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330441242023400 = 23522713576088681
BaseRepresentation
bin100101100100010001101100…
…0110110011001010111101000
31121022222212121022100120122012
41023020203120312121113220
5321302422130424222100
63130442335543215052
7126413410010402504
oct11310433066312750
91538885538316565
10330441242023400
119631a38659a532
1231089887447488
131124c624650931
145b856274a1304
152830805aa5135
hex12c88d8d995e8

330441242023400 has 48 divisors (see below), whose sum is σ = 768278845122540. Its totient is φ = 132175988006400.

The previous prime is 330441242023379. The next prime is 330441242023433. The reversal of 330441242023400 is 4320242144033.

It can be written as a sum of positive squares in 6 ways, for example, as 159045543478276 + 171395698545124 = 12611326^2 + 13091818^2 .

It is a super-2 number, since 2×3304412420234002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51227060 + ... + 57315740.

Almost surely, 2330441242023400 is an apocalyptic number.

It is an amenable number.

330441242023400 is an abundant number, since it is smaller than the sum of its proper divisors (437837603099140).

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

330441242023400 is a wasteful number, since it uses less digits than its factorization.

330441242023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6360054 (or 6360045 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 330441242023400 its reverse (4320242144033), we get a palindrome (334761484167433).

The spelling of 330441242023400 in words is "three hundred thirty trillion, four hundred forty-one billion, two hundred forty-two million, twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 271357 542714 1085428 1356785 2170856 2713570 5427140 6088681 6783925 10854280 12177362 13567850 24354724 27135700 30443405 48709448 54271400 60886810 121773620 152217025 243547240 304434050 608868100 1217736200 1652206210117 3304412420234 6608824840468 8261031050585 13217649680936 16522062101170 33044124202340 41305155252925 66088248404680 82610310505850 165220621011700 330441242023400