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144324600680 = 235132313531951
BaseRepresentation
bin1000011001101001101…
…0101010001101101000
3111210112020012100121202
42012122122222031220
54331034044210210
6150145105023332
713266332602361
oct2063232521550
9453466170552
10144324600680
1156231524697
1223b7a024b48
13107c0815a00
146db1b1ab68
153b4a7149a5
hex219a6aa368

144324600680 has 192 divisors, whose sum is σ = 364188856320. Its totient is φ = 51397632000.

The previous prime is 144324600619. The next prime is 144324600727. The reversal of 144324600680 is 86006423441.

It is a super-2 number, since 2×1443246006802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73973705 + ... + 73975655.

It is an arithmetic number, because the mean of its divisors is an integer number (1896816960).

Almost surely, 2144324600680 is an apocalyptic number.

144324600680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144324600680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182094428160).

144324600680 is an abundant number, since it is smaller than the sum of its proper divisors (219864255640).

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

144324600680 is a wasteful number, since it uses less digits than its factorization.

144324600680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 144324600680 in words is "one hundred forty-four billion, three hundred twenty-four million, six hundred thousand, six hundred eighty".