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145238734404 = 223219233432
BaseRepresentation
bin1000011101000011100…
…1110011011001000100
3111212212221022011100100
42013100321303121010
54334422104000104
6150415522044100
713331102605311
oct2072071633104
9455787264310
10145238734404
115666052a905
12241941a9630
131090801a63a
14705b2b5d08
153ba0ad4139
hex21d0e73644

145238734404 has 81 divisors (see below), whose sum is σ = 387586866303. Its totient is φ = 45851143824.

The previous prime is 145238734393. The next prime is 145238734411. The reversal of 145238734404 is 404437832541.

The square root of 145238734404 is 381102.

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

145238734404 is a `hidden beast` number, since 1 + 4 + 5 + 238 + 7 + 3 + 4 + 404 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 145238734404.

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 26 ways as a sum of consecutive naturals, for example, 43443957 + ... + 43447299.

Almost surely, 2145238734404 is an apocalyptic number.

145238734404 is the 381102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145238734404

145238734404 is an abundant number, since it is smaller than the sum of its proper divisors (242348131899).

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

145238734404 is an equidigital number, since it uses as much as digits as its factorization.

145238734404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6734 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 145238734404 in words is "one hundred forty-five billion, two hundred thirty-eight million, seven hundred thirty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 361 684 722 1083 1444 2166 3249 3343 4332 6498 6686 10029 12996 13372 20058 30087 40116 60174 63517 120348 127034 190551 254068 381102 571653 762204 1143306 1206823 2286612 2413646 3620469 4827292 7240938 10861407 11175649 14481876 21722814 22351298 33526947 43445628 44702596 67053894 100580841 134107788 201161682 212337331 402323364 424674662 637011993 849349324 1274023986 1911035979 2548047972 3822071958 4034409289 7644143916 8068818578 12103227867 16137637156 24206455734 36309683601 48412911468 72619367202 145238734404