Search a number
-
+
1424031244100 = 2252199245929101
BaseRepresentation
bin10100101110001110111…
…000000101111101000100
312001010200012000111000122
4110232032320011331010
5141312403444302400
63010105123401112
7204611551600133
oct24561670057504
95033605014018
101424031244100
114a9a23570703
121abba1223198
13a439352253a
144ccd005991a
1527097c73685
hex14b8ee05f44

1424031244100 has 72 divisors (see below), whose sum is σ = 3107045928000. Its totient is φ = 566500176000.

The previous prime is 1424031244063. The next prime is 1424031244109. The reversal of 1424031244100 is 14421304241.

It is a self number, because there is not a number n which added to its sum of digits gives 1424031244100.

It is not an unprimeable number, because it can be changed into a prime (1424031244109) 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, 48919550 + ... + 48948650.

Almost surely, 21424031244100 is an apocalyptic number.

1424031244100 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 1424031244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553522964000).

1424031244100 is an abundant number, since it is smaller than the sum of its proper divisors (1683014683900).

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

1424031244100 is a wasteful number, since it uses less digits than its factorization.

1424031244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31773 (or 31766 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1424031244100 its reverse (14421304241), we get a palindrome (1438452548341).

The spelling of 1424031244100 in words is "one trillion, four hundred twenty-four billion, thirty-one million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 398 796 995 1990 2459 3980 4918 4975 9836 9950 12295 19900 24590 29101 49180 58202 61475 116404 122950 145505 245900 291010 489341 582020 727525 978682 1455050 1957364 2446705 2910100 4893410 5791099 9786820 11582198 12233525 23164396 24467050 28955495 48934100 57910990 71559359 115821980 143118718 144777475 286237436 289554950 357796795 579109900 715593590 1431187180 1788983975 3577967950 7155935900 14240312441 28480624882 56961249764 71201562205 142403124410 284806248820 356007811025 712015622050 1424031244100