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145456263420 = 223513186482389
BaseRepresentation
bin1000011101110111011…
…1100111000011111100
3111220110002121210001120
42013131313213003330
54340343300412140
6150453252310540
713336353560556
oct2073567470374
9456402553046
10145456263420
11567622a5656
1224235012450
1310941101430
14707c13c4d6
153bb4c521d0
hex21ddde70fc

145456263420 has 48 divisors (see below), whose sum is σ = 438606581280. Its totient is φ = 35804618496.

The previous prime is 145456263419. The next prime is 145456263437. The reversal of 145456263420 is 24362654541.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93240415 + ... + 93241974.

It is an arithmetic number, because the mean of its divisors is an integer number (9137637110).

Almost surely, 2145456263420 is an apocalyptic number.

145456263420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145456263420 is an abundant number, since it is smaller than the sum of its proper divisors (293150317860).

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

145456263420 is a wasteful number, since it uses less digits than its factorization.

145456263420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186482414 (or 186482412 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 145456263420 in words is "one hundred forty-five billion, four hundred fifty-six million, two hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 186482389 372964778 559447167 745929556 932411945 1118894334 1864823890 2237788668 2424271057 2797235835 3729647780 4848542114 5594471670 7272813171 9697084228 11188943340 12121355285 14545626342 24242710570 29091252684 36364065855 48485421140 72728131710 145456263420