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31430000014112 = 2572335291728689
BaseRepresentation
bin1110010010101110111011…
…11111000111001100100000
311010021200022202000011200202
413021113131333013030200
513104422120000422422
6150502424230204332
76422512462064240
oct711273577071440
9133250282004622
1031430000014112
11a01842a6a1a37
1236374174b36a8
13146cab441475b
147a9312005b20
15397876a66b92
hex1c95ddfc7320

31430000014112 has 96 divisors (see below), whose sum is σ = 73813126867200. Its totient is φ = 12880689389568.

The previous prime is 31430000014111. The next prime is 31430000014129. The reversal of 31430000014112 is 21141000003413.

It is not an unprimeable number, because it can be changed into a prime (31430000014111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17317064 + ... + 19045752.

It is an arithmetic number, because the mean of its divisors is an integer number (768886738200).

Almost surely, 231430000014112 is an apocalyptic number.

31430000014112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31430000014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36906563433600).

31430000014112 is an abundant number, since it is smaller than the sum of its proper divisors (42383126853088).

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

31430000014112 is a wasteful number, since it uses less digits than its factorization.

31430000014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732258 (or 1732250 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31430000014112 its reverse (21141000003413), we get a palindrome (52571000017525).

The spelling of 31430000014112 in words is "thirty-one trillion, four hundred thirty billion, fourteen thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 3529 5152 7058 14116 24703 28232 49406 56464 81167 98812 112928 162334 197624 324668 395248 568169 649336 790496 1136338 1298672 1728689 2272676 2597344 3457378 4545352 6914756 9090704 12100823 13829512 18181408 24201646 27659024 39759847 48403292 55318048 79519694 96806584 159039388 193613168 278318929 318078776 387226336 556637858 636157552 1113275716 1272315104 2226551432 4453102864 6100543481 8906205728 12201086962 24402173924 42703804367 48804347848 85407608734 97608695696 140312500063 170815217468 195217391392 280625000126 341630434936 561250000252 683260869872 982187500441 1122500000504 1366521739744 1964375000882 2245000001008 3928750001764 4490000002016 7857500003528 15715000007056 31430000014112