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14332430242332 = 2233419316724791
BaseRepresentation
bin1101000010010000011101…
…1010011101001000011100
31212202011111201001222122000
43100210013122131020130
53334310304120223312
650252121052522300
73006324660653406
oct320440732351034
955664451058560
1014332430242332
114626393253a54
121735879a80390
137cc708791957
1437799c6abb76
1519cc45732adc
hexd090769d21c

14332430242332 has 48 divisors (see below), whose sum is σ = 37246835539200. Its totient is φ = 4766074639920.

The previous prime is 14332430242303. The next prime is 14332430242349. The reversal of 14332430242332 is 23324203423341.

14332430242332 is a `hidden beast` number, since 1 + 4 + 3 + 324 + 302 + 4 + 23 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158317144 + ... + 158407647.

It is an arithmetic number, because the mean of its divisors is an integer number (775975740400).

Almost surely, 214332430242332 is an apocalyptic number.

14332430242332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14332430242332 is an abundant number, since it is smaller than the sum of its proper divisors (22914405296868).

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

14332430242332 is a wasteful number, since it uses less digits than its factorization.

14332430242332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316725223 (or 316725215 counting only the distinct ones).

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

Adding to 14332430242332 its reverse (23324203423341), we get a palindrome (37656633665673).

The spelling of 14332430242332 in words is "fourteen trillion, three hundred thirty-two billion, four hundred thirty million, two hundred forty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 419 838 1257 1676 2514 3771 5028 7542 11313 15084 22626 45252 316724791 633449582 950174373 1266899164 1900348746 2850523119 3800697492 5701046238 8551569357 11402092476 17103138714 34206277428 132707687429 265415374858 398123062287 530830749716 796246124574 1194369186861 1592492249148 2388738373722 3583107560583 4777476747444 7166215121166 14332430242332