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314434300430430 = 232527112891935237
BaseRepresentation
bin100011101111110011111000…
…0110010000100100001011110
31112020022121220000202022111200
41013133213300302010201132
5312203142421402233210
63032425042400500330
7123142062041655435
oct10737476062044136
91466277800668450
10314434300430430
1191208924342574
122b32358301a6a6
131065b047c9c57b
1457909b66ac11c
15265425759b0c0
hex11df9f0c8485e

314434300430430 has 48 divisors (see below), whose sum is σ = 820545894028224. Its totient is φ = 83539740329280.

The previous prime is 314434300430423. The next prime is 314434300430521. The reversal of 314434300430430 is 34034003434413.

314434300430430 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 343 + 0 + 0 + 4 + 304 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6445943229 + ... + 6445992008.

It is an arithmetic number, because the mean of its divisors is an integer number (17094706125588).

Almost surely, 2314434300430430 is an apocalyptic number.

314434300430430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

314434300430430 is an abundant number, since it is smaller than the sum of its proper divisors (506111593597794).

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

314434300430430 is a wasteful number, since it uses less digits than its factorization.

314434300430430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12891935521 (or 12891935518 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 314434300430430 its reverse (34034003434413), we get a palindrome (348468303864843).

The spelling of 314434300430430 in words is "three hundred fourteen trillion, four hundred thirty-four billion, three hundred million, four hundred thirty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 271 542 813 1355 1626 2439 2710 4065 4878 8130 12195 24390 12891935237 25783870474 38675805711 64459676185 77351611422 116027417133 128919352370 193379028555 232054834266 386758057110 580137085665 1160274171330 3493714449227 6987428898454 10481143347681 17468572246135 20962286695362 31443430043043 34937144492270 52405716738405 62886860086086 104811433476810 157217150215215 314434300430430