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141200398023912 = 23331755137246057
BaseRepresentation
bin100000000110101111000111…
…100100001111110011101000
3200111221121220111220100202000
4200012233013210033303220
5122001411403343231122
61220150322314411000
741512251331113513
oct4006570744176350
9614847814810660
10141200398023912
1140a99830663617
1213a056bb730a60
1360a31a95c73c6
1426c21c8623d7a
15114ce2e0ea0ac
hex806bc790fce8

141200398023912 has 64 divisors (see below), whose sum is σ = 392245686009600. Its totient is φ = 47064116361600.

The previous prime is 141200398023857. The next prime is 141200398023917. The reversal of 141200398023912 is 219320893002141.

141200398023912 is a `hidden beast` number, since 1 + 4 + 1 + 20 + 0 + 398 + 0 + 239 + 1 + 2 = 666.

141200398023912 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1412003980239122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141200398023917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14832013 + ... + 22414044.

It is an arithmetic number, because the mean of its divisors is an integer number (6128838843900).

Almost surely, 2141200398023912 is an apocalyptic number.

141200398023912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141200398023912 is an abundant number, since it is smaller than the sum of its proper divisors (251045287985688).

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

141200398023912 is a wasteful number, since it uses less digits than its factorization.

141200398023912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37263623 (or 37263613 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 141200398023912 in words is "one hundred forty-one trillion, two hundred billion, three hundred ninety-eight million, twenty-three thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 17551 35102 52653 70204 105306 140408 157959 210612 315918 421224 473877 631836 947754 1263672 1895508 3791016 37246057 74492114 111738171 148984228 223476342 297968456 335214513 446952684 670429026 893905368 1005643539 1340858052 2011287078 2681716104 4022574156 8045148312 653705546407 1307411092814 1961116639221 2614822185628 3922233278442 5229644371256 5883349917663 7844466556884 11766699835326 15688933113768 17650049752989 23533399670652 35300099505978 47066799341304 70600199011956 141200398023912