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140420430024 = 23372336340691
BaseRepresentation
bin1000001011000110110…
…1011011100011001000
3111102110010210221022120
42002301231123203020
54300040112230044
6144301441051240
713100514650550
oct2026155334310
9442403727276
10140420430024
1154608743476
122326a626b20
131031aa07664
146b213d0160
1539bcabd519
hex20b1b5b8c8

140420430024 has 64 divisors (see below), whose sum is σ = 418644771840. Its totient is φ = 38375768640.

The previous prime is 140420430011. The next prime is 140420430109. The reversal of 140420430024 is 420034024041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 140420429976 and 140420430003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18166482 + ... + 18174209.

It is an arithmetic number, because the mean of its divisors is an integer number (6541324560).

Almost surely, 2140420430024 is an apocalyptic number.

140420430024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

140420430024 is an abundant number, since it is smaller than the sum of its proper divisors (278224341816).

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

140420430024 is a wasteful number, since it uses less digits than its factorization.

140420430024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36340730 (or 36340726 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 140420430024 its reverse (420034024041), we get a palindrome (560454454065).

The spelling of 140420430024 in words is "one hundred forty billion, four hundred twenty million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 36340691 72681382 109022073 145362764 218044146 254384837 290725528 436088292 508769674 763154511 835835893 872176584 1017539348 1526309022 1671671786 2035078696 2507507679 3052618044 3343343572 5015015358 5850851251 6105236088 6686687144 10030030716 11701702502 17552553753 20060061432 23403405004 35105107506 46806810008 70210215012 140420430024