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201054430314 = 23337239421037
BaseRepresentation
bin1011101100111111000…
…1110010010001101010
3201012221211101021222000
42323033301302101222
511243224413232224
6232210234111430
720345213313603
oct2731761622152
9635854337860
10201054430314
11782a2a91311
1232b7087b576
1315c6190613a
149a3415adaa
15536ad080c9
hex2ecfc7246a

201054430314 has 64 divisors (see below), whose sum is σ = 460783987200. Its totient is φ = 64933856064.

The previous prime is 201054430309. The next prime is 201054430321. The reversal of 201054430314 is 413034450102.

It is a happy number.

201054430314 is a `hidden beast` number, since 201 + 0 + 5 + 443 + 0 + 3 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267004 + ... + 688040.

It is an arithmetic number, because the mean of its divisors is an integer number (7199749800).

Almost surely, 2201054430314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201054430314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230391993600).

201054430314 is an abundant number, since it is smaller than the sum of its proper divisors (259729556886).

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

201054430314 is a wasteful number, since it uses less digits than its factorization.

201054430314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421324 (or 421318 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 201054430314 its reverse (413034450102), we get a palindrome (614088880416).

The spelling of 201054430314 in words is "two hundred one billion, fifty-four million, four hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 239 333 478 666 717 999 1434 1998 2151 4302 6453 8843 12906 17686 26529 53058 79587 159174 238761 421037 477522 842074 1263111 2526222 3789333 7578666 11367999 15578369 22735998 31156738 46735107 93470214 100627843 140205321 201255686 280410642 301883529 420615963 603767058 841231926 905650587 1811301174 2716951761 3723230191 5433903522 7446460382 11169690573 22339381146 33509071719 67018143438 100527215157 201054430314