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144791430 = 23576189127
BaseRepresentation
bin10001010000101…
…01011110000110
3101002110011111120
420220111132012
5244031311210
622211214410
73405464310
oct1050253606
9332404446
10144791430
1174804a43
12405a7406
1323cc7204
14153307b0
15caa1270
hex8a15786

144791430 has 128 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 31933440.

The previous prime is 144791411. The next prime is 144791453. The reversal of 144791430 is 34197441.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144791391 and 144791400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1140027 + ... + 1140153.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2144791430 is an apocalyptic number.

144791430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144791430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

144791430 is an abundant number, since it is smaller than the sum of its proper divisors (266610810).

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

144791430 is a wasteful number, since it uses less digits than its factorization.

144791430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 144791430 is about 12032.9310643750. The cubic root of 144791430 is about 525.1067719346.

The spelling of 144791430 in words is "one hundred forty-four million, seven hundred ninety-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 89 105 122 127 178 183 210 254 267 305 366 381 427 445 534 610 623 635 762 854 889 890 915 1246 1270 1281 1335 1778 1830 1869 1905 2135 2562 2667 2670 3115 3738 3810 4270 4445 5334 5429 6230 6405 7747 8890 9345 10858 11303 12810 13335 15494 16287 18690 22606 23241 26670 27145 32574 33909 38003 38735 46482 54229 54290 56515 67818 76006 77470 79121 81435 108458 113030 114009 116205 158242 162687 162870 169545 190015 228018 232410 237363 271145 325374 339090 380030 395605 474726 542290 570045 689483 791210 813435 1140090 1186815 1378966 1626870 2068449 2373630 3447415 4136898 4826381 6894830 9652762 10342245 14479143 20684490 24131905 28958286 48263810 72395715 144791430