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234304120210440 = 23357278933476441
BaseRepresentation
bin110101010001100100101101…
…110110101100010000001000
31010201121020212222211220220110
4311101210231312230100020
5221202314314233213230
62150153454334154320
7100231625344115040
oct6521445566542010
91121536788756813
10234304120210440
1168724901621365
122234185b9529a0
13a097a25b157a7
1441c0546738720
151c14bc40a04b0
hexd5192ddac408

234304120210440 has 64 divisors (see below), whose sum is σ = 803328412152960. Its totient is φ = 53555227476480.

The previous prime is 234304120210397. The next prime is 234304120210441. The reversal of 234304120210440 is 44012021403432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234304120210398 and 234304120210407.

It is not an unprimeable number, because it can be changed into a prime (234304120210441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139466737381 + ... + 139466739060.

It is an arithmetic number, because the mean of its divisors is an integer number (12552006439890).

Almost surely, 2234304120210440 is an apocalyptic number.

234304120210440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234304120210440 is an abundant number, since it is smaller than the sum of its proper divisors (569024291942520).

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

234304120210440 is a wasteful number, since it uses less digits than its factorization.

234304120210440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278933476462 (or 278933476458 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 234304120210440 its reverse (44012021403432), we get a palindrome (278316141613872).

The spelling of 234304120210440 in words is "two hundred thirty-four trillion, three hundred four billion, one hundred twenty million, two hundred ten thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 278933476441 557866952882 836800429323 1115733905764 1394667382205 1673600858646 1952534335087 2231467811528 2789334764410 3347201717292 3905068670174 4184002146615 5578669528820 5857603005261 6694403434584 7810137340348 8368004293230 9762671675435 11157339057640 11715206010522 15620274680696 16736008586460 19525343350870 23430412021044 29288015026305 33472017172920 39050686701740 46860824042088 58576030052610 78101373403480 117152060105220 234304120210440