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140120231114000 = 24531917627209189
BaseRepresentation
bin11111110111000001001000…
…100110011111010100010000
3200101010100210211021221220102
4133313001020212133110100
5121331212213131122000
61214002202345031532
741341231643634164
oct3767011046372420
9611110724257812
10140120231114000
114071272459a775
12138702a5a855a8
1360253867570c7
142685bd91d4ca4
15112ecae8e53d5
hex7f704899f510

140120231114000 has 160 divisors (see below), whose sum is σ = 356664799670400. Its totient is φ = 53094926707200.

The previous prime is 140120231113997. The next prime is 140120231114009. The reversal of 140120231114000 is 411132021041.

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 (140120231114009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 669721406 + ... + 669930594.

It is an arithmetic number, because the mean of its divisors is an integer number (2229154997940).

Almost surely, 2140120231114000 is an apocalyptic number.

140120231114000 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 140120231114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178332399835200).

140120231114000 is an abundant number, since it is smaller than the sum of its proper divisors (216544568556400).

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

140120231114000 is a wasteful number, since it uses less digits than its factorization.

140120231114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226858 (or 226842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 140120231114000 its reverse (411132021041), we get a palindrome (140531363135041).

The spelling of 140120231114000 in words is "one hundred forty trillion, one hundred twenty billion, two hundred thirty-one million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 17627 19000 35254 38000 70508 88135 141016 176270 209189 282032 334913 352540 418378 440675 669826 705080 836756 881350 1045945 1339652 1410160 1673512 1674565 1762700 2091890 2203375 2679304 3347024 3349130 3525400 3974591 4183780 4406750 5229725 5358608 6698260 7050800 7949182 8367560 8372825 8813500 10459450 13396520 15898364 16735120 16745650 17627000 19872955 20918900 26148625 26793040 31796728 33491300 35254000 39745910 41837800 41864125 52297250 63593456 66982600 79491820 83675600 83728250 99364775 104594500 133965200 158983640 167456500 198729550 209189000 317967280 334913000 397459100 418378000 496823875 669826000 794918200 993647750 1589836400 1987295500 3687374503 3974591000 7374749006 7949182000 14749498012 18436872515 29498996024 36873745030 58997992048 70060115557 73747490060 92184362575 140120231114 147494980120 184368725150 280240462228 294989960240 350300577785 368737450300 460921812875 560480924456 700601155570 737474900600 921843625750 1120961848912 1401202311140 1474949801200 1751502888925 1843687251500 2802404622280 3503005777850 3687374503000 5604809244560 7006011555700 7374749006000 8757514444625 14012023111400 17515028889250 28024046222800 35030057778500 70060115557000 140120231114000