Search a number
-
+
14003023404032 = 210132414364771
BaseRepresentation
bin1100101111000101010100…
…1111000101110000000000
31211120200020202222210101122
43023301111033011300000
53313411142442412112
645440522233051412
72643453655020425
oct313612517056000
954520222883348
1014003023404032
114509715720903
1216a1a68256b68
137a7630441110
14365a6dc07d4c
151943b6566872
hexcbc553c5c00

14003023404032 has 88 divisors (see below), whose sum is σ = 30270723906192. Its totient is φ = 6436115251200.

The previous prime is 14003023403933. The next prime is 14003023404047. The reversal of 14003023404032 is 23040432030041.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 14003023403992 and 14003023404010.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1025807 + ... + 5390577.

It is an arithmetic number, because the mean of its divisors is an integer number (343985498934).

Almost surely, 214003023404032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14003023404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135361953096).

14003023404032 is an abundant number, since it is smaller than the sum of its proper divisors (16267700502160).

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

14003023404032 is a wasteful number, since it uses less digits than its factorization.

14003023404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365045 (or 4365027 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 14003023404032 its reverse (23040432030041), we get a palindrome (37043455434073).

The spelling of 14003023404032 in words is "fourteen trillion, three billion, twenty-three million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 241 256 416 482 512 832 964 1024 1664 1928 3133 3328 3856 6266 6656 7712 12532 13312 15424 25064 30848 50128 61696 100256 123392 200512 246784 401024 802048 1604096 3208192 4364771 8729542 17459084 34918168 56742023 69836336 113484046 139672672 226968092 279345344 453936184 558690688 907872368 1051909811 1117381376 1815744736 2103819622 2234762752 3631489472 4207639244 4469525504 7262978944 8415278488 13674827543 14525957888 16830556976 27349655086 29051915776 33661113952 54699310172 58103831552 67322227904 109398620344 134644455808 218797240688 269288911616 437594481376 538577823232 875188962752 1077155646464 1750377925504 3500755851008 7001511702016 14003023404032