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1432413010420 = 2257223353917957
BaseRepresentation
bin10100110110000010011…
…101111111100111110100
312001221022022210022212021
4110312002131333213310
5141432040212313140
63014012542002524
7205326346460500
oct24660235774764
95057268708767
101432413010420
1150253488a807
121b1740276444
13a50cab91792
144d4872dd300
15273d8a2eb4a
hex14d8277f9f4

1432413010420 has 144 divisors (see below), whose sum is σ = 3652553761920. Its totient is φ = 469601400576.

The previous prime is 1432413010411. The next prime is 1432413010451. The reversal of 1432413010420 is 240103142341.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79760082 + ... + 79778038.

It is an arithmetic number, because the mean of its divisors is an integer number (25364956680).

Almost surely, 21432413010420 is an apocalyptic number.

1432413010420 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 1432413010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826276880960).

1432413010420 is an abundant number, since it is smaller than the sum of its proper divisors (2220140751500).

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

1432413010420 is a wasteful number, since it uses less digits than its factorization.

1432413010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21542 (or 21533 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1432413010420 its reverse (240103142341), we get a palindrome (1672516152761).

The spelling of 1432413010420 in words is "one trillion, four hundred thirty-two billion, four hundred thirteen million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 3220 3539 4508 5635 7078 11270 14156 17695 17957 22540 24773 35390 35914 49546 70780 71828 81397 89785 99092 123865 125699 162794 173411 179570 247730 251398 325588 346822 359140 406985 413011 495460 502796 569779 628495 693644 813970 826022 867055 879893 1139558 1256990 1627940 1652044 1734110 1759786 2065055 2279116 2513980 2848895 2891077 3468220 3519572 3988453 4130110 4399465 5697790 5782154 7976906 8260220 8798930 11395580 11564308 14455385 15953812 17597860 19942265 20237539 28910770 39884530 40475078 57821540 63549823 79769060 80950156 101187695 127099646 202375390 254199292 317749115 404750780 444848761 635498230 889697522 1270996460 1461645929 1779395044 2224243805 2923291858 3113941327 4448487610 5846583716 6227882654 7308229645 8896975220 10231521503 12455765308 14616459290 15569706635 20463043006 29232918580 31139413270 40926086012 51157607515 62278826540 71620650521 102315215030 143241301042 204630430060 286482602084 358103252605 716206505210 1432413010420