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145926943780 = 22561119612249
BaseRepresentation
bin1000011111100111101…
…1000111010000100100
3111221122220021211010111
42013321323013100210
54342324244200110
6151012104502404
713354130361532
oct2077173072044
9457586254114
10145926943780
1156983a56792
122434677aa04
13109b778c117
1470c4861152
153be1227e8a
hex21f9ec7424

145926943780 has 24 divisors (see below), whose sum is σ = 311470299000. Its totient is φ = 57413879040.

The previous prime is 145926943691. The next prime is 145926943781. The reversal of 145926943780 is 87349629541.

145926943780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3871826176 + 142055117604 = 62224^2 + 376902^2 .

It is not an unprimeable number, because it can be changed into a prime (145926943781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59804905 + ... + 59807344.

It is an arithmetic number, because the mean of its divisors is an integer number (12977929125).

It is a 1-persistent number, because it is pandigital, but 2⋅145926943780 = 291853887560 is not.

Almost surely, 2145926943780 is an apocalyptic number.

145926943780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145926943780 is an abundant number, since it is smaller than the sum of its proper divisors (165543355220).

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

145926943780 is a wasteful number, since it uses less digits than its factorization.

145926943780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119612319 (or 119612317 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 145926943780 in words is "one hundred forty-five billion, nine hundred twenty-six million, nine hundred forty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 119612249 239224498 478448996 598061245 1196122490 2392244980 7296347189 14592694378 29185388756 36481735945 72963471890 145926943780