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14020331101002 = 23229241359310439
BaseRepresentation
bin1100110000000101110011…
…0110101101101101001010
31211122022220222110220012100
43030001130312231231022
53314202114230213002
645452503505054230
72644635606016362
oct314013466555512
954568828426170
1014020331101002
114515a974407a6
1216a5298627376
137a915b0c8825
143668327019a2
15194a7ac6d11c
hexcc05cdadb4a

14020331101002 has 96 divisors (see below), whose sum is σ = 31643273376000. Its totient is φ = 4481035937280.

The previous prime is 14020331100967. The next prime is 14020331101019. The reversal of 14020331101002 is 20010113302041.

14020331101002 is a `hidden beast` number, since 140 + 203 + 311 + 0 + 10 + 0 + 2 = 666.

14020331101002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45007699 + ... + 45318137.

It is an arithmetic number, because the mean of its divisors is an integer number (329617431000).

Almost surely, 214020331101002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14020331101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821636688000).

14020331101002 is an abundant number, since it is smaller than the sum of its proper divisors (17622942274998).

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

14020331101002 is a wasteful number, since it uses less digits than its factorization.

14020331101002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311076 (or 311073 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14020331101002 its reverse (20010113302041), we get a palindrome (34030444403043).

The spelling of 14020331101002 in words is "fourteen trillion, twenty billion, three hundred thirty-one million, one hundred one thousand, two".

Divisors: 1 2 3 6 9 18 29 58 87 174 241 261 359 482 522 718 723 1077 1446 2154 2169 3231 4338 6462 6989 10411 13978 20822 20967 31233 41934 62466 62901 86519 93699 125802 173038 187398 259557 310439 519114 620878 778671 931317 1557342 1862634 2509051 2793951 5018102 5587902 7527153 9002731 15054306 18005462 22581459 27008193 45162918 54016386 74815799 81024579 111447601 149631598 162049158 222895202 224447397 334342803 448894794 668685606 673342191 1003028409 1346684382 2006056818 2169658171 3231980429 4339316342 6463960858 6508974513 9695941287 13017949026 19391882574 19526923539 26858871841 29087823861 39053847078 53717743682 58175647722 80576615523 161153231046 241729846569 483459693138 778907283389 1557814566778 2336721850167 4673443700334 7010165550501 14020331101002