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14041420001000 = 235372243894301
BaseRepresentation
bin1100110001010100010111…
…0110011110111011101000
31211201100100200222000102122
43030111011312132323220
53320023312010013000
645510312253250412
72646313322506010
oct314250566367350
954640320860378
1014041420001000
114523a29593477
1216a93a3193a08
137ab13c268992
14367873476c40
151953b23cb085
hexcc545d9eee8

14041420001000 has 128 divisors (see below), whose sum is σ = 37567552239360. Its totient is φ = 4812049440000.

The previous prime is 14041420000973. The next prime is 14041420001069. The reversal of 14041420001000 is 10002414041.

It is a super-2 number, since 2×140414200010002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14041420001000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15253850 + ... + 16148150.

It is an arithmetic number, because the mean of its divisors is an integer number (293496501870).

Almost surely, 214041420001000 is an apocalyptic number.

14041420001000 is a gapful number since it is divisible by the number (10) 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 14041420001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18783776119680).

14041420001000 is an abundant number, since it is smaller than the sum of its proper divisors (23526132238360).

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

14041420001000 is a wasteful number, since it uses less digits than its factorization.

14041420001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896572 (or 896558 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 14041420001000 its reverse (10002414041), we get a palindrome (14051422415041).

The spelling of 14041420001000 in words is "fourteen trillion, forty-one billion, four hundred twenty million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2243 3500 4486 7000 8972 11215 15701 17944 22430 31402 44860 56075 62804 78505 89720 112150 125608 157010 224300 280375 314020 392525 448600 560750 628040 785050 894301 1121500 1570100 1788602 1962625 2243000 3140200 3577204 3925250 4471505 6260107 7154408 7850500 8943010 12520214 15701000 17886020 22357525 25040428 31300535 35772040 44715050 50080856 62601070 89430100 111787625 125202140 156502675 178860200 223575250 250404280 313005350 447150500 626010700 782513375 894301000 1252021400 1565026750 2005917143 3130053500 4011834286 6260107000 8023668572 10029585715 14041420001 16047337144 20059171430 28082840002 40118342860 50147928575 56165680004 70207100005 80236685720 100295857150 112331360008 140414200010 200591714300 250739642875 280828400020 351035500025 401183428600 501479285750 561656800040 702071000050 1002958571500 1404142000100 1755177500125 2005917143000 2808284000200 3510355000250 7020710000500 14041420001000