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1434131012000 = 2553438337971
BaseRepresentation
bin10100110111101000110…
…111101001100110100000
312002002202001111211222102
4110313220313221212200
5141444100014341000
63014455232425532
7205420050316451
oct24675067514640
95062661454872
101434131012000
11503236628825
121b1b3b6a82a8
13a5312aa196b
144d5ab54d128
152748978c3d5
hex14de8de99a0

1434131012000 has 96 divisors (see below), whose sum is σ = 3605605907904. Its totient is φ = 560311584000.

The previous prime is 1434131011991. The next prime is 1434131012009. The reversal of 1434131012000 is 2101314341.

It is an interprime number because it is at equal distance from previous prime (1434131011991) and next prime (1434131012009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1434131012009) 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, 3996986 + ... + 4340985.

It is an arithmetic number, because the mean of its divisors is an integer number (37558394874).

Almost surely, 21434131012000 is an apocalyptic number.

1434131012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434131012000 is an abundant number, since it is smaller than the sum of its proper divisors (2171474895904).

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

1434131012000 is an equidigital number, since it uses as much as digits as its factorization.

1434131012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8338039 (or 8338021 counting only the distinct ones).

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

Adding to 1434131012000 its reverse (2101314341), we get a palindrome (1436232326341).

The spelling of 1434131012000 in words is "one trillion, four hundred thirty-four billion, one hundred thirty-one million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 86000 172000 8337971 16675942 33351884 41689855 66703768 83379710 133407536 166759420 208449275 266815072 333518840 358532753 416898550 667037680 717065506 833797100 1042246375 1334075360 1434131012 1667594200 1792663765 2084492750 2868262024 3335188400 3585327530 4168985500 5736524048 6670376800 7170655060 8337971000 8963318825 11473048096 14341310120 16675942000 17926637650 28682620240 33351884000 35853275300 44816594125 57365240480 71706550600 89633188250 143413101200 179266376500 286826202400 358532753000 717065506000 1434131012000