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146724742044 = 223226871516817
BaseRepresentation
bin1000100010100101111…
…0011110001110011100
3112000201111111011121100
42020221132132032130
54400443013221134
6151223204233100
713412655505146
oct2105136361634
9460644434540
10146724742044
11572533233a1
122452999b790
1310ab3b50aba
14715c7b5c96
153c3b2b7999
hex222979e39c

146724742044 has 36 divisors (see below), whose sum is σ = 371025817344. Its totient is φ = 48890013312.

The previous prime is 146724742033. The next prime is 146724742049. The reversal of 146724742044 is 440247427641.

146724742044 is a `hidden beast` number, since 146 + 7 + 2 + 47 + 420 + 44 = 666.

146724742044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146724742049) 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 11 ways as a sum of consecutive naturals, for example, 661677 + ... + 855140.

It is an arithmetic number, because the mean of its divisors is an integer number (10306272704).

Almost surely, 2146724742044 is an apocalyptic number.

It is an amenable number.

146724742044 is an abundant number, since it is smaller than the sum of its proper divisors (224301075300).

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

146724742044 is a wasteful number, since it uses less digits than its factorization.

146724742044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519514 (or 1519509 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 146724742044 in words is "one hundred forty-six billion, seven hundred twenty-four million, seven hundred forty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2687 5374 8061 10748 16122 24183 32244 48366 96732 1516817 3033634 4550451 6067268 9100902 13651353 18201804 27302706 54605412 4075687279 8151374558 12227061837 16302749116 24454123674 36681185511 48908247348 73362371022 146724742044