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234254045021440 = 285197928989709
BaseRepresentation
bin110101010000110110000101…
…001001000000010100000000
31010201102110122011112202100211
4311100312011021000110000
5221201004241011141230
62150114453405123504
7100225203420044263
oct6520660511002400
91121373564482324
10234254045021440
1168705645473744
1222334005859594
13a0930a560b442
1441bbd56034cda
151c13742d0742a
hexd50d85240500

234254045021440 has 72 divisors (see below), whose sum is σ = 563959925270280. Its totient is φ = 93225975177216.

The previous prime is 234254045021417. The next prime is 234254045021471. The reversal of 234254045021440 is 44120540452432.

It can be written as a sum of positive squares in 4 ways, for example, as 171440684983296 + 62813360038144 = 13093536^2 + 7925488^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 234254045021393 and 234254045021402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464242695 + ... + 464747014.

It is an arithmetic number, because the mean of its divisors is an integer number (7832776739865).

Almost surely, 2234254045021440 is an apocalyptic number.

234254045021440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234254045021440 is an abundant number, since it is smaller than the sum of its proper divisors (329705880248840).

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

234254045021440 is an equidigital number, since it uses as much as digits as its factorization.

234254045021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928989927 (or 928989913 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 234254045021440 its reverse (44120540452432), we get a palindrome (278374585473872).

The spelling of 234254045021440 in words is "two hundred thirty-four trillion, two hundred fifty-four billion, forty-five million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 256 320 394 640 788 985 1280 1576 1970 3152 3940 6304 7880 12608 15760 25216 31520 50432 63040 126080 252160 928989709 1857979418 3715958836 4644948545 7431917672 9289897090 14863835344 18579794180 29727670688 37159588360 59455341376 74319176720 118910682752 148638353440 183010972673 237821365504 297276706880 366021945346 594553413760 732043890692 915054863365 1189106827520 1464087781384 1830109726730 2928175562768 3660219453460 5856351125536 7320438906920 11712702251072 14640877813840 23425404502144 29281755627680 46850809004288 58563511255360 117127022510720 234254045021440