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140214422314400 = 25527191317804721
BaseRepresentation
bin11111111000011000110110…
…110101011001110110100000
3200101110100221011122201010012
4133320120312311121312200
5121334233114103030100
61214113341045224052
741351105044631660
oct3770306665316640
9611410834581105
10140214422314400
114074966a017745
12138865b2402028
136031217993a05
14268a5b29b81a0
151132473bb4135
hex7f8636d59da0

140214422314400 has 144 divisors (see below), whose sum is σ = 411787619530560. Its totient is φ = 45543331123200.

The previous prime is 140214422314391. The next prime is 140214422314411. The reversal of 140214422314400 is 4413224412041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 658795961 + ... + 659008760.

It is an arithmetic number, because the mean of its divisors is an integer number (2859636246740).

Almost surely, 2140214422314400 is an apocalyptic number.

140214422314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140214422314400 is an abundant number, since it is smaller than the sum of its proper divisors (271573197216160).

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

140214422314400 is a wasteful number, since it uses less digits than its factorization.

140214422314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317804767 (or 1317804754 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 140214422314400 its reverse (4413224412041), we get a palindrome (144627646726441).

The spelling of 140214422314400 in words is "one hundred forty trillion, two hundred fourteen billion, four hundred twenty-two million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 50 56 70 76 80 95 100 112 133 140 152 160 175 190 200 224 266 280 304 350 380 400 475 532 560 608 665 700 760 800 950 1064 1120 1330 1400 1520 1900 2128 2660 2800 3040 3325 3800 4256 5320 5600 6650 7600 10640 13300 15200 21280 26600 53200 106400 1317804721 2635609442 5271218884 6589023605 9224633047 10542437768 13178047210 18449266094 21084875536 25038289699 26356094420 32945118025 36898532188 42169751072 46123165235 50076579398 52712188840 65890236050 73797064376 92246330470 100153158796 105424377680 125191448495 131780472100 147594128752 175268027893 184492660940 200306317592 210848755360 230615826175 250382896990 263560944200 295188257504 350536055786 368985321880 400612635184 461231652350 500765793980 527121888400 625957242475 701072111572 737970643760 801225270368 876340139465 922463304700 1001531587960 1054243776800 1251914484950 1402144223144 1475941287520 1752680278930 1844926609400 2003063175920 2503828969900 2804288446288 3505360557860 3689853218800 4006126351840 4381700697325 5007657939800 5608576892576 7010721115720 7379706437600 8763401394650 10015315879600 14021442231440 17526802789300 20030631759200 28042884462880 35053605578600 70107211157200 140214422314400