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140414212401400 = 23527711412617831
BaseRepresentation
bin11111111011010010111011…
…010000000110100011111000
3200102011110121212221201010001
4133323102323100012203320
5121401021301333321100
61214345222040202344
741401410036433510
oct3773227320064370
9612143555851101
10140414212401400
1140816373345123
12138b926b7693b4
1360470076677c2
142696126c56840
1511377689c1d6a
hex7fb4bb4068f8

140414212401400 has 96 divisors (see below), whose sum is σ = 378355560122880. Its totient is φ = 47463959088000.

The previous prime is 140414212401383. The next prime is 140414212401401. The reversal of 140414212401400 is 4104212414041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140414212401401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 706209516 + ... + 706408315.

It is an arithmetic number, because the mean of its divisors is an integer number (3941203751280).

Almost surely, 2140414212401400 is an apocalyptic number.

140414212401400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140414212401400 is an abundant number, since it is smaller than the sum of its proper divisors (237941347721480).

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

140414212401400 is a wasteful number, since it uses less digits than its factorization.

140414212401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412617925 (or 1412617916 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 140414212401400 its reverse (4104212414041), we get a palindrome (144518424815441).

The spelling of 140414212401400 in words is "one hundred forty trillion, four hundred fourteen billion, two hundred twelve million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 71 100 140 142 175 200 280 284 350 355 497 568 700 710 994 1400 1420 1775 1988 2485 2840 3550 3976 4970 7100 9940 12425 14200 19880 24850 49700 99400 1412617831 2825235662 5650471324 7063089155 9888324817 11300942648 14126178310 19776649634 28252356620 35315445775 39553299268 49441624085 56504713240 70630891550 79106598536 98883248170 100295866001 141261783100 197766496340 200591732002 247208120425 282523566200 395532992680 401183464004 494416240850 501479330005 702071062007 802366928008 988832481700 1002958660010 1404142124014 1977664963400 2005917320020 2507396650025 2808284248028 3510355310035 4011834640040 5014793300050 5616568496056 7020710620070 10029586600100 14041421240140 17551776550175 20059173200200 28082842480280 35103553100350 70207106200700 140414212401400