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240203104314 = 2329167249499
BaseRepresentation
bin1101111110110100111…
…0001000000000111010
3211222000011111222201220
43133231032020000322
512413413443314224
6302203042052510
723232312461445
oct3375516100072
9758004458656
10240203104314
1192962432548
123a67764a136
13198604a49b4
14b8a963c65c
1563acbca279
hex37ed38803a

240203104314 has 48 divisors (see below), whose sum is σ = 499975740000. Its totient is φ = 76842279136.

The previous prime is 240203104289. The next prime is 240203104327. The reversal of 240203104314 is 413401302042.

240203104314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4827937 + ... + 4877435.

It is an arithmetic number, because the mean of its divisors is an integer number (10416161250).

Almost surely, 2240203104314 is an apocalyptic number.

240203104314 is an abundant number, since it is smaller than the sum of its proper divisors (259772635686).

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

240203104314 is a wasteful number, since it uses less digits than its factorization.

240203104314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49867 (or 49700 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 240203104314 its reverse (413401302042), we get a palindrome (653604406356).

The spelling of 240203104314 in words is "two hundred forty billion, two hundred three million, one hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 29 58 87 167 174 334 501 1002 4843 9686 14529 27889 29058 49499 55778 83667 98998 148497 167334 296994 808781 1435471 1617562 2426343 2870942 4306413 4852686 8266333 8612826 16532666 24798999 49597998 239723657 479447314 719170971 1380477611 1438341942 2760955222 4141432833 8282865666 40033850719 80067701438 120101552157 240203104314