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2314003452240 = 243548809197539
BaseRepresentation
bin100001101011000101010…
…110101001000101010000
322012012211212201221212110
4201223011112221011100
5300403034340432430
64531012152425320
7326116106544654
oct41530526510520
98165755657773
102314003452240
118123aa694007
123145770a8240
1313a29561029c
147ddd9726a64
15402d4c527b0
hex21ac55a9150

2314003452240 has 80 divisors (see below), whose sum is σ = 7173593985600. Its totient is φ = 617051821056.

The previous prime is 2314003452209. The next prime is 2314003452251. The reversal of 2314003452240 is 422543004132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23140034522402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2314003452198 and 2314003452207.

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, 11615391 + ... + 11812929.

It is an arithmetic number, because the mean of its divisors is an integer number (89669924820).

Almost surely, 22314003452240 is an apocalyptic number.

2314003452240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2314003452240 is an abundant number, since it is smaller than the sum of its proper divisors (4859590533360).

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

2314003452240 is a wasteful number, since it uses less digits than its factorization.

2314003452240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246364 (or 246358 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 2314003452240 its reverse (422543004132), we get a palindrome (2736546456372).

The spelling of 2314003452240 in words is "two trillion, three hundred fourteen billion, three million, four hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 48809 97618 146427 195236 197539 244045 292854 390472 395078 488090 585708 592617 732135 780944 790156 976180 987695 1171416 1185234 1464270 1580312 1952360 1975390 2342832 2370468 2928540 2963085 3160624 3904720 3950780 4740936 5857080 5926170 7901560 9481872 11714160 11852340 15803120 23704680 47409360 9641681051 19283362102 28925043153 38566724204 48208405255 57850086306 77133448408 96416810510 115700172612 144625215765 154266896816 192833621020 231400345224 289250431530 385667242040 462800690448 578500863060 771334484080 1157001726120 2314003452240