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1424213204200 = 235247801118913
BaseRepresentation
bin10100101110011001101…
…110001101110011101000
312001011010212102000100121
4110232121232031303220
5141313242040013300
63010135143413024
7204616221331063
oct24563156156350
95034125360317
101424213204200
114aa007251a56
121b0032154174
13a43c2131637
144cd0a2a38da
15270a8c1781a
hex14b99b8dce8

1424213204200 has 96 divisors (see below), whose sum is σ = 3382349765760. Its totient is φ = 557465241600.

The previous prime is 1424213204171. The next prime is 1424213204207. The reversal of 1424213204200 is 24023124241.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1424213204207) 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, 75293944 + ... + 75312856.

It is an arithmetic number, because the mean of its divisors is an integer number (35232810060).

Almost surely, 21424213204200 is an apocalyptic number.

1424213204200 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 1424213204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691174882880).

1424213204200 is an abundant number, since it is smaller than the sum of its proper divisors (1958136561560).

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

1424213204200 is a wasteful number, since it uses less digits than its factorization.

1424213204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26987 (or 26978 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 1424213204200 its reverse (24023124241), we get a palindrome (1448236328441).

The spelling of 1424213204200 in words is "one trillion, four hundred twenty-four billion, two hundred thirteen million, two hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 8011 9400 16022 18913 32044 37826 40055 64088 75652 80110 94565 151304 160220 189130 200275 320440 376517 378260 400550 472825 753034 756520 801100 888911 945650 1506068 1602200 1777822 1882585 1891300 3012136 3555644 3765170 3782600 4444555 7111288 7530340 8889110 9412925 15060680 17778220 18825850 22222775 35556440 37651700 44445550 75303400 88891100 151512043 177782200 303024086 606048172 757560215 1212096344 1515120430 3030240860 3787801075 6060481720 7121066021 7575602150 14242132042 15151204300 28484264084 30302408600 35605330105 56968528168 71210660210 142421320420 178026650525 284842640840 356053301050 712106602100 1424213204200