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149301466461 = 387192343173
BaseRepresentation
bin1000101100001100001…
…1111001010101011101
3112021101002001100000000
42023003003321111131
54421232133411321
6152331012324513
713533554345220
oct2130303712535
9467332040000
10149301466461
1158355870604
1224b28913739
13111049346c4
147324ab95b7
153d3c5eb826
hex22c30f955d

149301466461 has 288 divisors, whose sum is σ = 289315952640. Its totient is φ = 75076315776.

The previous prime is 149301466439. The next prime is 149301466477. The reversal of 149301466461 is 164664103941.

149301466461 is a `hidden beast` number, since 1 + 49 + 3 + 0 + 146 + 6 + 461 = 666.

149301466461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 149301466461 - 27 = 149301466333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149301466861) 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 287 ways as a sum of consecutive naturals, for example, 863014171 + ... + 863014343.

It is an arithmetic number, because the mean of its divisors is an integer number (1004569280).

Almost surely, 2149301466461 is an apocalyptic number.

It is an amenable number.

149301466461 is a deficient number, since it is larger than the sum of its proper divisors (140014486179).

149301466461 is an equidigital number, since it uses as much as digits as its factorization.

149301466461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 149301466461 in words is "one hundred forty-nine billion, three hundred one million, four hundred sixty-six thousand, four hundred sixty-one".