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334440452431230 = 2353137101362326561
BaseRepresentation
bin100110000001010111111110…
…0010111011001110101111110
31121212011012021011021211201220
41030002233330113121311332
5322313433021310244410
63143143453421414210
7130305345120110625
oct11402577427316576
91555135234254656
10334440452431230
1197621443609892
1231614972a0a366
131147c7a399b862
145c8300b9c46bc
15289e86c592070
hex1302bfc5d9d7e

334440452431230 has 256 divisors, whose sum is σ = 859637207089152. Its totient is φ = 83117076480000.

The previous prime is 334440452431219. The next prime is 334440452431237. The reversal of 334440452431230 is 32134254044433.

It is a super-2 number, since 2×3344404524312302 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334440452431237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12591397150 + ... + 12591423710.

It is an arithmetic number, because the mean of its divisors is an integer number (3357957840192).

Almost surely, 2334440452431230 is an apocalyptic number.

334440452431230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334440452431230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429818603544576).

334440452431230 is an abundant number, since it is smaller than the sum of its proper divisors (525196754657922).

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

334440452431230 is a wasteful number, since it uses less digits than its factorization.

334440452431230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30363.

The product of its (nonzero) digits is 1658880, while the sum is 42.

The spelling of 334440452431230 in words is "three hundred thirty-four trillion, four hundred forty billion, four hundred fifty-two million, four hundred thirty-one thousand, two hundred thirty".