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2343314242440 = 233256509206229
BaseRepresentation
bin100010000110011000011…
…010011011101110001000
322022000111121011101010200
4202012120122123232020
5301343101421224230
64552300444412200
7331204340262543
oct42063032335610
98260447141120
102343314242440
11823880888566
1231a197247060
1313cc86c73422
14815ba40585a
1540e4d0db160
hex2219869bb88

2343314242440 has 48 divisors (see below), whose sum is σ = 7615771289100. Its totient is φ = 624883797888.

The previous prime is 2343314242429. The next prime is 2343314242447. The reversal of 2343314242440 is 442424133432.

2343314242440 is a `hidden beast` number, since 2 + 3 + 4 + 33 + 142 + 42 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2215269070884 + 128045171556 = 1488378^2 + 357834^2 .

It is a super-2 number, since 2×23433142424402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2343314242395 and 2343314242404.

It is not an unprimeable number, because it can be changed into a prime (2343314242447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3254602755 + ... + 3254603474.

Almost surely, 22343314242440 is an apocalyptic number.

2343314242440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2343314242440 is an abundant number, since it is smaller than the sum of its proper divisors (5272457046660).

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

2343314242440 is a wasteful number, since it uses less digits than its factorization.

2343314242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509206246 (or 6509206239 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 2343314242440 its reverse (442424133432), we get a palindrome (2785738375872).

The spelling of 2343314242440 in words is "two trillion, three hundred forty-three billion, three hundred fourteen million, two hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 6509206229 13018412458 19527618687 26036824916 32546031145 39055237374 52073649832 58582856061 65092062290 78110474748 97638093435 117165712122 130184124580 156220949496 195276186870 234331424244 260368249160 292914280305 390552373740 468662848488 585828560610 781104747480 1171657121220 2343314242440