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140414442211400 = 23527195278738429
BaseRepresentation
bin11111111011010011001000…
…111100110000100001001000
3200102011111012220101021011112
4133323103020330300201020
5121401022234201231100
61214345300525545452
741401415526665510
oct3773231074604110
9612144186337145
10140414442211400
1140816481038845
12138b9314715288
13604704315b456
142696149598840
15113777dc68b35
hex7fb4c8f30848

140414442211400 has 96 divisors (see below), whose sum is σ = 392738139192000. Its totient is φ = 45608300017920.

The previous prime is 140414442211399. The next prime is 140414442211411. The reversal of 140414442211400 is 4112244414041.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2639342615 + ... + 2639395814.

It is an arithmetic number, because the mean of its divisors is an integer number (4091022283250).

Almost surely, 2140414442211400 is an apocalyptic number.

140414442211400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414442211400 is an abundant number, since it is smaller than the sum of its proper divisors (252323696980600).

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

140414442211400 is a wasteful number, since it uses less digits than its factorization.

140414442211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278738471 (or 5278738462 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 140414442211400 its reverse (4112244414041), we get a palindrome (144526686625441).

The spelling of 140414442211400 in words is "one hundred forty trillion, four hundred fourteen billion, four hundred forty-two million, two hundred eleven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 380 475 532 665 700 760 950 1064 1330 1400 1900 2660 3325 3800 5320 6650 13300 26600 5278738429 10557476858 21114953716 26393692145 36951169003 42229907432 52787384290 73902338006 100296030151 105574768580 131968460725 147804676012 184755845015 200592060302 211149537160 263936921450 295609352024 369511690030 401184120604 501480150755 527873842900 702072211057 739023380060 802368241208 923779225075 1002960301510 1055747685800 1404144422114 1478046760120 1847558450150 2005920603020 2507400753775 2808288844228 3510361055285 3695116900300 4011841206040 5014801507550 5616577688456 7020722110570 7390233800600 10029603015100 14041444221140 17551805276425 20059206030200 28082888442280 35103610552850 70207221105700 140414442211400