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1420013430024 = 233737251910139
BaseRepresentation
bin10100101010011111011…
…001010110010100001000
312000202022011210101020220
4110222133121112110020
5141231141414230044
63004202315550040
7204410154000360
oct24523731262410
95022264711226
101420013430024
114a825161a502
121ab25b75b320
13a3ba3004667
144ca2c5c99a0
1526e10180019
hex14a9f656508

1420013430024 has 128 divisors (see below), whose sum is σ = 4183440307200. Its totient is φ = 393179616000.

The previous prime is 1420013430019. The next prime is 1420013430047. The reversal of 1420013430024 is 4200343100241.

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 = 1420013429976 and 1420013430003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105147 + ... + 2015285.

It is an arithmetic number, because the mean of its divisors is an integer number (32683127400).

Almost surely, 21420013430024 is an apocalyptic number.

1420013430024 is a gapful number since it is divisible by the number (14) 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 1420013430024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091720153600).

1420013430024 is an abundant number, since it is smaller than the sum of its proper divisors (2763426877176).

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

1420013430024 is a wasteful number, since it uses less digits than its factorization.

1420013430024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910443 (or 910439 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1420013430024 its reverse (4200343100241), we get a palindrome (5620356530265).

The spelling of 1420013430024 in words is "one trillion, four hundred twenty billion, thirteen million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 251 259 296 444 502 518 753 777 888 1004 1036 1506 1554 1757 2008 2072 3012 3108 3514 5271 6024 6216 7028 9287 10542 14056 18574 21084 27861 37148 42168 55722 65009 74296 111444 130018 195027 222888 260036 390054 520072 780108 910139 1560216 1820278 2730417 3640556 5460834 6370973 7281112 10921668 12741946 19112919 21843336 25483892 33675143 38225838 50967784 67350286 76451676 101025429 134700572 152903352 202050858 228444889 235726001 269401144 404101716 456889778 471452002 685334667 707178003 808203432 913779556 942904004 1370669334 1414356006 1599114223 1827559112 1885808008 2741338668 2828712012 3198228446 4797342669 5482677336 5657424024 6396456892 8452460893 9594685338 12792913784 16904921786 19189370676 25357382679 33809843572 38378741352 50714765358 59167226251 67619687144 101429530716 118334452502 177501678753 202859061432 236668905004 355003357506 473337810008 710006715012 1420013430024