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4003114000312 = 2372171181508643
BaseRepresentation
bin111010010000001100001…
…100000001111110111000
3112011200201220020022022001
4322100030030001332320
51011041334141002222
612303001041510344
7562133616401200
oct72201414017670
915150656208261
104003114000312
111303790546149
125479b69423b4
13230651cb607b
14dba74b3d400
156e1e456be27
hex3a40c301fb8

4003114000312 has 96 divisors (see below), whose sum is σ = 9252732831120. Its totient is φ = 1613331041280.

The previous prime is 4003114000177. The next prime is 4003114000313. The reversal of 4003114000312 is 2130004113004.

It is a self number, because there is not a number n which added to its sum of digits gives 4003114000312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003114000313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7615863 + ... + 8124505.

Almost surely, 24003114000312 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 4003114000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626366415560).

4003114000312 is an abundant number, since it is smaller than the sum of its proper divisors (5249618830808).

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

4003114000312 is a wasteful number, since it uses less digits than its factorization.

4003114000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509861 (or 509850 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 4003114000312 its reverse (2130004113004), we get a palindrome (6133118113316).

The spelling of 4003114000312 in words is "four trillion, three billion, one hundred fourteen million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1181 1666 2362 3332 4724 6664 8267 9448 16534 20077 33068 40154 57869 66136 80308 115738 140539 160616 231476 281078 462952 508643 562156 983773 1017286 1124312 1967546 2034572 3560501 3935092 4069144 7121002 7870184 8646931 14242004 17293862 24923507 28484008 34587724 49847014 60528517 69175448 99694028 121057034 199388056 242114068 423699619 484228136 600707383 847399238 1201414766 1694798476 2402829532 3389596952 4204951681 4805659064 8409903362 10212025511 16819806724 20424051022 29434661767 33639613448 40848102044 58869323534 71484178577 81696204088 117738647068 142968357154 235477294136 285936714308 500389250039 571873428616 1000778500078 2001557000156 4003114000312