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141110013312 = 2732294223839
BaseRepresentation
bin1000001101101011001…
…1111110110110000000
3111111020012101101202100
42003122303332312000
54302443130411222
6144454113150400
713123560215502
oct2033263766600
9444205341670
10141110013312
1154931a18614
122342155b400
13103ca83a5c8
146b88c15d72
153a0d3d44ac
hex20dacfed80

141110013312 has 96 divisors (see below), whose sum is σ = 420060888000. Its totient is φ = 45414706176.

The previous prime is 141110013311. The next prime is 141110013337. The reversal of 141110013312 is 213310011141.

It is a happy number.

141110013312 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141110013311) 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, 2078512 + ... + 2145327.

It is an arithmetic number, because the mean of its divisors is an integer number (4375634250).

Almost surely, 2141110013312 is an apocalyptic number.

141110013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141110013312 is an abundant number, since it is smaller than the sum of its proper divisors (278950874688).

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

141110013312 is a wasteful number, since it uses less digits than its factorization.

141110013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223888 (or 4223873 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 141110013312 its reverse (213310011141), we get a palindrome (354420024453).

The spelling of 141110013312 in words is "one hundred forty-one billion, one hundred ten million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 4223839 8447678 12671517 16895356 25343034 33790712 38014551 50686068 67581424 76029102 101372136 122491331 135162848 152058204 202744272 244982662 270325696 304116408 367473993 405488544 489965324 540651392 608232816 734947986 810977088 979930648 1102421979 1216465632 1469895972 1621954176 1959861296 2204843958 2432931264 2939791944 3919722592 4409687916 4865862528 5879583888 7839445184 8819375832 11759167776 15678890368 17638751664 23518335552 35277503328 47036671104 70555006656 141110013312