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1244140100 = 225277125033
BaseRepresentation
bin100101000101000…
…0001001001000100
310012201001212100222
41022022001021010
510021444440400
6323242123512
742555005420
oct11212011104
93181055328
101244140100
11589314965
122a87b0598
1316a9aa598
14bb33db80
1574359185
hex4a281244

1244140100 has 72 divisors (see below), whose sum is σ = 3129049728. Its totient is φ = 420537600.

The previous prime is 1244140099. The next prime is 1244140109. The reversal of 1244140100 is 10414421.

It is not an unprimeable number, because it can be changed into a prime (1244140109) 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, 37184 + ... + 62216.

It is an arithmetic number, because the mean of its divisors is an integer number (43459024).

Almost surely, 21244140100 is an apocalyptic number.

1244140100 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 1244140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564524864).

1244140100 is an abundant number, since it is smaller than the sum of its proper divisors (1884909628).

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

1244140100 is a wasteful number, since it uses less digits than its factorization.

1244140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25125 (or 25118 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1244140100 is about 35272.3702067213. The cubic root of 1244140100 is about 1075.5314048354.

Adding to 1244140100 its reverse (10414421), we get a palindrome (1254554521).

The spelling of 1244140100 in words is "one billion, two hundred forty-four million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 140 142 175 284 350 355 497 700 710 994 1420 1775 1988 2485 3550 4970 7100 9940 12425 24850 25033 49700 50066 100132 125165 175231 250330 350462 500660 625825 700924 876155 1251650 1752310 1777343 2503300 3504620 3554686 4380775 7109372 8761550 8886715 12441401 17523100 17773430 24882802 35546860 44433575 49765604 62207005 88867150 124414010 177734300 248828020 311035025 622070050 1244140100