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143921596900 = 22525926432
BaseRepresentation
bin1000011000001001100…
…1010100100111100100
3111202111010212122100211
42012002121110213210
54324222412100100
6150041111145204
713253340250264
oct2060231244744
9452433778324
10143921596900
1156044a97a14
1223a87075204
1310758192133
146d743b37a4
153b2515b1ba
hex21826549e4

143921596900 has 81 divisors (see below), whose sum is σ = 318187818921. Its totient is φ = 56504885280.

The previous prime is 143921596873. The next prime is 143921596957. The reversal of 143921596900 is 9695129341.

The square root of 143921596900 is 379370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 51811774884 + 92109822016 = 227622^2 + 303496^2 .

It is a super-2 number, since 2×1439215969002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 223827979 + ... + 223828621.

Almost surely, 2143921596900 is an apocalyptic number.

143921596900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

143921596900 is the 379370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143921596900

143921596900 is an abundant number, since it is smaller than the sum of its proper divisors (174266222021).

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

143921596900 is an frugal number, since it uses more digits than its factorization.

143921596900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

Multiplying 143921596900 by its sum of digits (49), we get a square (7052158248100 = 26555902).

The spelling of 143921596900 in words is "one hundred forty-three billion, nine hundred twenty-one million, five hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 643 1180 1286 1475 2572 2950 3215 3481 5900 6430 6962 12860 13924 16075 17405 32150 34810 37937 64300 69620 75874 87025 151748 174050 189685 348100 379370 413449 758740 826898 948425 1653796 1896850 2067245 2238283 3793700 4134490 4476566 8268980 8953132 10336225 11191415 20672450 22382830 24393491 41344900 44765660 48786982 55957075 97573964 111914150 121967455 223828300 243934910 487869820 609837275 1219674550 1439215969 2439349100 2878431938 5756863876 7196079845 14392159690 28784319380 35980399225 71960798450 143921596900