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146260321640 = 23516553220897
BaseRepresentation
bin1000100000110111001…
…0110110010101101000
3111222112010121011120122
42020031302312111220
54344020120243030
6151105134142412
713365316135616
oct2101562662550
9458463534518
10146260321640
1157035158484
122441a351a08
1310a3b875524
147116c426b6
153c1062b8e5
hex220dcb6568

146260321640 has 32 divisors (see below), whose sum is σ = 329107094280. Its totient is φ = 58500329472.

The previous prime is 146260321579. The next prime is 146260321703. The reversal of 146260321640 is 46123062641.

It can be written as a sum of positive squares in 4 ways, for example, as 124703621956 + 21556699684 = 353134^2 + 146822^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146260321640.

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 7 ways as a sum of consecutive naturals, for example, 551672 + ... + 772568.

Almost surely, 2146260321640 is an apocalyptic number.

146260321640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146260321640 is an abundant number, since it is smaller than the sum of its proper divisors (182846772640).

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

146260321640 is a wasteful number, since it uses less digits than its factorization.

146260321640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237461 (or 237457 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 146260321640 in words is "one hundred forty-six billion, two hundred sixty million, three hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 16553 33106 66212 82765 132424 165530 220897 331060 441794 662120 883588 1104485 1767176 2208970 4417940 8835880 3656508041 7313016082 14626032164 18282540205 29252064328 36565080410 73130160820 146260321640