

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

2403342033312 is a wasteful number, since it uses less digits than its factorization.

2403342033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962282 (or 962274 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 2403342033312 its reverse (2133302433042), we get a palindrome (4536644466354).

The spelling of 2403342033312 in words is "two trillion, four hundred three billion, three hundred forty-two million, thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2371 4742 7113 9484 14226 18968 26081 28452 37936 52162 56904 75872 78243 104324 113808 156486 208648 227616 312972 417296 625944 834592 959887 1251888 1919774 2503776 2879661 3839548 5759322 7679096 10558757 11518644 15358192 21117514 23037288 30716384 31676271 42235028 46074576 63352542 84470056 92149152 126705084 168940112 253410168 337880224 506820336 1013640672 2275892077 4551784154 6827676231 9103568308 13655352462 18207136616 25034812847 27310704924 36414273232 50069625694 54621409848 72828546464 75104438541 100139251388 109242819696 150208877082 200278502776 218485639392 300417754164 400557005552 600835508328 801114011104 1201671016656 2403342033312