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201414302388 = 2232132914840429
BaseRepresentation
bin1011101110010100111…
…0100101101010110100
3201020212220112200122100
42323211032211222310
511244444030134023
6232310051302100
720360143215405
oct2734516455264
9636786480570
10201414302388
1178468139552
12330512aa930
1315cbb3378b0
149a69c779ac
15538c6e1c43
hex2ee53a5ab4

201414302388 has 72 divisors (see below), whose sum is σ = 567201234600. Its totient is φ = 59836605696.

The previous prime is 201414302387. The next prime is 201414302491. The reversal of 201414302388 is 883203414102.

It is a happy number.

201414302388 is a `hidden beast` number, since 2 + 0 + 1 + 414 + 3 + 0 + 238 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37379582244 + 164034720144 = 193338^2 + 405012^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201414302387) 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, 7406643 + ... + 7433786.

It is an arithmetic number, because the mean of its divisors is an integer number (7877794925).

Almost surely, 2201414302388 is an apocalyptic number.

It is an amenable number.

201414302388 is an abundant number, since it is smaller than the sum of its proper divisors (365786932212).

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

201414302388 is a wasteful number, since it uses less digits than its factorization.

201414302388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14840481 (or 14840476 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 201414302388 in words is "two hundred one billion, four hundred fourteen million, three hundred two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 14840429 29680858 44521287 59361716 89042574 133563861 178085148 192925577 267127722 385851154 430372441 534255444 578776731 771702308 860744882 1157553462 1291117323 1721489764 1736330193 2315106924 2582234646 3472660386 3873351969 5164469292 5594841733 6945320772 7746703938 11189683466 15493407876 16784525199 22379366932 33569050398 50353575597 67138100796 100707151194 201414302388