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147424145900 = 225210943930809
BaseRepresentation
bin1000100101001100101…
…0011111000111101100
3112002112020112120022212
42021103022133013230
54403411040132100
6151420431025552
713436210364353
oct2112312370754
9462466476285
10147424145900
11575820a5909
12246a406b2b8
1310b95a11a35
1471c763699a
153c7c8bd635
hex225329f1ec

147424145900 has 72 divisors (see below), whose sum is σ = 323591268000. Its totient is φ = 58293665280.

The previous prime is 147424145899. The next prime is 147424145959. The reversal of 147424145900 is 9541424741.

147424145900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 4769696 + ... + 4800504.

Almost surely, 2147424145900 is an apocalyptic number.

147424145900 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 147424145900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161795634000).

147424145900 is an abundant number, since it is smaller than the sum of its proper divisors (176167122100).

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

147424145900 is a wasteful number, since it uses less digits than its factorization.

147424145900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31371 (or 31364 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 147424145900 in words is "one hundred forty-seven billion, four hundred twenty-four million, one hundred forty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 439 545 878 1090 1756 2180 2195 2725 4390 5450 8780 10900 10975 21950 30809 43900 47851 61618 95702 123236 154045 191404 239255 308090 478510 616180 770225 957020 1196275 1540450 2392550 3080900 3358181 4785100 6716362 13432724 13525151 16790905 27050302 33581810 54100604 67163620 67625755 83954525 135251510 167909050 270503020 335818100 338128775 676257550 1352515100 1474241459 2948482918 5896965836 7371207295 14742414590 29484829180 36856036475 73712072950 147424145900