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1424333414000 = 24537711432931
BaseRepresentation
bin10100101110100000111…
…000110001111001110000
312001011110020121022012102
4110232200320301321300
5141314013323222000
63010155120115532
7204622211155010
oct24564070617160
95034406538172
101424333414000
114aa0690973a2
121b0066465ba8
13a4410cccbb3
144cd1c235c40
15270b45603d5
hex14ba0e31e70

1424333414000 has 160 divisors (see below), whose sum is σ = 3991483671552. Its totient is φ = 481464480000.

The previous prime is 1424333413967. The next prime is 1424333414011. The reversal of 1424333414000 is 4143334241.

It is a happy number.

It is a congruent number.

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, 277535 + ... + 1710465.

Almost surely, 21424333414000 is an apocalyptic number.

1424333414000 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 1424333414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995741835776).

1424333414000 is an abundant number, since it is smaller than the sum of its proper divisors (2567150257552).

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

1424333414000 is a wasteful number, since it uses less digits than its factorization.

1424333414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433032 (or 1433016 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 1424333414000 its reverse (4143334241), we get a palindrome (1428476748241).

The spelling of 1424333414000 in words is "one trillion, four hundred twenty-four billion, three hundred thirty-three million, four hundred fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 71 80 100 112 125 140 142 175 200 250 280 284 350 355 400 497 500 560 568 700 710 875 994 1000 1136 1400 1420 1750 1775 1988 2000 2485 2800 2840 3500 3550 3976 4970 5680 7000 7100 7952 8875 9940 12425 14000 14200 17750 19880 24850 28400 35500 39760 49700 62125 71000 99400 124250 142000 198800 248500 497000 994000 1432931 2865862 5731724 7164655 10030517 11463448 14329310 20061034 22926896 28658620 35823275 40122068 50152585 57317240 71646550 80244136 100305170 101738101 114634480 143293100 160488272 179116375 200610340 203476202 250762925 286586200 358232750 401220680 406952404 501525850 508690505 573172400 712166707 716465500 802441360 813904808 1003051700 1017381010 1253814625 1424333414 1432931000 1627809616 2006103400 2034762020 2507629250 2543452525 2848666828 2865862000 3560833535 4012206800 4069524040 5015258500 5086905050 5697333656 7121667070 8139048080 10030517000 10173810100 11394667312 12717262625 14243334140 17804167675 20061034000 20347620200 25434525250 28486668280 35608335350 40695240400 50869050500 56973336560 71216670700 89020838375 101738101000 142433341400 178041676750 203476202000 284866682800 356083353500 712166707000 1424333414000