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149391641307601 = 7113188370878281
BaseRepresentation
bin100001111101111011110011…
…101101100110100111010001
3201120221200221100021011120101
4201331323303231212213101
5124040113040133320401
61245421323402012401
743316122065165640
oct4175736355464721
9646850840234511
10149391641307601
1143667703982420
12149091264a7101
13654875728aa94
1428c6845dbb357
151241045862101
hex87def3b669d1

149391641307601 has 32 divisors (see below), whose sum is σ = 192480464756736. Its totient is φ = 112526357328000.

The previous prime is 149391641307599. The next prime is 149391641307607. The reversal of 149391641307601 is 106703146193941.

It is not a de Polignac number, because 149391641307601 - 21 = 149391641307599 is a prime.

It is a super-2 number, since 2×1493916413076012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149391641307607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33331420 + ... + 37546861.

It is an arithmetic number, because the mean of its divisors is an integer number (6015014523648).

Almost surely, 2149391641307601 is an apocalyptic number.

149391641307601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

149391641307601 is a deficient number, since it is larger than the sum of its proper divisors (43088823449135).

149391641307601 is a wasteful number, since it uses less digits than its factorization.

149391641307601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70879213.

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 149391641307601 in words is "one hundred forty-nine trillion, three hundred ninety-one billion, six hundred forty-one million, three hundred seven thousand, six hundred one".

Divisors: 1 7 11 31 77 217 341 883 2387 6181 9713 27373 67991 191611 301103 2107721 70878281 496147967 779661091 2197226711 5457627637 15380586977 24169493821 62585522123 169186456747 438098654861 688440743353 1940151185813 4819085203471 13581058300691 21341663043943 149391641307601