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146732246440 = 23513282177397
BaseRepresentation
bin1000100010100111101…
…1000110010110101000
3112000202000121102200221
42020221323012112220
54401001423341230
6151224033135424
713413106341643
oct2105173062650
9460660542627
10146732246440
115725758957a
12245303ba574
1310ab557a780
14715d7aaa5a
153c3bc9b27a
hex2229ec65a8

146732246440 has 32 divisors (see below), whose sum is σ = 355543521480. Its totient is φ = 54178060032.

The previous prime is 146732246407. The next prime is 146732246471. The reversal of 146732246440 is 44642237641.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 130915159684 + 15817086756 = 361822^2 + 125766^2 .

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, 141088179 + ... + 141089218.

Almost surely, 2146732246440 is an apocalyptic number.

146732246440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146732246440 is an abundant number, since it is smaller than the sum of its proper divisors (208811275040).

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

146732246440 is a wasteful number, since it uses less digits than its factorization.

146732246440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282177421 (or 282177417 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 43.

The spelling of 146732246440 in words is "one hundred forty-six billion, seven hundred thirty-two million, two hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 282177397 564354794 1128709588 1410886985 2257419176 2821773970 3668306161 5643547940 7336612322 11287095880 14673224644 18341530805 29346449288 36683061610 73366123220 146732246440